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thank<00:00:10.880><c> you</c><00:00:10.960><c> for</c><00:00:11.080><c> the</c><00:00:11.559><c> introduction</c>

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thank you for the introduction
 

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thank you for the introduction
um<00:00:14.120><c> hi</c><00:00:14.240><c> everyone</c><00:00:14.519><c> my</c><00:00:14.599><c> name</c><00:00:14.719><c> is</c><00:00:14.839><c> Theo</c><00:00:15.519><c> um</c><00:00:15.639><c> I</c><00:00:15.719><c> do</c>

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um hi everyone my name is Theo um I do
 

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um hi everyone my name is Theo um I do
research<00:00:16.320><c> at</c><00:00:16.480><c> B</c><00:00:16.720><c> capital</c><00:00:17.080><c> crypto</c><00:00:17.520><c> and</c><00:00:17.640><c> I'm</c>

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research at B capital crypto and I'm
 

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research at B capital crypto and I'm
also<00:00:17.960><c> going</c><00:00:18.080><c> to</c><00:00:18.320><c> talk</c><00:00:18.520><c> about</c><00:00:18.800><c> decentralized</c>

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also going to talk about decentralized
 

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also going to talk about decentralized
exchanges<00:00:20.320><c> um</c><00:00:20.560><c> I</c><00:00:20.640><c> want</c><00:00:20.840><c> to</c><00:00:21.160><c> kind</c><00:00:21.279><c> of</c><00:00:21.840><c> focus</c>

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exchanges um I want to kind of focus
 

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exchanges um I want to kind of focus
this<00:00:22.400><c> conversation</c><00:00:23.199><c> around</c><00:00:23.519><c> the</c><00:00:23.640><c> liquidity</c>

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this conversation around the liquidity
 

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this conversation around the liquidity
providers<00:00:24.960><c> and</c><00:00:25.119><c> this</c><00:00:25.279><c> talk</c><00:00:25.480><c> is</c><00:00:25.599><c> really</c><00:00:25.760><c> going</c>

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providers and this talk is really going
 

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providers and this talk is really going
to<00:00:25.960><c> be</c><00:00:26.080><c> a</c><00:00:26.160><c> call</c><00:00:26.359><c> to</c><00:00:26.560><c> action</c><00:00:26.960><c> for</c><00:00:27.199><c> some</c><00:00:27.920><c> research</c>

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to be a call to action for some research
 

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to be a call to action for some research
and<00:00:28.519><c> then</c><00:00:28.720><c> also</c><00:00:29.160><c> product</c><00:00:29.439><c> development</c><00:00:30.039><c> I</c>

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and then also product development I
 

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and then also product development I
think<00:00:30.240><c> would</c><00:00:30.359><c> be</c><00:00:30.519><c> quite</c>

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think would be quite
 

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think would be quite
interesting<00:00:32.239><c> um</c><00:00:32.520><c> so</c><00:00:32.719><c> let's</c><00:00:32.960><c> look</c><00:00:33.280><c> at</c><00:00:33.520><c> the</c>

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interesting um so let's look at the
 

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interesting um so let's look at the
value<00:00:34.320><c> of</c><00:00:34.960><c> an</c><00:00:35.120><c> LP</c><00:00:35.680><c> position</c><00:00:36.399><c> in</c><00:00:36.680><c> an</c><00:00:36.879><c> amm</c><00:00:37.879><c> I'm</c>

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value of an LP position in an amm I'm
 

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value of an LP position in an amm I'm
going<00:00:38.160><c> to</c><00:00:38.360><c> say</c><00:00:38.719><c> that</c><00:00:39.000><c> we</c><00:00:39.239><c> have</c><00:00:39.680><c> two</c><00:00:40.000><c> assets</c><00:00:40.480><c> one</c>

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going to say that we have two assets one
 

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going to say that we have two assets one
is<00:00:40.760><c> a</c><00:00:40.879><c> numerar</c><00:00:41.640><c> and</c><00:00:41.800><c> the</c><00:00:41.960><c> other</c><00:00:42.239><c> is</c><00:00:42.640><c> some</c><00:00:42.920><c> asset</c>

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is a numerar and the other is some asset
 

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is a numerar and the other is some asset
whatever<00:00:43.559><c> you</c><00:00:43.680><c> want</c><00:00:44.399><c> with</c><00:00:44.680><c> Price</c><00:00:45.039><c> p</c><00:00:45.640><c> valued</c><00:00:46.199><c> in</c>

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whatever you want with Price p valued in
 

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whatever you want with Price p valued in
terms<00:00:46.520><c> of</c><00:00:46.640><c> the</c><00:00:46.760><c> numerar</c><00:00:47.360><c> so</c><00:00:47.480><c> you</c><00:00:47.559><c> can</c><00:00:47.719><c> think</c><00:00:47.879><c> of</c>

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terms of the numerar so you can think of
 

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terms of the numerar so you can think of
maybe<00:00:48.520><c> the</c><00:00:48.680><c> first</c><00:00:49.000><c> asset</c><00:00:49.239><c> is</c><00:00:49.399><c> ethereum</c><00:00:50.280><c> the</c>

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maybe the first asset is ethereum the
 

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maybe the first asset is ethereum the
second<00:00:50.760><c> asset</c><00:00:51.239><c> is</c><00:00:51.840><c> uh</c><00:00:52.039><c> some</c><00:00:52.280><c> other</c><00:00:53.000><c> uh</c><00:00:53.160><c> some</c>

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second asset is uh some other uh some
 

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second asset is uh some other uh some
other<00:00:53.600><c> token</c><00:00:54.440><c> and</c><00:00:54.680><c> P</c><00:00:54.960><c> is</c><00:00:55.120><c> the</c><00:00:55.280><c> price</c><00:00:55.640><c> of</c><00:00:55.800><c> that</c>

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other token and P is the price of that
 

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other token and P is the price of that
other<00:00:56.199><c> token</c><00:00:56.559><c> in</c><00:00:56.680><c> terms</c><00:00:56.920><c> of</c><00:00:57.519><c> ethereum</c><00:00:58.519><c> and</c><00:00:59.079><c> uh</c>

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other token in terms of ethereum and uh
 

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other token in terms of ethereum and uh
this<00:00:59.519><c> amm</c><00:01:00.079><c> has</c><00:01:00.199><c> a</c><00:01:00.280><c> set</c><00:01:00.440><c> of</c><00:01:00.559><c> allowable</c><00:01:01.079><c> States</c>

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this amm has a set of allowable States
 

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this amm has a set of allowable States
so<00:01:01.600><c> we</c><00:01:01.680><c> can</c><00:01:01.840><c> think</c><00:01:02.039><c> about</c><00:01:02.399><c> it</c><00:01:02.640><c> as</c><00:01:02.879><c> having</c><00:01:03.160><c> some</c>

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so we can think about it as having some
 

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so we can think about it as having some
set<00:01:03.519><c> of</c><00:01:03.680><c> reserves</c><00:01:04.439><c> and</c><00:01:04.559><c> it</c><00:01:04.680><c> says</c><00:01:05.000><c> I</c><00:01:05.080><c> will</c><00:01:05.239><c> let</c>

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set of reserves and it says I will let
 

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set of reserves and it says I will let
the<00:01:05.519><c> reserves</c><00:01:06.040><c> change</c><00:01:06.439><c> in</c><00:01:06.760><c> particular</c><00:01:07.280><c> ways</c>

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the reserves change in particular ways
 

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the reserves change in particular ways
so<00:01:08.439><c> what's</c><00:01:08.680><c> the</c><00:01:08.880><c> value</c><00:01:09.720><c> of</c><00:01:09.920><c> the</c><00:01:10.080><c> liquidity</c>

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so what's the value of the liquidity
 

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so what's the value of the liquidity
provider<00:01:11.040><c> position</c><00:01:11.600><c> well</c><00:01:11.759><c> if</c><00:01:11.880><c> we</c><00:01:12.040><c> assume</c>

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provider position well if we assume
 

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provider position well if we assume
there's<00:01:12.600><c> one</c><00:01:12.799><c> Arbitrage</c><00:01:13.320><c> or</c><00:01:13.680><c> at</c><00:01:13.799><c> least</c><00:01:14.000><c> one</c>

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there's one Arbitrage or at least one
 

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there's one Arbitrage or at least one
arbitrageur<00:01:14.840><c> who's</c><00:01:15.000><c> going</c><00:01:15.119><c> to</c><00:01:15.240><c> try</c><00:01:15.400><c> to</c>

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arbitrageur who's going to try to
 

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arbitrageur who's going to try to
extract<00:01:16.280><c> as</c><00:01:16.439><c> much</c><00:01:16.720><c> value</c><00:01:17.119><c> as</c><00:01:17.360><c> possible</c><00:01:18.119><c> from</c>

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extract as much value as possible from
 

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extract as much value as possible from
the<00:01:18.439><c> amm</c><00:01:19.280><c> we</c><00:01:19.439><c> get</c><00:01:19.600><c> this</c><00:01:19.759><c> minimization</c>

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the amm we get this minimization
 

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the amm we get this minimization
function<00:01:21.240><c> or</c><00:01:21.360><c> sorry</c><00:01:21.640><c> this</c><00:01:21.759><c> minimization</c>

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function or sorry this minimization
 

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function or sorry this minimization
problem<00:01:22.799><c> which</c><00:01:22.960><c> essentially</c><00:01:23.360><c> says</c><00:01:23.680><c> the</c><00:01:23.840><c> value</c>

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problem which essentially says the value
 

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problem which essentially says the value
of<00:01:24.439><c> an</c><00:01:24.560><c> LP</c><00:01:24.960><c> position</c><00:01:25.880><c> is</c><00:01:26.119><c> the</c><00:01:26.320><c> minimum</c><00:01:26.799><c> value</c>

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of an LP position is the minimum value
 

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of an LP position is the minimum value
uh<00:01:27.840><c> among</c><00:01:28.280><c> all</c><00:01:28.560><c> the</c><00:01:28.720><c> sets</c><00:01:29.040><c> of</c><00:01:29.200><c> allowable</c>

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uh among all the sets of allowable
 

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uh among all the sets of allowable
Reserves<00:01:30.119><c> reses</c><00:01:31.119><c> so</c><00:01:31.479><c> for</c><00:01:32.040><c> what's</c><00:01:32.320><c> most</c><00:01:32.560><c> common</c>

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Reserves reses so for what's most common
 

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Reserves reses so for what's most common
which<00:01:33.040><c> is</c><00:01:33.159><c> the</c><00:01:33.320><c> constant</c><00:01:33.640><c> function</c><00:01:33.920><c> market</c>

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which is the constant function market
 

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which is the constant function market
makers<00:01:35.079><c> that</c><00:01:35.320><c> set</c><00:01:35.520><c> of</c><00:01:35.680><c> allowable</c><00:01:36.200><c> reserves</c><00:01:36.640><c> is</c>

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makers that set of allowable reserves is
 

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makers that set of allowable reserves is
just<00:01:36.960><c> going</c><00:01:37.159><c> to</c><00:01:37.280><c> be</c><00:01:37.479><c> essentially</c><00:01:37.960><c> some</c>

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just going to be essentially some
 

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just going to be essentially some
invariant<00:01:39.560><c> uh</c><00:01:39.840><c> evaluate</c><00:01:40.439><c> the</c><00:01:40.560><c> reserves</c><00:01:40.960><c> that</c>

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invariant uh evaluate the reserves that
 

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invariant uh evaluate the reserves that
has<00:01:41.240><c> to</c><00:01:41.360><c> be</c><00:01:41.520><c> greater</c><00:01:41.799><c> than</c><00:01:41.920><c> or</c><00:01:42.119><c> equal</c><00:01:42.479><c> to</c><00:01:43.200><c> some</c>

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has to be greater than or equal to some
 

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has to be greater than or equal to some
constant<00:01:45.200><c> so</c><00:01:45.399><c> just</c><00:01:45.520><c> to</c><00:01:46.040><c> make</c><00:01:46.240><c> this</c><00:01:46.439><c> very</c>

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constant so just to make this very
 

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constant so just to make this very
concrete<00:01:47.119><c> with</c><00:01:47.240><c> an</c><00:01:47.439><c> example</c><00:01:47.960><c> let's</c><00:01:48.159><c> take</c><00:01:48.280><c> a</c>

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concrete with an example let's take a
 

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concrete with an example let's take a
constant<00:01:48.840><c> product</c><00:01:49.159><c> amm</c><00:01:49.799><c> uh</c><00:01:49.880><c> so</c><00:01:50.040><c> things</c><00:01:50.240><c> like</c>

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constant product amm uh so things like
 

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constant product amm uh so things like
Unis<00:01:50.719><c> swap</c><00:01:50.960><c> V2</c><00:01:51.960><c> and</c><00:01:52.159><c> for</c><00:01:52.399><c> that</c><00:01:52.600><c> we're</c><00:01:52.759><c> going</c><00:01:52.880><c> to</c>

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Unis swap V2 and for that we're going to
 

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Unis swap V2 and for that we're going to
have<00:01:53.159><c> this</c><00:01:53.320><c> square</c><00:01:53.600><c> root</c><00:01:53.799><c> in</c><00:01:54.000><c> variant</c><00:01:54.880><c> if</c><00:01:55.079><c> we</c>

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have this square root in variant if we
 

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have this square root in variant if we
plug<00:01:55.719><c> this</c><00:01:55.880><c> in</c><00:01:56.079><c> and</c><00:01:56.240><c> kind</c><00:01:56.360><c> of</c><00:01:56.479><c> go</c><00:01:56.680><c> through</c>

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plug this in and kind of go through
 

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plug this in and kind of go through
everything<00:01:57.399><c> we</c><00:01:57.520><c> get</c><00:01:57.680><c> the</c><00:01:57.840><c> value</c><00:01:58.119><c> of</c><00:01:58.280><c> the</c>

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everything we get the value of the
 

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everything we get the value of the
liquidity<00:01:58.960><c> provider</c><00:01:59.399><c> position</c><00:02:00.200><c> at</c><00:02:00.439><c> time</c><00:02:00.680><c> T</c><00:02:01.159><c> So</c>

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liquidity provider position at time T So
 

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liquidity provider position at time T So
at<00:02:01.759><c> t</c><00:02:02.560><c> uh</c><00:02:02.719><c> amount</c><00:02:02.920><c> of</c><00:02:03.200><c> time</c><00:02:03.560><c> after</c><00:02:03.840><c> this</c>

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at t uh amount of time after this
 

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at t uh amount of time after this
position<00:02:04.360><c> was</c><00:02:04.520><c> opened</c><00:02:05.520><c> is</c><00:02:05.759><c> essentially</c>

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position was opened is essentially
 

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position was opened is essentially
proportional<00:02:06.880><c> to</c><00:02:07.079><c> the</c><00:02:07.200><c> square</c><00:02:07.560><c> root</c><00:02:08.000><c> of</c><00:02:08.160><c> the</c>

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proportional to the square root of the
 

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proportional to the square root of the
price<00:02:09.160><c> plus</c><00:02:09.360><c> a</c><00:02:09.520><c> term</c><00:02:09.840><c> that</c><00:02:10.000><c> depends</c><00:02:10.360><c> on</c><00:02:10.479><c> the</c>

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price plus a term that depends on the
 

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price plus a term that depends on the
fees<00:02:11.680><c> so</c><00:02:11.879><c> we</c><00:02:12.040><c> look</c><00:02:12.160><c> at</c><00:02:12.360><c> this</c><00:02:12.520><c> and</c><00:02:12.800><c> there's</c><00:02:12.959><c> a</c>

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fees so we look at this and there's a
 

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fees so we look at this and there's a
few<00:02:13.360><c> questions</c><00:02:13.800><c> that</c><00:02:13.959><c> one</c><00:02:14.160><c> might</c><00:02:14.400><c> ask</c><00:02:14.640><c> or</c><00:02:14.800><c> a</c>

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few questions that one might ask or a
 

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few questions that one might ask or a
few<00:02:15.080><c> kind</c><00:02:15.200><c> of</c><00:02:15.760><c> considerations</c><00:02:16.760><c> uh</c><00:02:16.959><c> first</c><00:02:17.239><c> is</c>

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few kind of considerations uh first is
 

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few kind of considerations uh first is
do<00:02:17.640><c> I</c><00:02:17.760><c> want</c><00:02:18.000><c> this</c><00:02:18.160><c> derivative</c><00:02:19.000><c> uh</c><00:02:19.160><c> do</c><00:02:19.319><c> I</c><00:02:19.440><c> want</c>

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do I want this derivative uh do I want
 

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do I want this derivative uh do I want
this<00:02:20.200><c> product</c><00:02:21.200><c> second</c><00:02:21.560><c> is</c><00:02:21.800><c> what</c><00:02:22.000><c> rebalancing</c>

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this product second is what rebalancing
 

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this product second is what rebalancing
cost<00:02:23.120><c> am</c><00:02:23.239><c> I</c><00:02:23.319><c> going</c><00:02:23.440><c> to</c><00:02:23.560><c> pay</c><00:02:23.800><c> Arbitrage</c><00:02:24.360><c> ORS</c><00:02:25.040><c> to</c>

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cost am I going to pay Arbitrage ORS to
 

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cost am I going to pay Arbitrage ORS to
maintain<00:02:26.440><c> this</c><00:02:27.200><c> uh</c><00:02:27.400><c> position's</c><00:02:27.920><c> value</c><00:02:28.280><c> for</c><00:02:28.640><c> me</c>

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maintain this uh position's value for me
 

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maintain this uh position's value for me
and<00:02:29.959><c> then</c><00:02:30.120><c> third</c><00:02:30.400><c> is</c><00:02:30.599><c> can</c><00:02:30.720><c> I</c><00:02:30.879><c> hedge</c><00:02:31.160><c> the</c><00:02:31.319><c> price</c>

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and then third is can I hedge the price
 

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and then third is can I hedge the price
movement<00:02:32.000><c> let's</c><00:02:32.160><c> say</c><00:02:32.360><c> I</c><00:02:32.519><c> just</c><00:02:32.640><c> want</c><00:02:32.879><c> fees</c><00:02:33.360><c> I</c>

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movement let's say I just want fees I
 

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movement let's say I just want fees I
just<00:02:33.599><c> want</c><00:02:33.800><c> fees</c><00:02:34.080><c> for</c><00:02:34.400><c> providing</c><00:02:34.760><c> my</c>

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just want fees for providing my
 

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just want fees for providing my
liquidity<00:02:35.720><c> I</c><00:02:35.800><c> don't</c><00:02:35.920><c> want</c><00:02:36.040><c> to</c><00:02:36.160><c> be</c><00:02:36.360><c> exposed</c><00:02:36.720><c> to</c>

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liquidity I don't want to be exposed to
 

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liquidity I don't want to be exposed to
the<00:02:36.920><c> price</c><00:02:37.160><c> movement</c><00:02:37.599><c> how</c><00:02:37.800><c> easy</c><00:02:38.720><c> is</c><00:02:38.840><c> it</c><00:02:39.080><c> to</c>

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the price movement how easy is it to
 

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the price movement how easy is it to
hedge<00:02:39.640><c> this</c><00:02:40.599><c> so</c><00:02:41.080><c> I'll</c><00:02:41.680><c> review</c><00:02:42.080><c> some</c><00:02:42.280><c> of</c><00:02:42.440><c> the</c>

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hedge this so I'll review some of the
 

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hedge this so I'll review some of the
current<00:02:42.920><c> research</c><00:02:43.360><c> which</c><00:02:43.480><c> is</c><00:02:43.640><c> mostly</c><00:02:43.959><c> on</c><00:02:44.159><c> this</c>

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current research which is mostly on this
 

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current research which is mostly on this
first<00:02:44.680><c> question</c><00:02:45.040><c> do</c><00:02:45.200><c> I</c><00:02:45.319><c> want</c><00:02:45.480><c> this</c><00:02:45.640><c> derivative</c>

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first question do I want this derivative
 

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first question do I want this derivative
and<00:02:46.800><c> there</c><00:02:46.959><c> the</c><00:02:47.080><c> question</c><00:02:47.319><c> is</c><00:02:47.640><c> okay</c><00:02:48.040><c> well</c>

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and there the question is okay well
 

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and there the question is okay well
let's<00:02:48.599><c> say</c><00:02:48.800><c> there's</c><00:02:49.000><c> something</c><00:02:49.319><c> I</c><00:02:49.440><c> want</c><00:02:49.680><c> so</c>

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let's say there's something I want so
 

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let's say there's something I want so
some<00:02:50.760><c> portfolio</c><00:02:51.360><c> value</c><00:02:51.680><c> V</c><00:02:52.000><c> that</c><00:02:52.159><c> I</c><00:02:52.280><c> want</c><00:02:52.879><c> how</c>

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some portfolio value V that I want how
 

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some portfolio value V that I want how
do<00:02:53.159><c> I</c><00:02:53.280><c> get</c><00:02:53.440><c> to</c><00:02:53.599><c> an</c><00:02:53.760><c> invariant</c><00:02:54.560><c> for</c><00:02:54.800><c> a</c><00:02:54.959><c> constant</c>

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do I get to an invariant for a constant
 

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do I get to an invariant for a constant
function<00:02:55.640><c> Market</c><00:02:55.920><c> maker</c><00:02:56.280><c> that</c><00:02:56.440><c> gives</c><00:02:56.640><c> me</c><00:02:56.920><c> said</c>

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function Market maker that gives me said
 

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function Market maker that gives me said
value<00:02:58.360><c> um</c><00:02:59.040><c> we</c><00:02:59.159><c> see</c><00:02:59.360><c> some</c><00:02:59.519><c> examp</c><00:02:59.840><c> examples</c><00:03:00.159><c> in</c>

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value um we see some examp examples in
 

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value um we see some examp examples in
practice<00:03:01.000><c> I'm</c><00:03:01.239><c> using</c><00:03:01.519><c> this</c><00:03:01.760><c> Loosely</c><00:03:02.760><c> but</c><00:03:03.120><c> uh</c>

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practice I'm using this Loosely but uh
 

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practice I'm using this Loosely but uh
things<00:03:03.799><c> like</c><00:03:04.400><c> zero</c><00:03:04.799><c> coupon</c><00:03:05.200><c> bonds</c><00:03:05.599><c> at</c>

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things like zero coupon bonds at
 

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things like zero coupon bonds at
maturity<00:03:06.360><c> some</c><00:03:06.519><c> of</c><00:03:06.640><c> the</c><00:03:06.799><c> yield</c><00:03:07.120><c> token</c><00:03:07.440><c> pools</c>

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maturity some of the yield token pools
 

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maturity some of the yield token pools
look<00:03:08.040><c> kind</c><00:03:08.200><c> of</c><00:03:08.360><c> like</c><00:03:08.640><c> this</c><00:03:09.440><c> uh</c><00:03:09.560><c> we</c><00:03:09.720><c> also</c><00:03:09.920><c> see</c>

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look kind of like this uh we also see
 

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look kind of like this uh we also see
things<00:03:11.840><c> like</c><00:03:12.040><c> weighted</c><00:03:12.440><c> portfolios</c><00:03:13.159><c> so</c>

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things like weighted portfolios so
 

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things like weighted portfolios so
things<00:03:13.720><c> like</c><00:03:13.920><c> balancer</c><00:03:14.400><c> pools</c><00:03:14.760><c> geometric</c>

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things like balancer pools geometric
 

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things like balancer pools geometric
mean<00:03:15.440><c> market</c><00:03:15.720><c> makers</c><00:03:16.400><c> uh</c><00:03:16.519><c> some</c><00:03:16.640><c> of</c><00:03:16.760><c> the</c>

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mean market makers uh some of the
 

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mean market makers uh some of the
Perpetual<00:03:17.319><c> exchange</c><00:03:17.720><c> lending</c><00:03:18.080><c> pools</c><00:03:18.720><c> look</c>

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Perpetual exchange lending pools look
 

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Perpetual exchange lending pools look
kind<00:03:19.040><c> of</c><00:03:19.159><c> like</c><00:03:19.319><c> these</c><00:03:19.480><c> weighted</c><00:03:20.280><c> portfolios</c>

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kind of like these weighted portfolios
 

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kind of like these weighted portfolios
uh<00:03:21.400><c> we've</c><00:03:21.560><c> seen</c><00:03:21.879><c> covered</c><00:03:22.200><c> calls</c><00:03:22.480><c> on</c><00:03:22.680><c> chain</c><00:03:22.959><c> and</c>

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uh we've seen covered calls on chain and
 

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uh we've seen covered calls on chain and
other<00:03:23.440><c> people</c><00:03:23.840><c> build</c><00:03:24.239><c> options</c><00:03:24.799><c> on</c><00:03:25.000><c> top</c><00:03:25.159><c> of</c><00:03:25.599><c> amm</c>

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other people build options on top of amm
 

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other people build options on top of amm
and<00:03:26.720><c> then</c><00:03:26.879><c> we've</c><00:03:27.080><c> also</c><00:03:27.280><c> seen</c><00:03:27.519><c> recent</c>

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and then we've also seen recent
 

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and then we've also seen recent
proposals<00:03:28.760><c> uh</c><00:03:28.840><c> for</c><00:03:29.159><c> things</c><00:03:29.599><c> like</c><00:03:29.959><c> prediction</c>

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proposals uh for things like prediction
 

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proposals uh for things like prediction
Market<00:03:30.799><c> amms</c><00:03:31.599><c> there's</c><00:03:31.720><c> a</c><00:03:31.840><c> recent</c><00:03:32.159><c> blog</c><00:03:32.480><c> post</c>

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Market amms there's a recent blog post
 

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Market amms there's a recent blog post
from<00:03:32.959><c> Dan</c><00:03:33.159><c> and</c><00:03:33.280><c> CMAC</c><00:03:33.840><c> on</c><00:03:34.400><c> that</c><00:03:35.400><c> the</c><00:03:35.599><c> general</c>

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from Dan and CMAC on that the general
 

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from Dan and CMAC on that the general
theory<00:03:36.840><c> for</c><00:03:37.159><c> the</c><00:03:37.400><c> static</c><00:03:37.879><c> case</c><00:03:38.239><c> so</c><00:03:38.480><c> for</c><00:03:38.640><c> the</c>

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theory for the static case so for the
 

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theory for the static case so for the
case<00:03:39.280><c> where</c><00:03:39.720><c> the</c><00:03:39.920><c> time</c><00:03:40.239><c> te</c><00:03:40.680><c> doesn't</c><00:03:41.040><c> matter</c><00:03:41.680><c> uh</c>

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case where the time te doesn't matter uh
 

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case where the time te doesn't matter uh
from<00:03:42.159><c> replicating</c><00:03:42.720><c> market</c><00:03:43.000><c> makers</c><00:03:43.360><c> papers</c><00:03:43.959><c> in</c>

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from replicating market makers papers in
 

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from replicating market makers papers in
uh<00:03:44.400><c> 2021</c><00:03:45.400><c> 2023</c><00:03:46.400><c> says</c><00:03:46.799><c> that</c><00:03:47.080><c> if</c><00:03:47.239><c> that</c><00:03:47.400><c> portfolio</c>

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uh 2021 2023 says that if that portfolio
 

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uh 2021 2023 says that if that portfolio
value<00:03:48.400><c> function</c><00:03:49.280><c> is</c><00:03:49.480><c> some</c><00:03:49.879><c> concave</c>

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value function is some concave
 

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value function is some concave
homogeneous<00:03:50.920><c> increasing</c><00:03:51.439><c> function</c><00:03:52.159><c> we</c><00:03:52.280><c> could</c>

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homogeneous increasing function we could
 

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homogeneous increasing function we could
figure<00:03:52.760><c> out</c><00:03:53.040><c> the</c><00:03:53.200><c> cfmm</c><00:03:54.200><c> that</c><00:03:54.400><c> gives</c><00:03:54.680><c> us</c><00:03:55.079><c> said</c>

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figure out the cfmm that gives us said
 

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figure out the cfmm that gives us said
function<00:03:58.360><c> however</c><00:03:58.920><c> this</c><00:03:59.079><c> doesn't</c><00:03:59.360><c> really</c>

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function however this doesn't really
 

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function however this doesn't really
tell<00:04:00.000><c> us</c><00:04:00.400><c> why</c><00:04:00.799><c> some</c><00:04:00.959><c> of</c><00:04:01.079><c> this</c><00:04:01.239><c> stuff</c><00:04:01.480><c> works</c><00:04:01.760><c> in</c>

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tell us why some of this stuff works in
 

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tell us why some of this stuff works in
practice<00:04:02.480><c> some</c><00:04:02.599><c> of</c><00:04:02.760><c> the</c><00:04:02.920><c> stuff</c><00:04:03.239><c> doesn't</c><00:04:03.560><c> seem</c>

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practice some of the stuff doesn't seem
 

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practice some of the stuff doesn't seem
to<00:04:03.920><c> have</c><00:04:04.040><c> worked</c><00:04:04.360><c> in</c><00:04:04.599><c> practice</c><00:04:05.319><c> how</c><00:04:05.439><c> do</c><00:04:05.560><c> we</c><00:04:05.720><c> do</c>

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to have worked in practice how do we do
 

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to have worked in practice how do we do
it<00:04:05.959><c> in</c><00:04:06.079><c> the</c><00:04:06.239><c> dynamic</c><00:04:06.760><c> case</c><00:04:07.079><c> that</c><00:04:07.200><c> was</c><00:04:07.319><c> only</c><00:04:07.519><c> in</c>

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it in the dynamic case that was only in
 

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it in the dynamic case that was only in
the<00:04:07.840><c> static</c><00:04:08.239><c> case</c><00:04:08.760><c> and</c><00:04:08.840><c> there's</c><00:04:09.040><c> a</c><00:04:09.159><c> few</c><00:04:09.400><c> things</c>

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the static case and there's a few things
 

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the static case and there's a few things
that<00:04:09.879><c> I</c><00:04:10.000><c> think</c><00:04:10.200><c> at</c><00:04:10.319><c> least</c><00:04:10.480><c> are</c><00:04:10.760><c> key</c><00:04:11.040><c> factors</c>

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that I think at least are key factors
 

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that I think at least are key factors
here<00:04:13.680><c> for</c><00:04:14.000><c> that</c><00:04:14.840><c> uh</c><00:04:15.000><c> I</c><00:04:15.079><c> think</c><00:04:15.280><c> the</c><00:04:15.400><c> ease</c><00:04:15.760><c> of</c>

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here for that uh I think the ease of
 

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here for that uh I think the ease of
hedging<00:04:16.199><c> the</c><00:04:16.359><c> price</c><00:04:16.799><c> movement</c><00:04:17.799><c> essentially</c>

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hedging the price movement essentially
 

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hedging the price movement essentially
if<00:04:18.720><c> LPS</c><00:04:19.280><c> desire</c><00:04:19.680><c> some</c><00:04:19.880><c> delta</c><00:04:20.199><c> neutral</c>

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if LPS desire some delta neutral
 

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if LPS desire some delta neutral
strategy<00:04:21.079><c> so</c><00:04:21.239><c> they're</c><00:04:21.440><c> not</c><00:04:21.720><c> taking</c><00:04:22.479><c> uh</c><00:04:22.759><c> risk</c>

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strategy so they're not taking uh risk
 

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strategy so they're not taking uh risk
on<00:04:23.400><c> the</c><00:04:23.520><c> price</c><00:04:23.840><c> of</c><00:04:23.960><c> the</c><00:04:24.040><c> underlying</c><00:04:24.600><c> asset</c><00:04:25.320><c> how</c>

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on the price of the underlying asset how
 

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on the price of the underlying asset how
do<00:04:25.600><c> they</c><00:04:25.759><c> do</c><00:04:25.960><c> that</c><00:04:26.160><c> with</c><00:04:26.280><c> an</c><00:04:26.440><c> amm</c><00:04:26.919><c> so</c><00:04:27.120><c> they</c><00:04:27.320><c> just</c>

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do they do that with an amm so they just
 

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do they do that with an amm so they just
essentially<00:04:27.960><c> want</c><00:04:28.160><c> the</c><00:04:28.320><c> exposure</c><00:04:28.680><c> to</c><00:04:28.800><c> the</c>

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essentially want the exposure to the
 

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essentially want the exposure to the
trading<00:04:29.280><c> fees</c>

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trading fees
 

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trading fees
second<00:04:31.960><c> is</c><00:04:32.120><c> the</c><00:04:32.280><c> amount</c><00:04:32.639><c> extracted</c><00:04:33.120><c> by</c>

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second is the amount extracted by
 

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second is the amount extracted by
Arbitrage<00:04:33.880><c> so</c><00:04:34.000><c> if</c><00:04:34.080><c> you've</c><00:04:34.280><c> heard</c><00:04:34.680><c> lever</c>

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Arbitrage so if you've heard lever
 

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Arbitrage so if you've heard lever
thrown<00:04:35.360><c> around</c><00:04:35.560><c> or</c><00:04:35.720><c> we</c><00:04:35.800><c> can</c><00:04:35.960><c> think</c><00:04:36.080><c> of</c><00:04:36.280><c> these</c>

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thrown around or we can think of these
 

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thrown around or we can think of these
as<00:04:36.639><c> rebalancing</c><00:04:37.240><c> fees</c><00:04:37.600><c> that</c><00:04:37.759><c> you</c><00:04:37.880><c> have</c><00:04:37.960><c> to</c><00:04:38.080><c> pay</c>

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as rebalancing fees that you have to pay
 

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as rebalancing fees that you have to pay
to<00:04:38.360><c> Arbitrage</c><00:04:38.840><c> ORS</c><00:04:39.520><c> how</c><00:04:39.680><c> much</c><00:04:39.880><c> is</c><00:04:40.120><c> that</c><00:04:40.440><c> and</c>

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to Arbitrage ORS how much is that and
 

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to Arbitrage ORS how much is that and
like<00:04:40.759><c> essentially</c><00:04:41.199><c> how</c><00:04:41.320><c> much</c><00:04:41.520><c> leakage</c><00:04:42.080><c> is</c>

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like essentially how much leakage is
 

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like essentially how much leakage is
there<00:04:42.919><c> from</c><00:04:43.440><c> uh</c><00:04:43.600><c> my</c><00:04:43.800><c> portfolio</c><00:04:44.840><c> value</c><00:04:45.840><c> third</c>

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there from uh my portfolio value third
 

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there from uh my portfolio value third
is<00:04:46.360><c> just</c><00:04:46.680><c> how</c><00:04:46.880><c> useful</c><00:04:47.320><c> is</c><00:04:47.440><c> it</c><00:04:47.600><c> to</c><00:04:47.840><c> have</c><00:04:48.120><c> one</c><00:04:48.280><c> of</c>

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is just how useful is it to have one of
 

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is just how useful is it to have one of
these<00:04:48.720><c> custom</c><00:04:49.360><c> portfolio</c><00:04:49.960><c> value</c><00:04:50.240><c> functions</c>

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these custom portfolio value functions
 

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these custom portfolio value functions
like<00:04:50.960><c> what</c><00:04:51.080><c> are</c><00:04:51.280><c> essentially</c><00:04:51.759><c> derivatives</c>

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like what are essentially derivatives
 

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like what are essentially derivatives
that<00:04:52.440><c> I</c><00:04:52.560><c> might</c><00:04:52.720><c> want</c><00:04:52.840><c> to</c><00:04:53.080><c> have</c><00:04:53.560><c> is</c><00:04:53.759><c> the</c>

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that I might want to have is the
 

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that I might want to have is the
portfolio<00:04:54.440><c> value</c><00:04:54.840><c> actually</c><00:04:55.120><c> useful</c><00:04:55.600><c> or</c>

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portfolio value actually useful or
 

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portfolio value actually useful or
not<00:04:57.680><c> so</c><00:04:58.080><c> the</c><00:04:58.199><c> reason</c><00:04:58.520><c> that</c><00:04:58.639><c> I</c><00:04:58.759><c> think</c><00:04:59.039><c> that</c>

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not so the reason that I think that
 

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not so the reason that I think that
looking<00:04:59.800><c> at</c><00:04:59.919><c> this</c><00:05:00.039><c> is</c><00:05:00.199><c> exciting</c><00:05:00.680><c> is</c><00:05:00.840><c> there's</c>

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looking at this is exciting is there's
 

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looking at this is exciting is there's
over<00:05:01.680><c> 10</c><00:05:02.000><c> trillion</c><00:05:02.759><c> dollars</c><00:05:03.080><c> of</c><00:05:03.320><c> Assets</c><00:05:03.600><c> in</c>

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over 10 trillion dollars of Assets in
 

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over 10 trillion dollars of Assets in
ETFs<00:05:04.360><c> there's</c><00:05:04.520><c> a</c><00:05:04.680><c> lot</c><00:05:04.840><c> of</c><00:05:05.039><c> passive</c><00:05:05.360><c> liquidity</c>

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ETFs there's a lot of passive liquidity
 

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ETFs there's a lot of passive liquidity
out<00:05:06.080><c> there</c><00:05:06.400><c> clearly</c><00:05:06.759><c> people</c><00:05:06.960><c> are</c><00:05:07.120><c> doing</c><00:05:07.440><c> stuff</c>

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out there clearly people are doing stuff
 

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out there clearly people are doing stuff
in<00:05:08.520><c> kind</c><00:05:08.639><c> of</c><00:05:08.840><c> the</c><00:05:08.960><c> financial</c><00:05:09.479><c> world</c><00:05:09.960><c> with</c><00:05:10.160><c> this</c>

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in kind of the financial world with this
 

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in kind of the financial world with this
and<00:05:10.800><c> I</c><00:05:10.880><c> think</c><00:05:11.039><c> there's</c><00:05:11.280><c> a</c><00:05:11.400><c> lot</c><00:05:11.520><c> of</c><00:05:11.680><c> opportunity</c>

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and I think there's a lot of opportunity
 

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and I think there's a lot of opportunity
to<00:05:12.479><c> bring</c><00:05:13.120><c> this</c><00:05:13.320><c> liquidity</c><00:05:13.720><c> on</c><00:05:13.919><c> chain</c><00:05:14.800><c> so</c><00:05:15.039><c> if</c>

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to bring this liquidity on chain so if
 

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to bring this liquidity on chain so if
you're<00:05:15.280><c> interested</c><00:05:15.600><c> in</c><00:05:15.759><c> collaborating</c><00:05:16.240><c> on</c>

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you're interested in collaborating on
 

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you're interested in collaborating on
these<00:05:16.560><c> types</c><00:05:16.759><c> of</c><00:05:16.919><c> questions</c><00:05:17.360><c> on</c><00:05:17.479><c> the</c><00:05:17.600><c> research</c>

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these types of questions on the research
 

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these types of questions on the research
side<00:05:18.120><c> or</c><00:05:18.240><c> on</c><00:05:18.319><c> the</c><00:05:18.479><c> Practical</c><00:05:18.880><c> side</c><00:05:19.160><c> please</c>

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side or on the Practical side please
 

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side or on the Practical side please
reach<00:05:19.560><c> out</c><00:05:19.960><c> thank</c>

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you<00:05:25.000><c> thank</c><00:05:25.319><c> you</c><00:05:26.319><c> so</c><00:05:26.560><c> are</c><00:05:26.759><c> there</c><00:05:26.919><c> any</c><00:05:27.400><c> questions</c>

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no<00:05:32.199><c> questions</c><00:05:32.919><c> raise</c><00:05:33.120><c> your</c><00:05:33.280><c> hand</c><00:05:33.560><c> so</c><00:05:33.720><c> I</c>

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no questions raise your hand so I
 

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no questions raise your hand so I
can<00:05:35.639><c> send</c><00:05:35.919><c> you</c><00:05:36.120><c> the</c>

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mic

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mic
 

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mic
okay<00:05:41.560><c> okay</c><00:05:41.840><c> all</c>

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okay okay all
 

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okay okay all
clear<00:05:44.759><c> H</c><00:05:44.960><c> there's</c><00:05:45.120><c> a</c><00:05:45.280><c> question</c>

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clear H there's a question
 

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clear H there's a question
here

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here
 

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here
yep<00:05:48.919><c> uh</c><00:05:49.360><c> you</c><00:05:49.520><c> didn't</c><00:05:49.840><c> talk</c><00:05:50.400><c> uh</c><00:05:51.080><c> uh</c><00:05:51.199><c> you</c><00:05:51.360><c> didn't</c>

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yep uh you didn't talk uh uh you didn't
 

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yep uh you didn't talk uh uh you didn't
expand<00:05:52.440><c> in</c><00:05:52.680><c> detail</c><00:05:53.360><c> but</c><00:05:53.680><c> uh</c><00:05:54.479><c> um</c><00:05:54.800><c> can</c><00:05:54.960><c> you</c><00:05:55.319><c> uh</c><00:05:55.440><c> is</c>

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expand in detail but uh um can you uh is
 

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expand in detail but uh um can you uh is
there<00:05:56.600><c> um</c><00:05:57.000><c> a</c><00:05:57.479><c> brief</c><00:05:58.240><c> uh</c><00:05:58.479><c> introduction</c><00:05:59.120><c> about</c>

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there um a brief uh introduction about
 

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there um a brief uh introduction about
uh<00:06:00.039><c> what</c><00:06:00.160><c> are</c><00:06:00.880><c> typical</c><00:06:01.360><c> ways</c><00:06:01.720><c> of</c>

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uh what are typical ways of
 

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uh what are typical ways of
hedging<00:06:03.479><c> the</c><00:06:04.479><c> directional</c><00:06:05.039><c> move</c><00:06:06.039><c> it</c><00:06:06.240><c> it</c>

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hedging the directional move it it
 

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hedging the directional move it it
depends<00:06:06.800><c> on</c><00:06:07.039><c> the</c><00:06:07.440><c> actually</c><00:06:07.759><c> I</c><00:06:07.840><c> think</c><00:06:08.039><c> this</c><00:06:08.120><c> is</c>

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depends on the actually I think this is
 

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depends on the actually I think this is
kind<00:06:08.479><c> of</c><00:06:08.759><c> a</c><00:06:09.160><c> issue</c><00:06:09.440><c> in</c><00:06:09.560><c> a</c><00:06:09.680><c> lot</c><00:06:09.800><c> of</c><00:06:09.919><c> amms</c><00:06:10.639><c> because</c>

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kind of a issue in a lot of amms because
 

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kind of a issue in a lot of amms because
for<00:06:11.080><c> instance</c><00:06:11.960><c> if</c><00:06:12.039><c> you</c><00:06:12.199><c> wanted</c><00:06:12.520><c> to</c><00:06:13.160><c> uh</c><00:06:13.400><c> hedge</c>

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for instance if you wanted to uh hedge
 

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for instance if you wanted to uh hedge
like<00:06:14.000><c> say</c><00:06:14.280><c> a</c><00:06:14.800><c> like</c><00:06:15.360><c> a</c><00:06:15.479><c> constant</c><00:06:15.880><c> product</c>

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like say a like a constant product
 

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like say a like a constant product
position<00:06:17.120><c> you</c><00:06:17.319><c> have</c><00:06:17.520><c> that</c><00:06:17.759><c> square</c><00:06:18.160><c> root</c><00:06:18.919><c> uh</c>

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position you have that square root uh
 

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position you have that square root uh
function<00:06:19.479><c> that's</c><00:06:19.639><c> your</c><00:06:19.880><c> long</c><00:06:20.240><c> exposure</c><00:06:20.680><c> to</c>

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function that's your long exposure to
 

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function that's your long exposure to
the<00:06:21.039><c> asset</c><00:06:21.720><c> and</c><00:06:21.919><c> most</c><00:06:22.160><c> places</c><00:06:22.479><c> to</c><00:06:22.639><c> get</c><00:06:22.800><c> short</c>

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the asset and most places to get short
 

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the asset and most places to get short
exposure<00:06:23.599><c> are</c><00:06:23.759><c> giving</c><00:06:23.960><c> you</c><00:06:24.080><c> a</c><00:06:24.199><c> linear</c><00:06:24.560><c> short</c>

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exposure are giving you a linear short
 

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exposure are giving you a linear short
exposure<00:06:25.759><c> and</c><00:06:25.840><c> so</c><00:06:26.000><c> what</c><00:06:26.160><c> that</c><00:06:26.280><c> means</c><00:06:26.639><c> is</c><00:06:26.880><c> the</c>

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exposure and so what that means is the
 

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exposure and so what that means is the
amount<00:06:27.919><c> that</c><00:06:28.000><c> you</c><00:06:28.160><c> need</c><00:06:28.440><c> to</c><00:06:28.599><c> be</c><00:06:28.759><c> short</c><00:06:29.240><c> that</c>

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amount that you need to be short that
 

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amount that you need to be short that
asset<00:06:30.120><c> is</c><00:06:30.280><c> going</c><00:06:30.479><c> to</c><00:06:30.680><c> change</c><00:06:31.160><c> as</c><00:06:31.360><c> the</c><00:06:31.520><c> price</c>

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asset is going to change as the price
 

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asset is going to change as the price
changes<00:06:33.160><c> um</c><00:06:33.360><c> and</c><00:06:33.560><c> that</c><00:06:33.840><c> makes</c><00:06:34.080><c> it</c><00:06:34.360><c> very</c>

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changes um and that makes it very
 

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changes um and that makes it very
difficult<00:06:35.039><c> because</c><00:06:35.240><c> you</c><00:06:35.360><c> have</c><00:06:35.440><c> to</c><00:06:35.639><c> constantly</c>

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difficult because you have to constantly
 

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difficult because you have to constantly
be<00:06:36.360><c> managing</c><00:06:37.280><c> this</c><00:06:37.560><c> uh</c><00:06:37.960><c> the</c><00:06:38.120><c> short</c><00:06:38.520><c> position</c>

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be managing this uh the short position
 

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be managing this uh the short position
the<00:06:39.199><c> hedge</c><00:06:39.400><c> of</c><00:06:39.520><c> the</c><00:06:39.599><c> short</c><00:06:39.919><c> position</c><00:06:40.919><c> um</c><00:06:41.080><c> which</c>

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the hedge of the short position um which
 

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the hedge of the short position um which
means<00:06:41.520><c> that</c><00:06:41.639><c> it's</c><00:06:41.840><c> like</c><00:06:42.080><c> no</c><00:06:42.280><c> no</c><00:06:42.479><c> longer</c><00:06:43.240><c> uh</c>

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means that it's like no no longer uh
 

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means that it's like no no longer uh
passively<00:06:44.199><c> providing</c><00:06:44.560><c> liquidity</c><00:06:45.319><c> and</c>

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passively providing liquidity and
 

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passively providing liquidity and
there's<00:06:45.759><c> um</c><00:06:45.919><c> there's</c><00:06:46.039><c> a</c><00:06:46.160><c> number</c><00:06:46.319><c> of</c><00:06:46.440><c> blog</c>

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there's um there's a number of blog
 

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there's um there's a number of blog
posts<00:06:46.960><c> if</c><00:06:47.120><c> you</c><00:06:47.680><c> um</c><00:06:47.960><c> message</c><00:06:48.319><c> me</c><00:06:48.520><c> I</c><00:06:48.599><c> can</c><00:06:48.880><c> send</c>

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posts if you um message me I can send
 

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posts if you um message me I can send
you<00:06:49.319><c> from</c><00:06:49.599><c> kind</c><00:06:49.720><c> of</c><00:06:49.880><c> a</c><00:06:50.000><c> few</c><00:06:50.160><c> years</c><00:06:50.400><c> ago</c><00:06:50.680><c> that</c>

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you from kind of a few years ago that
 

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you from kind of a few years ago that
talk<00:06:51.080><c> about</c><00:06:51.360><c> this</c><00:06:51.919><c> but</c><00:06:52.120><c> in</c><00:06:52.639><c> terms</c><00:06:52.919><c> of</c><00:06:53.039><c> the</c>

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talk about this but in terms of the
 

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talk about this but in terms of the
question<00:06:53.440><c> of</c><00:06:53.680><c> like</c><00:06:54.000><c> how</c><00:06:54.120><c> do</c><00:06:54.280><c> I</c><00:06:54.400><c> design</c><00:06:54.639><c> a</c>

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question of like how do I design a
 

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question of like how do I design a
portfolio<00:06:55.319><c> value</c><00:06:55.639><c> that</c><00:06:55.759><c> is</c><00:06:55.879><c> easy</c><00:06:56.120><c> to</c><00:06:56.319><c> hedge</c><00:06:56.879><c> um</c>

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portfolio value that is easy to hedge um
 

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portfolio value that is easy to hedge um
I<00:06:58.199><c> I</c><00:06:58.360><c> I</c><00:06:58.440><c> think</c><00:06:58.639><c> this</c><00:06:58.759><c> is</c><00:06:58.879><c> a</c><00:06:59.080><c> pretty</c><00:06:59.639><c> interesting</c>

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I I I think this is a pretty interesting
 

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I I I think this is a pretty interesting
area<00:07:00.440><c> of</c><00:07:00.560><c> research</c><00:07:00.919><c> moving</c><00:07:01.240><c> forward</c>

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area of research moving forward
 

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area of research moving forward
especially<00:07:02.120><c> the</c><00:07:02.240><c> dynamic</c><00:07:02.720><c> case</c><00:07:02.919><c> where</c><00:07:03.080><c> the</c>

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especially the dynamic case where the
 

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especially the dynamic case where the
cfmm<00:07:04.080><c> or</c><00:07:04.280><c> the</c><00:07:04.400><c> aade</c><00:07:04.879><c> market</c><00:07:05.160><c> maker</c><00:07:05.479><c> might</c><00:07:05.599><c> be</c>

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cfmm or the aade market maker might be
 

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cfmm or the aade market maker might be
changing<00:07:06.199><c> over</c>

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time<00:07:12.360><c> there's</c><00:07:12.599><c> another</c><00:07:12.919><c> question</c><00:07:13.120><c> over</c><00:07:13.400><c> there</c>

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time there's another question over there
 

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time there's another question over there
in<00:07:14.199><c> the</c><00:07:14.680><c> center</c><00:07:15.680><c> how</c><00:07:15.800><c> do</c><00:07:15.879><c> you</c><00:07:16.840><c> how</c><00:07:16.960><c> do</c><00:07:17.080><c> you</c>

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in the center how do you how do you
 

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in the center how do you how do you
think<00:07:17.440><c> about</c><00:07:18.319><c> concentrated</c><00:07:19.000><c> liquidity</c>

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think about concentrated liquidity
 

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think about concentrated liquidity
provision<00:07:19.960><c> in</c><00:07:20.199><c> particularly</c><00:07:20.639><c> regards</c><00:07:20.919><c> to</c>

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provision in particularly regards to
 

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provision in particularly regards to
hedging<00:07:21.520><c> as</c><00:07:21.639><c> you</c><00:07:21.840><c> described</c><00:07:22.319><c> so</c><00:07:22.479><c> if</c><00:07:22.599><c> I'm</c><00:07:22.720><c> an</c><00:07:22.919><c> LP</c>

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hedging as you described so if I'm an LP
 

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hedging as you described so if I'm an LP
and<00:07:23.560><c> I</c><00:07:23.680><c> want</c><00:07:23.840><c> to</c><00:07:24.120><c> you</c><00:07:24.199><c> know</c><00:07:24.479><c> only</c><00:07:24.759><c> provide</c>

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and I want to you know only provide
 

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and I want to you know only provide
liquidity<00:07:25.560><c> within</c><00:07:25.840><c> certain</c><00:07:26.240><c> bands</c><00:07:27.039><c> you</c><00:07:27.120><c> know</c>

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liquidity within certain bands you know
 

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liquidity within certain bands you know
how<00:07:27.360><c> do</c><00:07:27.440><c> you</c><00:07:27.520><c> think</c><00:07:27.720><c> about</c><00:07:27.960><c> that</c><00:07:28.080><c> in</c><00:07:28.240><c> regards</c>

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how do you think about that in regards
 

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how do you think about that in regards
to<00:07:28.720><c> the</c><00:07:28.840><c> rest</c><00:07:28.960><c> of</c><00:07:29.080><c> the</c><00:07:29.160><c> formula</c>

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to the rest of the formula
 

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to the rest of the formula
um<00:07:30.720><c> those</c><00:07:31.080><c> also</c><00:07:31.720><c> actually</c><00:07:32.039><c> do</c><00:07:32.319><c> fit</c><00:07:32.560><c> in</c><00:07:32.800><c> kind</c><00:07:32.960><c> of</c>

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um those also actually do fit in kind of
 

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um those also actually do fit in kind of
the<00:07:34.160><c> standard</c><00:07:34.680><c> constant</c><00:07:35.000><c> function</c><00:07:35.319><c> Market</c>

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the standard constant function Market
 

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the standard constant function Market
maker<00:07:36.160><c> framework</c><00:07:36.800><c> even</c><00:07:36.960><c> the</c><00:07:37.120><c> constant</c>

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maker framework even the constant
 

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maker framework even the constant
liquidity<00:07:37.879><c> pools</c><00:07:38.599><c> um</c><00:07:39.240><c> there's</c><00:07:39.639><c> a</c><00:07:39.919><c> there's</c><00:07:40.120><c> a</c>

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liquidity pools um there's a there's a
 

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liquidity pools um there's a there's a
paper<00:07:40.639><c> that</c><00:07:40.759><c> I</c><00:07:40.840><c> wrote</c><00:07:41.080><c> with</c><00:07:41.160><c> a</c><00:07:41.240><c> number</c><00:07:41.440><c> of</c>

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paper that I wrote with a number of
 

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paper that I wrote with a number of
colleagues<00:07:42.039><c> called</c><00:07:42.240><c> the</c><00:07:42.360><c> geometry</c><00:07:42.840><c> of</c>

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colleagues called the geometry of
 

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colleagues called the geometry of
constant<00:07:43.280><c> function</c><00:07:43.599><c> market</c><00:07:43.879><c> makers</c><00:07:44.360><c> that</c>

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constant function market makers that
 

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constant function market makers that
shows<00:07:44.919><c> that</c><00:07:45.039><c> connection</c><00:07:45.840><c> um</c><00:07:46.319><c> essentially</c><00:07:46.840><c> the</c>

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shows that connection um essentially the
 

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shows that connection um essentially the
the<00:07:47.159><c> high</c><00:07:47.360><c> level</c><00:07:47.639><c> idea</c><00:07:48.080><c> is</c><00:07:49.039><c> one</c><00:07:49.280><c> way</c><00:07:49.400><c> to</c><00:07:49.599><c> think</c>

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the high level idea is one way to think
 

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the high level idea is one way to think
about<00:07:50.199><c> all</c><00:07:50.360><c> of</c><00:07:50.560><c> these</c><00:07:50.759><c> things</c><00:07:51.120><c> is</c><00:07:51.319><c> there's</c>

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about all of these things is there's
 

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about all of these things is there's
like<00:07:51.960><c> some</c><00:07:52.960><c> set</c><00:07:53.199><c> of</c><00:07:53.479><c> reserves</c><00:07:54.080><c> that's</c>

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like some set of reserves that's
 

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like some set of reserves that's
allowable<00:07:55.000><c> kind</c><00:07:55.120><c> of</c><00:07:55.280><c> that</c><00:07:55.440><c> first</c><00:07:55.639><c> slide</c><00:07:55.919><c> that</c>

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allowable kind of that first slide that
 

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allowable kind of that first slide that
I<00:07:56.240><c> had</c><00:07:56.919><c> and</c><00:07:57.120><c> that</c><00:07:57.280><c> set</c><00:07:57.599><c> has</c><00:07:58.039><c> particular</c>

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I had and that set has particular
 

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I had and that set has particular
properties<00:07:59.080><c> for</c><00:07:59.800><c> let's</c><00:08:00.000><c> say</c><00:08:00.319><c> like</c><00:08:00.759><c> the</c><00:08:00.919><c> things</c>

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properties for let's say like the things
 

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properties for let's say like the things
that<00:08:01.280><c> you</c><00:08:01.440><c> want</c><00:08:01.639><c> to</c><00:08:01.840><c> hold</c><00:08:02.240><c> so</c><00:08:02.479><c> even</c><00:08:03.039><c> say</c><00:08:03.280><c> a</c>

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that you want to hold so even say a
 

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that you want to hold so even say a
concentrated<00:08:04.039><c> liquidity</c><00:08:04.440><c> position</c><00:08:05.159><c> whether</c>

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concentrated liquidity position whether
 

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concentrated liquidity position whether
that's<00:08:05.720><c> like</c><00:08:05.960><c> the</c><00:08:06.400><c> Unis</c><00:08:06.759><c> swap</c><00:08:06.960><c> V3</c><00:08:07.759><c> hyperbolic</c>

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that's like the Unis swap V3 hyperbolic
 

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that's like the Unis swap V3 hyperbolic
type<00:08:08.800><c> concentrated</c><00:08:09.360><c> liquidity</c><00:08:10.080><c> or</c><00:08:10.199><c> if</c><00:08:10.319><c> it's</c><00:08:10.560><c> a</c>

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type concentrated liquidity or if it's a
 

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type concentrated liquidity or if it's a
linear<00:08:11.199><c> concentrated</c><00:08:11.720><c> liquidity</c><00:08:12.159><c> you</c><00:08:12.240><c> can</c>

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linear concentrated liquidity you can
 

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linear concentrated liquidity you can
even<00:08:12.639><c> in</c><00:08:12.759><c> some</c><00:08:12.960><c> ways</c><00:08:13.199><c> think</c><00:08:13.319><c> of</c><00:08:13.440><c> an</c><00:08:13.560><c> order</c><00:08:13.879><c> book</c>

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even in some ways think of an order book
 

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even in some ways think of an order book
as<00:08:14.759><c> linear</c><00:08:15.240><c> concentrated</c><00:08:15.879><c> liquidity</c>

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as linear concentrated liquidity
 

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as linear concentrated liquidity
positions<00:08:17.400><c> uh</c><00:08:17.560><c> because</c><00:08:17.800><c> for</c><00:08:18.000><c> whatever</c><00:08:18.319><c> you're</c>

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positions uh because for whatever you're
 

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positions uh because for whatever you're
selling<00:08:19.240><c> it's</c><00:08:19.479><c> just</c><00:08:19.639><c> kind</c><00:08:19.759><c> of</c><00:08:19.840><c> a</c><00:08:20.000><c> linear</c>

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selling it's just kind of a linear
 

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selling it's just kind of a linear
amount<00:08:21.400><c> um</c><00:08:21.520><c> so</c><00:08:21.720><c> this</c><00:08:21.840><c> all</c><00:08:22.000><c> falls</c><00:08:22.319><c> into</c><00:08:22.720><c> similar</c>

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amount um so this all falls into similar
 

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amount um so this all falls into similar
framework<00:08:23.639><c> and</c><00:08:23.840><c> actually</c><00:08:24.080><c> I</c><00:08:24.159><c> think</c><00:08:24.360><c> that's</c>

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framework and actually I think that's
 

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framework and actually I think that's
one<00:08:24.720><c> of</c><00:08:24.879><c> the</c><00:08:25.039><c> things</c><00:08:25.360><c> where</c><00:08:25.639><c> kind</c><00:08:25.759><c> of</c><00:08:26.240><c> the</c><00:08:26.360><c> more</c>

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one of the things where kind of the more
 

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one of the things where kind of the more
we<00:08:26.680><c> can</c><00:08:27.039><c> bring</c><00:08:27.319><c> this</c><00:08:27.479><c> all</c><00:08:27.680><c> into</c><00:08:28.000><c> a</c><00:08:28.159><c> common</c>

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we can bring this all into a common
 

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we can bring this all into a common
framework<00:08:28.919><c> we</c><00:08:29.000><c> can</c><00:08:29.120><c> start</c><00:08:29.520><c> to</c><00:08:29.720><c> use</c><00:08:30.440><c> more</c>

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framework we can start to use more
 

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framework we can start to use more
interesting<00:08:31.080><c> mathematics</c><00:08:31.720><c> and</c><00:08:31.879><c> then</c><00:08:32.120><c> really</c>

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interesting mathematics and then really
 

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interesting mathematics and then really
push<00:08:32.800><c> forward</c><00:08:33.680><c> um</c><00:08:34.000><c> our</c><00:08:34.200><c> ability</c><00:08:34.519><c> to</c><00:08:34.719><c> like</c>

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push forward um our ability to like
 

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push forward um our ability to like
understand<00:08:35.320><c> the</c><00:08:35.479><c> stuff</c><00:08:35.680><c> and</c><00:08:35.800><c> build</c><00:08:36.080><c> end</c>

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understand the stuff and build end
 

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understand the stuff and build end
products<00:08:37.919><c> happy</c><00:08:38.120><c> to</c><00:08:38.240><c> talk</c><00:08:38.440><c> more</c><00:08:38.640><c> offline</c>

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products happy to talk more offline
 

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products happy to talk more offline
thank<00:08:39.200><c> you</c><00:08:39.279><c> for</c><00:08:39.399><c> the</c>

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thank you for the
 

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thank you for the
question<00:08:41.440><c> there's</c><00:08:41.680><c> time</c><00:08:41.839><c> for</c><00:08:42.320><c> one</c><00:08:42.599><c> final</c>

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question there's time for one final
 

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question there's time for one final
question<00:08:44.839><c> over</c>

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here<00:08:52.360><c> what</c><00:08:52.560><c> do</c><00:08:52.640><c> you</c><00:08:52.760><c> think</c><00:08:52.880><c> is</c><00:08:53.120><c> like</c><00:08:53.320><c> the</c><00:08:53.560><c> the</c>

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here what do you think is like the the
 

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here what do you think is like the the
right<00:08:54.000><c> way</c><00:08:54.240><c> of</c><00:08:54.760><c> thinking</c><00:08:55.080><c> about</c><00:08:55.320><c> these</c>

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right way of thinking about these
 

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right way of thinking about these
portfolios<00:08:56.120><c> for</c><00:08:56.320><c> users</c><00:08:56.760><c> because</c><00:08:57.279><c> crypto</c><00:08:57.600><c> is</c>

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portfolios for users because crypto is
 

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portfolios for users because crypto is
quite<00:08:58.079><c> quite</c><00:08:58.200><c> a</c><00:08:58.320><c> unique</c><00:08:58.720><c> place</c><00:08:59.519><c> you</c><00:08:59.600><c> need</c><00:08:59.760><c> to</c>

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quite quite a unique place you need to
 

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quite quite a unique place you need to
put<00:09:00.120><c> like</c><00:09:00.360><c> these</c><00:09:00.560><c> two</c><00:09:00.760><c> tokens</c><00:09:01.320><c> in</c><00:09:01.600><c> in</c><00:09:02.079><c> the</c><00:09:02.279><c> AML</c>

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put like these two tokens in in the AML
 

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put like these two tokens in in the AML
and<00:09:03.480><c> traditional</c><00:09:03.880><c> Market</c><00:09:04.160><c> making</c><00:09:04.720><c> market</c>

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and traditional Market making market
 

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and traditional Market making market
makers<00:09:05.320><c> are</c><00:09:05.640><c> looking</c><00:09:05.959><c> for</c><00:09:06.399><c> optimizing</c><00:09:07.200><c> USD</c><00:09:08.200><c> do</c>

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makers are looking for optimizing USD do
 

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makers are looking for optimizing USD do
you<00:09:08.519><c> think</c><00:09:08.880><c> we</c><00:09:09.000><c> are</c><00:09:09.279><c> looking</c><00:09:09.600><c> at</c><00:09:09.920><c> maybe</c><00:09:10.200><c> the</c><00:09:10.399><c> WR</c>

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you think we are looking at maybe the WR
 

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you think we are looking at maybe the WR
metrics<00:09:11.680><c> when</c><00:09:11.839><c> we</c><00:09:11.959><c> are</c><00:09:12.839><c> measuring</c><00:09:13.360><c> this</c><00:09:13.519><c> kind</c>

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metrics when we are measuring this kind
 

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metrics when we are measuring this kind
of<00:09:14.160><c> performances</c><00:09:15.160><c> should</c><00:09:15.519><c> we</c><00:09:15.920><c> build</c>

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of performances should we build
 

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of performances should we build
portfolios<00:09:16.959><c> for</c><00:09:17.120><c> this</c><00:09:17.480><c> on</c><00:09:17.600><c> two</c><00:09:17.760><c> kind</c><00:09:17.920><c> of</c>

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portfolios for this on two kind of
 

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portfolios for this on two kind of
tokens<00:09:18.880><c> what's</c><00:09:19.079><c> your</c><00:09:19.279><c> take</c><00:09:19.519><c> on</c><00:09:19.680><c> on</c><00:09:19.880><c> that</c><00:09:20.560><c> um</c><00:09:20.760><c> so</c>

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tokens what's your take on on that um so
 

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tokens what's your take on on that um so
sorry<00:09:21.160><c> if</c><00:09:21.240><c> I</c><00:09:21.560><c> understand</c><00:09:21.680><c> the</c><00:09:21.800><c> question</c>

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sorry if I understand the question
 

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sorry if I understand the question
correctly<00:09:22.480><c> it's</c><00:09:22.720><c> like</c><00:09:23.120><c> what</c><00:09:23.680><c> types</c><00:09:23.920><c> of</c>

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correctly it's like what types of
 

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correctly it's like what types of
portfolios<00:09:24.680><c> should</c><00:09:24.880><c> we</c><00:09:25.040><c> be</c><00:09:25.560><c> what</c><00:09:25.760><c> what</c><00:09:25.880><c> kind</c>

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portfolios should we be what what kind
 

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portfolios should we be what what kind
of<00:09:26.120><c> products</c><00:09:26.480><c> are</c><00:09:26.600><c> we</c><00:09:26.720><c> trying</c><00:09:26.959><c> to</c><00:09:27.120><c> design</c><00:09:27.760><c> I</c><00:09:27.920><c> I</c>

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of products are we trying to design I I
 

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of products are we trying to design I I
think<00:09:28.160><c> that's</c><00:09:28.279><c> a</c><00:09:28.399><c> good</c><00:09:28.600><c> question</c><00:09:29.120><c> I</c><00:09:29.519><c> I</c><00:09:29.600><c> think</c>

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think that's a good question I I think
 

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think that's a good question I I think
right<00:09:30.000><c> now</c><00:09:30.279><c> there's</c><00:09:30.920><c> the</c><00:09:31.480><c> the</c><00:09:31.680><c> first</c><00:09:32.360><c> kind</c><00:09:32.519><c> of</c>

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right now there's the the first kind of
 

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right now there's the the first kind of
step<00:09:33.040><c> to</c><00:09:33.279><c> answering</c><00:09:33.720><c> that</c><00:09:33.920><c> question</c><00:09:34.240><c> is</c><00:09:34.360><c> to</c>

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step to answering that question is to
 

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step to answering that question is to
figure<00:09:34.839><c> out</c><00:09:35.440><c> you</c><00:09:35.600><c> know</c><00:09:36.120><c> what</c><00:09:36.519><c> might</c><00:09:36.720><c> we</c><00:09:36.920><c> care</c>

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figure out you know what might we care
 

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figure out you know what might we care
about<00:09:37.680><c> and</c><00:09:37.800><c> then</c><00:09:37.959><c> how</c><00:09:38.079><c> do</c><00:09:38.200><c> we</c><00:09:38.360><c> design</c><00:09:38.839><c> for</c>

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about and then how do we design for
 

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about and then how do we design for
those<00:09:39.519><c> types</c><00:09:39.839><c> of</c><00:09:40.399><c> uh</c><00:09:40.519><c> for</c><00:09:40.800><c> those</c><00:09:41.600><c> metrics</c><00:09:42.399><c> I</c><00:09:42.519><c> I</c>

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those types of uh for those metrics I I
 

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those types of uh for those metrics I I
think<00:09:42.720><c> there's</c><00:09:42.880><c> a</c><00:09:43.079><c> question</c><00:09:43.320><c> of</c><00:09:43.440><c> to</c><00:09:43.600><c> like</c><00:09:43.760><c> what</c>

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think there's a question of to like what
 

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think there's a question of to like what
the<00:09:44.000><c> metric</c><00:09:44.360><c> should</c><00:09:44.600><c> even</c><00:09:44.839><c> be</c><00:09:45.480><c> and</c><00:09:45.600><c> then</c><00:09:45.800><c> after</c>

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the metric should even be and then after
 

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the metric should even be and then after
that<00:09:46.279><c> we</c><00:09:46.360><c> can</c><00:09:46.560><c> kind</c><00:09:46.720><c> of</c><00:09:47.399><c> you</c><00:09:47.560><c> know</c><00:09:48.240><c> look</c><00:09:48.480><c> into</c>

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that we can kind of you know look into
 

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that we can kind of you know look into
what<00:09:49.600><c> actually</c><00:09:50.320><c> how</c><00:09:50.440><c> to</c><00:09:50.640><c> actually</c><00:09:50.880><c> construct</c>

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what actually how to actually construct
 

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what actually how to actually construct
those<00:09:51.600><c> portfolios</c><00:09:52.600><c> um</c><00:09:52.959><c> but</c><00:09:53.120><c> that</c><00:09:53.279><c> I</c><00:09:53.360><c> think</c><00:09:53.560><c> the</c>

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those portfolios um but that I think the
 

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those portfolios um but that I think the
exciting<00:09:54.040><c> part</c><00:09:54.200><c> is</c><00:09:54.320><c> the</c><00:09:54.440><c> design</c><00:09:54.720><c> space</c><00:09:54.959><c> is</c>

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exciting part is the design space is
 

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exciting part is the design space is
pretty<00:09:55.320><c> wide</c><00:09:55.519><c> open</c><00:09:55.839><c> right</c><00:09:56.000><c> now</c><00:09:56.519><c> and</c><00:09:56.720><c> of</c><00:09:56.839><c> course</c>

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pretty wide open right now and of course
 

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pretty wide open right now and of course
we<00:09:57.200><c> can</c><00:09:57.360><c> look</c><00:09:57.600><c> to</c><00:09:58.600><c> finances</c><00:09:59.079><c> along</c><00:09:59.519><c> history</c>

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we can look to finances along history
 

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we can look to finances along history
that<00:09:59.920><c> we</c><00:10:00.000><c> can</c><00:10:00.120><c> look</c><00:10:00.240><c> for</c><00:10:00.440><c> inspiration</c><00:10:00.959><c> to</c>

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that we can look for inspiration to
 

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that we can look for inspiration to
thank

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thank
 

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thank
you<00:10:03.920><c> well</c><00:10:04.079><c> thank</c><00:10:04.200><c> you</c><00:10:04.399><c> very</c><00:10:04.839><c> much</c><00:10:05.839><c> please</c><00:10:06.079><c> have</c>

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you well thank you very much please have
 

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you well thank you very much please have
a<00:10:06.399><c> nice</c><00:10:06.600><c> round</c><00:10:06.839><c> of</c><00:10:06.959><c> app</c><00:10:07.120><c> place</c><00:10:07.760><c> for</c><00:10:08.079><c> you</c>

