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Cryptoasset Valuationā€¦
for Ā desig*ers.
siliconvalleyethereummeetup
march8,2015
steve randy waldman
http://interfluidity.com/
@interfluidity
šŸ˜‹
Introduction
ā€¢ Cryptoassets, like ļ¬nancial assets before them, constitute a
social and institutional design space.
ā€¢ They have meaningful existence solely in the context of
games we construct, populated by communities of
interacting players.
ā€¢ Typically, cryptoassets are intended to be exchangeable
for other ļ¬nancial and cryptographic assets, which implies
they have ā€œvalueā€ in ļ¬nancial terms.
ā€¢ The purpose of this talk is to help you think about how to
design assets whose values, which are likely to change over
time, offer the valuations and exposures you desire.
ā€¢ Valuability should be a design goal.
Sculpting an asset
Source: http://cultura.biograļ¬eonline.it/david-di-michelangelo/
Sculpting an asset
ā€¢ A sculpture begins as a block of stone, a ļ¬‚exible medium
from which many things, but not anything, can be
constructed. It has its characteristics and affordances.
ā€¢ Our stone will be game-theoretic, a continuous space of
prices at which our players can agree to transact. Every
price and many sequences of prices over time form
potential Nash equilibria for a community of players who
will buy and sell our assets for reasons that are application
dependent. At what prices will they transact? How stable
will those equilibria be?
Sculpting an asset
ā€¢ Our coarsest chisels will be redemption and issuance,
which put a ļ¬‚oor beneath and a ceiling above price
respectively.
ā€¢ An artistā€™s goal is not to give form to stone, but to affect the
soul of the human who gazes upon the stone. The form is
only a means to an end.
ā€¢ An asset designerā€™s goal is not to constrain price, but to
affect the behavior of the communities who trade our asset
in ways that enable and incentivize activities and
collaborations we consider desirable. Constraining the
price is just a means to an end.
Constraining prices
$0
āˆž
$0
āˆž
unconstrainedpricespace*
constrainedpricespace option to redeem for $10
option to force issuance for $50
unpredictable price within this range
Constraining prices
āˆž
reallyunconstrainedpricespace
-āˆž
Did you notice the * in the previous slide? The so-
called ā€œunconstrained priceā€ was in fact constrained
by a presumed ability to dispose, i.e. to redeem at
$0 with no further liability.
Many ļ¬nancial instruments can have negative values.
You literally have to pay to get rid of them. If this
sounds exotic, check your credit card statement!
With systems like ethereum, cryptographic tokens can
represent liabilities as well as assets against some
escrowed collateral. Negative redemption values
can be meaningful!
Example: gold-tracking ETF
$0
āˆž
option to force issuance for current
price of an oz of gold, plus small
transaction cost
option to redeem for current price
of an oz of gold, less small
transaction cost
token price pegged within a very
narrow band surrounding the price
of gold.
(This is close to how ETFs like GLD actually work, but thereā€™s a wrinkle. In
order to ensure that redemption requests can always be met, the
redemption price must drift downward over time to cover the cost of
storing gold, which can be sold when redemptions are demanded. The
issue price follows the redemption price down. The ETF perfectly tracks
the return of holding gold less storage and administration fees. But the
price diverges from itā€™s original 0.1 oz ļ¬x. The price of a cryptoasset
without storage or administration fees can be tracked perfectly.)
Game theory and behavior
ā€¢ Remember, our ultimate goal is not to shape a price, but to
condition the behavior of the community that trades our
assets.
ā€¢ Tools as trivial as a redemption price can profoundly shape
the behavior of institutions and communities. Weā€™ll need to
do some game theory to understand how.
ā€¢ Letā€™s review.
What is a Nash Equilibrium?
ā€¢ A Nash equilibrium refers to a circumstance in which
every agent is pursing her best strategy given the
strategies other agents are pursuing.
ā€¢ Equivalently, under a Nash equilibrium, no single agent
can improve her outcome with a unilateral change of
strategy. Any improvements would require trusted or
enforced coordination.
ā€¢ A stable Nash Equilibrium is like a kind of social habit.
prisonersā€™
dilemma
(of course)
Example: Prisonersā€™ Dilemma
Alice  Bob
Keep
Quiet
Confess
Keep
Quiet
Alice -1 / Bob -1 Alice -4 / Bob 0
Confess Alice 0 / Bob -4 Alice -3 / Bob -3
Example: Prisonersā€™ Dilemma
Alice  Bob
Keep
Quiet
Confess
Keep
Quiet
Alice -1 / Bob -1 Alice -4 / Bob 0
Confess Alice 0 / Bob -4 Alice -3 / Bob -3
Example: Prisonersā€™ Dilemma
Alice  Bob
Keep
Quiet
Confess
Keep
Quiet
Alice -1 / Bob -1 Alice -4 / Bob 0
Confess Alice 0 / Bob -4 Alice -3 / Bob -3
Example: Prisonersā€™ Dilemma
Alice  Bob
Keep
Quiet
Confess
Keep
Quiet
Alice -1 / Bob -1 Alice -4 / Bob 0
Confess Alice 0 / Bob -4 Alice -3 / Bob -3
stag hunt
Example: Stag Hunt
Alice  Bob Hunt Chill
Hunt Alice 3 / Bob 3 Alice -2 / Bob 0
Chill Alice 0 / Bob -2 Alice 0 / Bob 0
Example: Stag Hunt
Alice  Bob Hunt Chill
Hunt Alice 3 / Bob 3 Alice -2 / Bob 0
Chill Alice 0 / Bob -2 Alice 0 / Bob 0
Example: Stag Hunt
Alice  Bob Hunt Chill
Hunt Alice 3 / Bob 3 Alice -2 / Bob 0
Chill Alice 0 / Bob -2 Alice 0 / Bob 0
Example: Stag Hunt
Alice  Bob Hunt Chill
Hunt Alice 3 / Bob 3 Alice -2 / Bob 0
Chill Alice 0 / Bob -2 Alice 0 / Bob 0
Example: Stabilizing a fractional reserve bank
ā€¢ Clients prefer to hold deposits in a bank rather
than cash is a shoebox, because of payment
convenience and reduced security costs / risks. A
dollar in the bank is worth $1 in payment use-
value and an additional .2Ā¢ in added convenience.
ā€¢ Unfortunately, the bank is ā€œfractional reserveā€
meaning if both Alice and Bob simultaneously try
to withdraw cash, the bank will have to sell assets
in a ā€œļ¬re saleā€ and will only be able to pay $0.50
on each dollar deposited.
ā€¢ This sets up a ā€œstag huntā€ game.
Example: Stabilizing a fractional reserve bank
ā€¢ An unguaranteed bank
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1
Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1
Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5
Example: Stabilizing a fractional reserve bank
ā€¢ An unguaranteed bank
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1
Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5
Example: Stabilizing a fractional reserve bank
ā€¢ An unguaranteed bank
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1
Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5
Example: Stabilizing a fractional reserve bank
ā€¢ An unguaranteed bank
Example: Stabilizing a fractional reserve bank
ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1
Run Alice 1 / Bob 1.02 Alice 1 / Bob 1
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1
Run Alice 1 / Bob 1.02 Alice 1 / Bob 1
Example: Stabilizing a fractional reserve bank
ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1
Run Alice 1 / Bob 1.02 Alice 1 / Bob 1
Example: Stabilizing a fractional reserve bank
ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
Alice  Bob Hold in Bank Run
Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1
Run Alice 1 / Bob 1.02 Alice 1 / Bob 1
Example: Stabilizing a fractional reserve bank
ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
Example: Stabilizing a fractional reserve bank
ā€¢ Note that in this example, the redemption guarantee
profoundly alters the institutional outcomes even though no
player ever makes use of it!
ā€¢ So a sufļ¬ciently credible bluff would do the same thing.
There is a reason why banks were built of thick, solid marble
and opulently appointed prior to the guarantees now offered
by the Fed and the FDIC.
ā€¢ In real life, we are interested in many player games, not two
player arrangements between Alice and Bob.
ā€¢ With discontinuous equilibria (like our original case),
idiosyncratic, random behavior is unlikely to cause a shift.
Phase changes happen when something coordinates and
biases participant behavior. If we want stability, we must
design to discourage correlated shifts. Bluff well.
$0
āˆž
option to force issuance for $1 USD,
perhaps plus small fees
option to redeem for redeem for $1 USD.
Pincer of issuance and redemption
pegs the price of a bank deposit to
$1
For much of US history, each ā€œdollarā€ deposit or note from private banks
traded at prices less than a dollar of US currency. ā€œParityā€, in the lingo, of
bank deposits and currency, was a big deal, and is much of the purpose
of the modern, Federal Reserve centered banking system. Bank deposits
are literally pegged to US dollars, just like an ETF might peg gold. Rather
than bearing storage costs to insure redeemability (which would force a
negative downward drift like with GLD), banks invest for positive return
and let the regulatory state guarantee redemption.
Example: Stabilizing a fractional reserve bank
ā€¢ Look familiar?
Beyond peggingā€¦
$0
āˆž
$0
āˆž
šŸ˜•
šŸ’­
Pegging is easy.ā€Ø
I want to know whatā€Ø
happens here.
unpredictablepricewithinthisrange
Fantastic Planet (aka repeated games)
Source: Film ā€” Fantastic Planet (1973), GIF ā€” http://giphy.com/gifs/animation-ļ¬lm-dancing-XCYQ725hhVvJS
Fantastic Planet (aka repeated games)
ā€¢ Buying and selling your asset represents a repeated game,
for which there are a potentially infinite array of Nash
Equilibria that your transactors might hit upon, for a while.
ā€¢ A Nash Equilibrium can be coordinated around any price.
ā€¢ The price space is effectively continuous, which means
equilibria are likely to drift and be unstable.
ā€¢ More complicated equilibria, including conventions like
ā€œgreater foolā€ may arise.
ā€” Greater fool gets a bum rap, but it is not always an unreasonable game!
Example: Repeated Prisonersā€™ Dilemma
ā€¢ Simplifying assumptions:
ā€” Discount rate of 0% (we value the future like the present)
ā€” Credible self-commitment (but no trust required of others)
ā€¢ Our players adopt a ā€œgrim triggerā€ strategy
ā€” They agree upon a plan in advance
ā€” If either player ever deviates, forever after the betrayed
party foregoes its own welfare to make the betrayerā€™s life
as miserable as possible.
ā€” This is referred to as a ā€œminimax strategyā€, the betrayed
minimizes the maximum achievable welfare of the
betrayer.
ā€” This is an existence proof, not a claim that ā€œgrim triggerā€ is
a likely strategy
Example: Repeated Prisonersā€™ Dilemma
Alice  Bob
Keep
Quiet
Confess
Keep
Quiet
Alice -1 / Bob -1 Alice -4 / Bob 0
Confess Alice 0 / Bob -4 Alice -3 / Bob -3
Example: Repeated Prisonersā€™ Dilemma
Alice  Bob
Keep
Quiet
Confess
Keep
Quiet
Alice -1 / Bob -1 Alice -4 / Bob 0
Confess Alice 0 / Bob -4 Alice -3 / Bob -3
Repeated Prisonersā€™ Dilemma
ā€¢ All four boxes can contribute to Nash Equilibria:
ā€” The players can agree never to confess (the optimal outcome)
ā€” The players can agree to oscillate w.r.t. who confesses
ā€” The players can not agree at all, or agree then deviate, in which
case they then always confess
ā€¢ Lessons:
ā€” Repeated games can make almost any ā€œconventionā€ a Nash
Equilibrium, if the breakdown of the convention will (by its nature
or via credible commitment of other players) leave the deviator
much worse off in future rounds.
ā€” Nothing guarantees the ā€œbestā€ Nash Equilibrium will become
conventional!
Biasing chaos:
Fine-grained sculpting of the valuation space
ā€¢ ā€œFundamental valueā€ as fuzzy redeemability
1. Suppose our token cannot be redeemed at will, but it confers
some sort of beneļ¬t on its holder
2. Potential beneļ¬ts include
ā€” use value
ā€” claims to future ļ¬‚ows of cash or value
ā€” claims to assets following some triggering event
ā€” capacity to extinguish debts, fees, or taxes
ā€” control rights
ā€” liquidity beneļ¬ts
3. If these beneļ¬ts could be converted to ā€œcashā€ at will (where cash
is whatever currency or numeraire we are measuring value in), we
would have simple redemption.
Biasing chaos:
Fine-grained sculpting of the valuation space
ā€¢ ā€œFundamental valueā€ as fuzzy redeemability
4. Typically they cannot be, but they put a kind of fuzzy ļ¬‚oor on
token values, because no one would sell a token for a price less
than the value they put on the nonmarketable bundle of beneļ¬ts
that accompany it.
5. This introduces a ā€œmeta-valuationā€ problem, as to understand
the level of the ļ¬‚oor, we have to put a value on the bundled
sources of value.
6. But since these bundles are not directly marketable, there will be
no one, unique valuation. Different people will value them
differently, and individuals will have a probabilistic rather than
point-estimate understanding of fundamental value.
Note: A simple redemption option is just an unusually sharp special
case of fundamental value!
āˆž
-āˆž
Biasing chaos:
Fine-grained sculpting of the valuation space
option to redeem for $10 becomes a ā€œfuzzy ļ¬‚oorā€
unpredictableprice
$0
āˆž
-āˆž
$0
Fundamental value puts a
ā€œfuzzyā€ ļ¬‚oor beneath asset
value, imposes a bias, in the
form of a probability
distribution, on an otherwise
chaotic valuation space.
The greater the fundamental
value, the higher the
expected ļ¬‚oor.
Sources of fundamental value
ā€¢ Use Value ā€” Perhaps tokens can be ā€œredeemedā€ not for money, but for
goods and services offered by the issuing application or entity.
ā€¢ Claims to Future Flows of Cash or Value ā€” Perhaps tokens pay interest
over time, or dividends that depend upon the success of an application or
entity. Payments might be in some other cryptoasset, in traditional ļ¬at, or in
ā€œuseā€, goods and services offered by the issuing application or entity.
ā€¢ Claims to Assets Following Some Triggering Event ā€” Perhaps after an
activity ļ¬nanced by the cryptoasset has completed, the product of the
activity gets distributed pro rata to tokenholders. Perhaps in the event of a
dissolution or disbanding of an application, unencumbered assets formerly
controlled by the application will be distributed to tokenholders.
Sources of fundamental value
ā€¢ Control Rights ā€” Perhaps tokens confer a right to vote or participate in
control of some application or entity whose behavior is consequencial to
potential holders of the asset.
ā€¢ Liquidity beneļ¬ts ā€” Perhaps the asset itself is useful as collateral or in
trade, and so reduces costs of borrowing and exchange to its holders.
ā€¢ Capacity to Extinguish Debts, Fees, or Taxes ā€” Perhaps by virtue of use of
or participation within an application, users incur fee or tax liabilities.
Perhaps to exploit Use Value, participants lend and borrow to one another.
Perhaps the application imposes consequences that are unpleasant
(inability to use, loss of data, exile from the community, meatspace legal
enforcement).
The existence of debtors and unpleasant consequences of nonpayment
creates exchange value, since debtors may offer other assets, goods, or
services in exchange for the tokens they need to evade the unpleasantness.
Conventional modeling of fundamental value
ā€¢ Financial assets are generally valued by estimating the cash ļ¬‚ows they are
expected to produce over time, and summing them, with future cash ļ¬‚ows
summed at a discount that accounts for time and risk.
ļæ½ =
ļæ½=ļæ½
āˆž
ļæ½ļæ½ļæ½
(ļæ½ + ļæ½)ļæ½
ļæ½ =
ļæ½ļæ½
ļæ½
ļæ½ļæ½ļæ½ļæ½ļæ½ļæ½ļæ½ļæ½ =
ļæ½ļæ½ļæ½
ļæ½ - ļæ½
Conventional modeling of fundamental value
ā€¢ To the degree that the value provided can be expressed in your valuation
numeraire (the currency you want to express your value in), discounted cash
ļ¬‚ow techniques can be applied to estimating use value, claims to future
cash ļ¬‚ows or value, and claims to assets following triggering events.
ā€¢ Conceptually, the cryptoequity of a decentralized autonomous
corporation is just equity. Nothing sexy or new needs to be invented to
value it.
ā€¢ But the techniques that are unsexy and old are imprecise. They leave lots of
room for analysts or assetholders to disagree, except for instruments like
safe bonds with very predictable cash ļ¬‚ows.
ā€¢ And cryptoassets carry with them some new institutional detail.
Conventional modeling of fundamental value
Cryptoasset valuation will be unusually challenging for the forseeable future:
1. ā€œCash flowsā€ will often take the form of goods and services or other cryptoassets,
which themselves will need to be valued.
2. Most traditional financial assets can be modeled as pure cash-flow sources. The
control rights embedded in a share of stock and other institutional details affect
the pricing for acquirers and purchasers of large blocks, but are negligible day to
day. Many cryptoassets will (hopefully!) entangle assetholding with deep
participation in organizations and communities. These aspects of the asset will be
hard to value.
3. For institutional and regulatory reasons, it is very difficult to use most traditional
financial assets directly for transfers and payments. Cryptoassets can be easily
used this way. Liquidity premia are difficult to value. They rely on sometimes
faddish and unstable coordination equilibria.This will complicate valuation.
4. Cryptoasset values may be affected by parties trying to settle liabilities which must
be settled with the asset rather than ā€œcash settledā€. Experience with ā€œphysically
settledā€ credit default swaps and theories of tax- or debt-driven money suggest
this may meaningfully support prices, and contribute to volatility if settlement
dates are correlated.There has been very little modeling of these phenomena.
Biasing chaos:
Discretionary or (stochastic) algorithmic issuance
ā€¢ Good assets issue when their value grows too high! The
sky should not be the limit. If game-theoretic chaos and
greater-fool games make an asset too valuable, the asset
should issue.
ā€” Bubbles and ā€œgreater-foolā€ phenomena can be understood as
indeļ¬nite-term repeated-game Nash equilibria. Once they arise,
it can be perfectly reasonable to participate. They last indeļ¬nitely
but not inļ¬nitely. They always end, with winners and losers. When
they do, their collapse usually harms the ecosystem or
application in which they arose.
Issuance in the face of overvaluation need not mean
ā€œinļ¬‚ationā€ or ā€œdebasing the assetā€. On the contrary, smart
issuance can be value-maximizing for incumbent assetholders.
āˆž
-āˆž
Biasing chaos:
Discretionary or (stochastic) algorithmic issuance
option to redeem becomes a ā€œfuzzy ļ¬‚oorā€
unpredictableprice
$0
āˆž
-āˆž
$0
option to force issuance becomes a ā€œfuzzy ceilingā€
The combination of fundamental
value and smart issuance puts
ā€œfuzzyā€, stochastic bounds on your
cryptoassetā€™s value, enhancing
valuability, limiting chaotic
unstable games.
Smart issuance: To whom, for what?
ā€¢ An issuance policy is desirable to constrain endogenous volatility of the
asset price.
ā€¢ Probability of issuance should be a function of price!
ā€¢ But issuing claims for nothing to particular parties amounts to extraction of
value from the remaining community of assetholders.
ā€¢ Issuance should either pay for goods that beneļ¬t all holders, or
intentionally punish particular holders.
ā€¢ If the application or decentralized entity that issues the tokens holds
assets or requires services, newly issued tokens should be sold to
purchase assets and services whenever doing so is likely to increase the
fundamental value of the tokens.
ā€¢ If an application requires ongoing participation and maintenance by the
community it comprises, issuance to ā€œactiveā€ community members for free
is a means of punishing those deemed to have undercontributed.
ā€” Be sure you mean to punish the people that you punish! They will
probably leave if they can!
-āˆž
āˆž
-āˆž
$0
Smart issuance: To whom, for what?
āˆž
$0
Issuance to purchase an asset worth more thanā€Ø
(existing_fundamental_value / tokens_outstanding)ā€Ø
increases the expected value of old tokens
old expected value
new expected value
An old trick: Think in balance sheets!
ā€¢ Every cryptoasset can be understood as a liability or equity
claim against a decentralized organization.
ā€¢ The right-hand side of a cryptoasset balance sheet is very
easy to construct!
ā€¢ The left-hand side is very difļ¬cult to construct, because the
sources and quantities of fundamental value must be
characterized, and those can usually only be estimated.
ā€” ā€œAssetsā€ of a DAO may be intangible and have no cost basis
ā€¢ Nevertheless, the exercise helps us to frame questions of
valuation and decisions about issuance.
Case study: Bitcoin
ā€¢ BTC has a market cap of $3.8B, with each token currently trading at
$233.88. What supports that value?
ā€” BTC is not redeemable, it has no hard ļ¬‚oor. It offers no option to force issuance, so no ceiling.
ā€” BTC holders enjoy liquidity services, transacting ~$4M per dayā€Ø
with counterparties outside the network = $1.46B per year
ā€” Ignoring electricity costs, using Western-Union-ish order of magnitudeā€Ø
market value (10%) of annual liquidity services ļ¬‚ow: $146M
ā€” At an 8% discount rate, no growth, fundamental value is $1.83B
ā€” At the same 8% hurdle rate with an annual growth rate of 4.2%ā€Ø
the valuation would be justiļ¬ed
ā€” BTC issues currently at a rate of roughly 10% p.a., paying for nonimprovingā€Ø
maintenance to a small subset of its holders. For nonminers, ~14% ļ¬‚owā€Ø
growth would be required to justify price @ 8%. No recent history of thatā€Ø
kind of growth
ā€” An issuance algorithm that sold new BTC for assets attributable to all BTC holdersā€Ø
would likely enhance value at current BTC prices.
Balance Sheet
Assets Liabilities + Equity
Quantity Value
Network for
liquidity provision
$1,830,000,000 BTC Outstanding 13,900,000 $273.88 $3,806,932,000
Overvaluation -$142.23 -$1,976,932,000
Total Assets $1,830,000,000 Liabilities + Equity $131.65 $1,830,000,000
THIS IS AN EXERCISE.ā€Ø
IT INCLUDES SIMPLIFICATIONS AND
WILDLY QUESTIONABLE
ASSUMPTIONS.ā€Ø
DATA WAS CULLED FROM
QUESTIONABLE SOURCES. IT IS
UNLIKELY TO BE ACCURATE. IT IS
JUST AN EXERCISE!
Case study: Bitcoin
ā€¢ BTC has a market cap of $3.8B, with each token currently trading at
$233.88. What supports that value?
ā€” BTC is not redeemable, it has no hard ļ¬‚oor. It offers no option to force issuance, so no ceiling.
ā€” BTC holders enjoy liquidity services, transacting ~$4M per dayā€Ø
with counterparties outside the network = $1.46B per year
ā€” It is very hard to value an asset whose only ā€œfundamental valueā€ sourceā€Ø
is potentially unstable liquidity provision.
ā€” Ignoring electricity costs, using Western-Union-ish order of magnitudeā€Ø
market value (10%) of annual liquidity services ļ¬‚ow: $146M
ā€” Presuming stabilty, at an 8% discount rate, no growth, fundamental value is $1.83B
ā€” At the same 8% hurdle rate with an annual growth rate of 4.2%ā€Ø
the valuation would be justiļ¬ed
ā€” BTC issues currently at a rate of roughly 10% p.a., paying for nonimprovingā€Ø
maintenance to a small subset of its holders. For nonminers, ~14% ļ¬‚ow growthā€Ø
would be required to justify price @ 8%. No recent history of that kind of growth
ā€” An issuance algorithm that sold new BTC for assets attributable to all BTC holdersā€Ø
would likely enhance value at current BTC prices.
Balance Sheet
Assets Liabilities + Equity
Quantity Value
Network for
liquidity provision
$1,830,000,000 BTC Outstanding 13,900,000 $273.88 $3,806,932,000
Overvaluation -$142.23 -$1,976,932,000
Total Assets $1,830,000,000 Liabilities + Equity $131.65 $1,830,000,000
Case study: Ethereum
ā€¢ ETH has a (time of sale) market cap of $18M, with each token valued at $0.31.
What supports that value?
ā€” ETH is not redeemable for tradable assets, it has no hard ļ¬‚oor.
ā€” ETH offers no option to force issuance, so no ceiling.
ā€” ETH will provide use value, it will be exchangeable for trusted computation services.
ā€” ETH can potentially be used as a token for exchange or as collateral,ā€Ø
so it may offer liquidity provision services.
ā€” There is presently insufļ¬cient information to make any kind of estimate of theā€Ø
value of these services.
ā€” ETH will not pay interest or dividends, will not payout to holders on liquidation or other trigger
events, is not likely to create or engender in-kind, costly-to-default liabilities, and confers no
meaningful control rights on holders. Use value and liquidity provision are the sole sources of value.
ā€” ETH has no price-sensitive issuance model. It may suffer bubbles and crashes. The application will
not be able to capitalize on overvaluation on behalf of incumbent token holders.
Balance Sheet
Assets Liabilities + Equity
Quantity Value
Network for trusted
computation services
??? ETH Outstanding 60,102,216 $0.31 $18,439,000
Network for liquidity
provision
???
Total Assets ??? Liabilities + Equity $0.31 $18,439,000
Conclusion
ā€¢ BTC and ETH are not, in fact, very interesting assets to value.
Much more interesting will be the tokens people build on
top of platforms like Ethereum, tokens whose economic
valuation must create incentives that coordinate the
behavior of decentralized applications and organizations.
ā€¢ Cryptoasset valuation is not an analytic topic, but matter
of design. We must design assets which, in the context of
the games our participants will play, will take on valuations
consistent with the kinds of collaborations we hope our
applications will inspire.
Conclusion
ā€¢ Without constraint, tokens are susceptible to random drift
between transiently conventional prices and ā€œgreater foolā€
games that lead to bubbles and crashes. These kinds of
assets are ultimately ā€œinvaluableā€, in the sense that their
valuation is path dependent, potentially chaotic, and
resistant to prediction or analysis.
ā€¢ We can ā€œsculptā€ the valuation space by imposing constraints
on valuation.
ā€¢ Simple, hard constraints include offering options to
purchasers to force new asset issuance at some (potentially
variable) price, which imposes a hard price ceiling, and
providing a standing offer to redeem assets at a price, which
imposes a hard price ļ¬‚oor.
Conclusion
ā€¢ A ā€œsoftā€ price ļ¬‚oor can be imposed by endowing assets with
ā€œfundamental valueā€ which serves as a kind of fuzzy
redeemability. Sources of fundamental value include
ā€” use value
ā€” claims to future ļ¬‚ows of cash or value
ā€” claims to assets following some triggering event
ā€” capacity to extinguish debts, fees, or taxes
ā€” control rights
ā€” liquidity beneļ¬ts We can ā€œsculptā€ the valuation space by
imposing constraints on valuation
ā€” redeemability itself
ā€¢ A soft price ceiling can be imposed by adopting policies,
algorithmic or discretionary, that provoke issuance of new
assets as prices rise too far into the chaotic space far above
reasonable estimates of fundamental value.
Conclusion
ā€¢ Issuance of new assets, if done smartly, need not imply
ā€œinļ¬‚ationā€ or ā€œdebasementā€, even from the perspective of
existing holders of the asset.
ā€¢ Every cryptoasset implicitly deļ¬nes a decentralized
organization that can be characterized by balance sheets.
The ease and certainty with which a balance sheet can be
written provides clues as to how ā€œvaluableā€ ā€” able to be
coherently valued ā€” a token is.
ā€¢ Balance sheets whose asset side value estimates are
stubbornly below the market cap of outstanding tokens
indicate overvaluation, and suggests that issuing new tokens
at market prices to purchase assets or services for the
organization will be supportive of value for existing token
holders.

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Cryptoasset Valuation for Designers

  • 1. Cryptoasset Valuationā€¦ for Ā desig*ers. siliconvalleyethereummeetup march8,2015 steve randy waldman http://interfluidity.com/ @interfluidity šŸ˜‹
  • 2. Introduction ā€¢ Cryptoassets, like ļ¬nancial assets before them, constitute a social and institutional design space. ā€¢ They have meaningful existence solely in the context of games we construct, populated by communities of interacting players. ā€¢ Typically, cryptoassets are intended to be exchangeable for other ļ¬nancial and cryptographic assets, which implies they have ā€œvalueā€ in ļ¬nancial terms. ā€¢ The purpose of this talk is to help you think about how to design assets whose values, which are likely to change over time, offer the valuations and exposures you desire. ā€¢ Valuability should be a design goal.
  • 3. Sculpting an asset Source: http://cultura.biograļ¬eonline.it/david-di-michelangelo/
  • 4. Sculpting an asset ā€¢ A sculpture begins as a block of stone, a ļ¬‚exible medium from which many things, but not anything, can be constructed. It has its characteristics and affordances. ā€¢ Our stone will be game-theoretic, a continuous space of prices at which our players can agree to transact. Every price and many sequences of prices over time form potential Nash equilibria for a community of players who will buy and sell our assets for reasons that are application dependent. At what prices will they transact? How stable will those equilibria be?
  • 5. Sculpting an asset ā€¢ Our coarsest chisels will be redemption and issuance, which put a ļ¬‚oor beneath and a ceiling above price respectively. ā€¢ An artistā€™s goal is not to give form to stone, but to affect the soul of the human who gazes upon the stone. The form is only a means to an end. ā€¢ An asset designerā€™s goal is not to constrain price, but to affect the behavior of the communities who trade our asset in ways that enable and incentivize activities and collaborations we consider desirable. Constraining the price is just a means to an end.
  • 6. Constraining prices $0 āˆž $0 āˆž unconstrainedpricespace* constrainedpricespace option to redeem for $10 option to force issuance for $50 unpredictable price within this range
  • 7. Constraining prices āˆž reallyunconstrainedpricespace -āˆž Did you notice the * in the previous slide? The so- called ā€œunconstrained priceā€ was in fact constrained by a presumed ability to dispose, i.e. to redeem at $0 with no further liability. Many ļ¬nancial instruments can have negative values. You literally have to pay to get rid of them. If this sounds exotic, check your credit card statement! With systems like ethereum, cryptographic tokens can represent liabilities as well as assets against some escrowed collateral. Negative redemption values can be meaningful!
  • 8. Example: gold-tracking ETF $0 āˆž option to force issuance for current price of an oz of gold, plus small transaction cost option to redeem for current price of an oz of gold, less small transaction cost token price pegged within a very narrow band surrounding the price of gold. (This is close to how ETFs like GLD actually work, but thereā€™s a wrinkle. In order to ensure that redemption requests can always be met, the redemption price must drift downward over time to cover the cost of storing gold, which can be sold when redemptions are demanded. The issue price follows the redemption price down. The ETF perfectly tracks the return of holding gold less storage and administration fees. But the price diverges from itā€™s original 0.1 oz ļ¬x. The price of a cryptoasset without storage or administration fees can be tracked perfectly.)
  • 9. Game theory and behavior ā€¢ Remember, our ultimate goal is not to shape a price, but to condition the behavior of the community that trades our assets. ā€¢ Tools as trivial as a redemption price can profoundly shape the behavior of institutions and communities. Weā€™ll need to do some game theory to understand how. ā€¢ Letā€™s review.
  • 10. What is a Nash Equilibrium? ā€¢ A Nash equilibrium refers to a circumstance in which every agent is pursing her best strategy given the strategies other agents are pursuing. ā€¢ Equivalently, under a Nash equilibrium, no single agent can improve her outcome with a unilateral change of strategy. Any improvements would require trusted or enforced coordination. ā€¢ A stable Nash Equilibrium is like a kind of social habit.
  • 12. Example: Prisonersā€™ Dilemma Alice Bob Keep Quiet Confess Keep Quiet Alice -1 / Bob -1 Alice -4 / Bob 0 Confess Alice 0 / Bob -4 Alice -3 / Bob -3
  • 13. Example: Prisonersā€™ Dilemma Alice Bob Keep Quiet Confess Keep Quiet Alice -1 / Bob -1 Alice -4 / Bob 0 Confess Alice 0 / Bob -4 Alice -3 / Bob -3
  • 14. Example: Prisonersā€™ Dilemma Alice Bob Keep Quiet Confess Keep Quiet Alice -1 / Bob -1 Alice -4 / Bob 0 Confess Alice 0 / Bob -4 Alice -3 / Bob -3
  • 15. Example: Prisonersā€™ Dilemma Alice Bob Keep Quiet Confess Keep Quiet Alice -1 / Bob -1 Alice -4 / Bob 0 Confess Alice 0 / Bob -4 Alice -3 / Bob -3
  • 17. Example: Stag Hunt Alice Bob Hunt Chill Hunt Alice 3 / Bob 3 Alice -2 / Bob 0 Chill Alice 0 / Bob -2 Alice 0 / Bob 0
  • 18. Example: Stag Hunt Alice Bob Hunt Chill Hunt Alice 3 / Bob 3 Alice -2 / Bob 0 Chill Alice 0 / Bob -2 Alice 0 / Bob 0
  • 19. Example: Stag Hunt Alice Bob Hunt Chill Hunt Alice 3 / Bob 3 Alice -2 / Bob 0 Chill Alice 0 / Bob -2 Alice 0 / Bob 0
  • 20. Example: Stag Hunt Alice Bob Hunt Chill Hunt Alice 3 / Bob 3 Alice -2 / Bob 0 Chill Alice 0 / Bob -2 Alice 0 / Bob 0
  • 21. Example: Stabilizing a fractional reserve bank ā€¢ Clients prefer to hold deposits in a bank rather than cash is a shoebox, because of payment convenience and reduced security costs / risks. A dollar in the bank is worth $1 in payment use- value and an additional .2Ā¢ in added convenience. ā€¢ Unfortunately, the bank is ā€œfractional reserveā€ meaning if both Alice and Bob simultaneously try to withdraw cash, the bank will have to sell assets in a ā€œļ¬re saleā€ and will only be able to pay $0.50 on each dollar deposited. ā€¢ This sets up a ā€œstag huntā€ game.
  • 22. Example: Stabilizing a fractional reserve bank ā€¢ An unguaranteed bank Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1 Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5
  • 23. Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1 Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5 Example: Stabilizing a fractional reserve bank ā€¢ An unguaranteed bank
  • 24. Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1 Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5 Example: Stabilizing a fractional reserve bank ā€¢ An unguaranteed bank
  • 25. Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 0 / Bob 1 Run Alice 1 / Bob 0 Alice 0.5 / Bob 0.5 Example: Stabilizing a fractional reserve bank ā€¢ An unguaranteed bank
  • 26. Example: Stabilizing a fractional reserve bank ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1 Run Alice 1 / Bob 1.02 Alice 1 / Bob 1
  • 27. Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1 Run Alice 1 / Bob 1.02 Alice 1 / Bob 1 Example: Stabilizing a fractional reserve bank ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
  • 28. Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1 Run Alice 1 / Bob 1.02 Alice 1 / Bob 1 Example: Stabilizing a fractional reserve bank ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
  • 29. Alice Bob Hold in Bank Run Hold in Bank Alice 1.02 / Bob 1.02 Alice 1.02 / Bob 1 Run Alice 1 / Bob 1.02 Alice 1 / Bob 1 Example: Stabilizing a fractional reserve bank ā€¢ Redemption guarantee eliminates ā€œbadā€ equilibrium
  • 30. Example: Stabilizing a fractional reserve bank ā€¢ Note that in this example, the redemption guarantee profoundly alters the institutional outcomes even though no player ever makes use of it! ā€¢ So a sufļ¬ciently credible bluff would do the same thing. There is a reason why banks were built of thick, solid marble and opulently appointed prior to the guarantees now offered by the Fed and the FDIC. ā€¢ In real life, we are interested in many player games, not two player arrangements between Alice and Bob. ā€¢ With discontinuous equilibria (like our original case), idiosyncratic, random behavior is unlikely to cause a shift. Phase changes happen when something coordinates and biases participant behavior. If we want stability, we must design to discourage correlated shifts. Bluff well.
  • 31. $0 āˆž option to force issuance for $1 USD, perhaps plus small fees option to redeem for redeem for $1 USD. Pincer of issuance and redemption pegs the price of a bank deposit to $1 For much of US history, each ā€œdollarā€ deposit or note from private banks traded at prices less than a dollar of US currency. ā€œParityā€, in the lingo, of bank deposits and currency, was a big deal, and is much of the purpose of the modern, Federal Reserve centered banking system. Bank deposits are literally pegged to US dollars, just like an ETF might peg gold. Rather than bearing storage costs to insure redeemability (which would force a negative downward drift like with GLD), banks invest for positive return and let the regulatory state guarantee redemption. Example: Stabilizing a fractional reserve bank ā€¢ Look familiar?
  • 32. Beyond peggingā€¦ $0 āˆž $0 āˆž šŸ˜• šŸ’­ Pegging is easy.ā€Ø I want to know whatā€Ø happens here. unpredictablepricewithinthisrange
  • 33. Fantastic Planet (aka repeated games) Source: Film ā€” Fantastic Planet (1973), GIF ā€” http://giphy.com/gifs/animation-ļ¬lm-dancing-XCYQ725hhVvJS
  • 34. Fantastic Planet (aka repeated games) ā€¢ Buying and selling your asset represents a repeated game, for which there are a potentially infinite array of Nash Equilibria that your transactors might hit upon, for a while. ā€¢ A Nash Equilibrium can be coordinated around any price. ā€¢ The price space is effectively continuous, which means equilibria are likely to drift and be unstable. ā€¢ More complicated equilibria, including conventions like ā€œgreater foolā€ may arise. ā€” Greater fool gets a bum rap, but it is not always an unreasonable game!
  • 35. Example: Repeated Prisonersā€™ Dilemma ā€¢ Simplifying assumptions: ā€” Discount rate of 0% (we value the future like the present) ā€” Credible self-commitment (but no trust required of others) ā€¢ Our players adopt a ā€œgrim triggerā€ strategy ā€” They agree upon a plan in advance ā€” If either player ever deviates, forever after the betrayed party foregoes its own welfare to make the betrayerā€™s life as miserable as possible. ā€” This is referred to as a ā€œminimax strategyā€, the betrayed minimizes the maximum achievable welfare of the betrayer. ā€” This is an existence proof, not a claim that ā€œgrim triggerā€ is a likely strategy
  • 36. Example: Repeated Prisonersā€™ Dilemma Alice Bob Keep Quiet Confess Keep Quiet Alice -1 / Bob -1 Alice -4 / Bob 0 Confess Alice 0 / Bob -4 Alice -3 / Bob -3
  • 37. Example: Repeated Prisonersā€™ Dilemma Alice Bob Keep Quiet Confess Keep Quiet Alice -1 / Bob -1 Alice -4 / Bob 0 Confess Alice 0 / Bob -4 Alice -3 / Bob -3
  • 38. Repeated Prisonersā€™ Dilemma ā€¢ All four boxes can contribute to Nash Equilibria: ā€” The players can agree never to confess (the optimal outcome) ā€” The players can agree to oscillate w.r.t. who confesses ā€” The players can not agree at all, or agree then deviate, in which case they then always confess ā€¢ Lessons: ā€” Repeated games can make almost any ā€œconventionā€ a Nash Equilibrium, if the breakdown of the convention will (by its nature or via credible commitment of other players) leave the deviator much worse off in future rounds. ā€” Nothing guarantees the ā€œbestā€ Nash Equilibrium will become conventional!
  • 39. Biasing chaos: Fine-grained sculpting of the valuation space ā€¢ ā€œFundamental valueā€ as fuzzy redeemability 1. Suppose our token cannot be redeemed at will, but it confers some sort of beneļ¬t on its holder 2. Potential beneļ¬ts include ā€” use value ā€” claims to future ļ¬‚ows of cash or value ā€” claims to assets following some triggering event ā€” capacity to extinguish debts, fees, or taxes ā€” control rights ā€” liquidity beneļ¬ts 3. If these beneļ¬ts could be converted to ā€œcashā€ at will (where cash is whatever currency or numeraire we are measuring value in), we would have simple redemption.
  • 40. Biasing chaos: Fine-grained sculpting of the valuation space ā€¢ ā€œFundamental valueā€ as fuzzy redeemability 4. Typically they cannot be, but they put a kind of fuzzy ļ¬‚oor on token values, because no one would sell a token for a price less than the value they put on the nonmarketable bundle of beneļ¬ts that accompany it. 5. This introduces a ā€œmeta-valuationā€ problem, as to understand the level of the ļ¬‚oor, we have to put a value on the bundled sources of value. 6. But since these bundles are not directly marketable, there will be no one, unique valuation. Different people will value them differently, and individuals will have a probabilistic rather than point-estimate understanding of fundamental value. Note: A simple redemption option is just an unusually sharp special case of fundamental value!
  • 41. āˆž -āˆž Biasing chaos: Fine-grained sculpting of the valuation space option to redeem for $10 becomes a ā€œfuzzy ļ¬‚oorā€ unpredictableprice $0 āˆž -āˆž $0 Fundamental value puts a ā€œfuzzyā€ ļ¬‚oor beneath asset value, imposes a bias, in the form of a probability distribution, on an otherwise chaotic valuation space. The greater the fundamental value, the higher the expected ļ¬‚oor.
  • 42. Sources of fundamental value ā€¢ Use Value ā€” Perhaps tokens can be ā€œredeemedā€ not for money, but for goods and services offered by the issuing application or entity. ā€¢ Claims to Future Flows of Cash or Value ā€” Perhaps tokens pay interest over time, or dividends that depend upon the success of an application or entity. Payments might be in some other cryptoasset, in traditional ļ¬at, or in ā€œuseā€, goods and services offered by the issuing application or entity. ā€¢ Claims to Assets Following Some Triggering Event ā€” Perhaps after an activity ļ¬nanced by the cryptoasset has completed, the product of the activity gets distributed pro rata to tokenholders. Perhaps in the event of a dissolution or disbanding of an application, unencumbered assets formerly controlled by the application will be distributed to tokenholders.
  • 43. Sources of fundamental value ā€¢ Control Rights ā€” Perhaps tokens confer a right to vote or participate in control of some application or entity whose behavior is consequencial to potential holders of the asset. ā€¢ Liquidity beneļ¬ts ā€” Perhaps the asset itself is useful as collateral or in trade, and so reduces costs of borrowing and exchange to its holders. ā€¢ Capacity to Extinguish Debts, Fees, or Taxes ā€” Perhaps by virtue of use of or participation within an application, users incur fee or tax liabilities. Perhaps to exploit Use Value, participants lend and borrow to one another. Perhaps the application imposes consequences that are unpleasant (inability to use, loss of data, exile from the community, meatspace legal enforcement). The existence of debtors and unpleasant consequences of nonpayment creates exchange value, since debtors may offer other assets, goods, or services in exchange for the tokens they need to evade the unpleasantness.
  • 44. Conventional modeling of fundamental value ā€¢ Financial assets are generally valued by estimating the cash ļ¬‚ows they are expected to produce over time, and summing them, with future cash ļ¬‚ows summed at a discount that accounts for time and risk. ļæ½ = ļæ½=ļæ½ āˆž ļæ½ļæ½ļæ½ (ļæ½ + ļæ½)ļæ½ ļæ½ = ļæ½ļæ½ ļæ½ ļæ½ļæ½ļæ½ļæ½ļæ½ļæ½ļæ½ļæ½ = ļæ½ļæ½ļæ½ ļæ½ - ļæ½
  • 45. Conventional modeling of fundamental value ā€¢ To the degree that the value provided can be expressed in your valuation numeraire (the currency you want to express your value in), discounted cash ļ¬‚ow techniques can be applied to estimating use value, claims to future cash ļ¬‚ows or value, and claims to assets following triggering events. ā€¢ Conceptually, the cryptoequity of a decentralized autonomous corporation is just equity. Nothing sexy or new needs to be invented to value it. ā€¢ But the techniques that are unsexy and old are imprecise. They leave lots of room for analysts or assetholders to disagree, except for instruments like safe bonds with very predictable cash ļ¬‚ows. ā€¢ And cryptoassets carry with them some new institutional detail.
  • 46. Conventional modeling of fundamental value Cryptoasset valuation will be unusually challenging for the forseeable future: 1. ā€œCash flowsā€ will often take the form of goods and services or other cryptoassets, which themselves will need to be valued. 2. Most traditional financial assets can be modeled as pure cash-flow sources. The control rights embedded in a share of stock and other institutional details affect the pricing for acquirers and purchasers of large blocks, but are negligible day to day. Many cryptoassets will (hopefully!) entangle assetholding with deep participation in organizations and communities. These aspects of the asset will be hard to value. 3. For institutional and regulatory reasons, it is very difficult to use most traditional financial assets directly for transfers and payments. Cryptoassets can be easily used this way. Liquidity premia are difficult to value. They rely on sometimes faddish and unstable coordination equilibria.This will complicate valuation. 4. Cryptoasset values may be affected by parties trying to settle liabilities which must be settled with the asset rather than ā€œcash settledā€. Experience with ā€œphysically settledā€ credit default swaps and theories of tax- or debt-driven money suggest this may meaningfully support prices, and contribute to volatility if settlement dates are correlated.There has been very little modeling of these phenomena.
  • 47. Biasing chaos: Discretionary or (stochastic) algorithmic issuance ā€¢ Good assets issue when their value grows too high! The sky should not be the limit. If game-theoretic chaos and greater-fool games make an asset too valuable, the asset should issue. ā€” Bubbles and ā€œgreater-foolā€ phenomena can be understood as indeļ¬nite-term repeated-game Nash equilibria. Once they arise, it can be perfectly reasonable to participate. They last indeļ¬nitely but not inļ¬nitely. They always end, with winners and losers. When they do, their collapse usually harms the ecosystem or application in which they arose. Issuance in the face of overvaluation need not mean ā€œinļ¬‚ationā€ or ā€œdebasing the assetā€. On the contrary, smart issuance can be value-maximizing for incumbent assetholders.
  • 48. āˆž -āˆž Biasing chaos: Discretionary or (stochastic) algorithmic issuance option to redeem becomes a ā€œfuzzy ļ¬‚oorā€ unpredictableprice $0 āˆž -āˆž $0 option to force issuance becomes a ā€œfuzzy ceilingā€ The combination of fundamental value and smart issuance puts ā€œfuzzyā€, stochastic bounds on your cryptoassetā€™s value, enhancing valuability, limiting chaotic unstable games.
  • 49. Smart issuance: To whom, for what? ā€¢ An issuance policy is desirable to constrain endogenous volatility of the asset price. ā€¢ Probability of issuance should be a function of price! ā€¢ But issuing claims for nothing to particular parties amounts to extraction of value from the remaining community of assetholders. ā€¢ Issuance should either pay for goods that beneļ¬t all holders, or intentionally punish particular holders. ā€¢ If the application or decentralized entity that issues the tokens holds assets or requires services, newly issued tokens should be sold to purchase assets and services whenever doing so is likely to increase the fundamental value of the tokens. ā€¢ If an application requires ongoing participation and maintenance by the community it comprises, issuance to ā€œactiveā€ community members for free is a means of punishing those deemed to have undercontributed. ā€” Be sure you mean to punish the people that you punish! They will probably leave if they can!
  • 50. -āˆž āˆž -āˆž $0 Smart issuance: To whom, for what? āˆž $0 Issuance to purchase an asset worth more thanā€Ø (existing_fundamental_value / tokens_outstanding)ā€Ø increases the expected value of old tokens old expected value new expected value
  • 51. An old trick: Think in balance sheets! ā€¢ Every cryptoasset can be understood as a liability or equity claim against a decentralized organization. ā€¢ The right-hand side of a cryptoasset balance sheet is very easy to construct! ā€¢ The left-hand side is very difļ¬cult to construct, because the sources and quantities of fundamental value must be characterized, and those can usually only be estimated. ā€” ā€œAssetsā€ of a DAO may be intangible and have no cost basis ā€¢ Nevertheless, the exercise helps us to frame questions of valuation and decisions about issuance.
  • 52. Case study: Bitcoin ā€¢ BTC has a market cap of $3.8B, with each token currently trading at $233.88. What supports that value? ā€” BTC is not redeemable, it has no hard ļ¬‚oor. It offers no option to force issuance, so no ceiling. ā€” BTC holders enjoy liquidity services, transacting ~$4M per dayā€Ø with counterparties outside the network = $1.46B per year ā€” Ignoring electricity costs, using Western-Union-ish order of magnitudeā€Ø market value (10%) of annual liquidity services ļ¬‚ow: $146M ā€” At an 8% discount rate, no growth, fundamental value is $1.83B ā€” At the same 8% hurdle rate with an annual growth rate of 4.2%ā€Ø the valuation would be justiļ¬ed ā€” BTC issues currently at a rate of roughly 10% p.a., paying for nonimprovingā€Ø maintenance to a small subset of its holders. For nonminers, ~14% ļ¬‚owā€Ø growth would be required to justify price @ 8%. No recent history of thatā€Ø kind of growth ā€” An issuance algorithm that sold new BTC for assets attributable to all BTC holdersā€Ø would likely enhance value at current BTC prices. Balance Sheet Assets Liabilities + Equity Quantity Value Network for liquidity provision $1,830,000,000 BTC Outstanding 13,900,000 $273.88 $3,806,932,000 Overvaluation -$142.23 -$1,976,932,000 Total Assets $1,830,000,000 Liabilities + Equity $131.65 $1,830,000,000 THIS IS AN EXERCISE.ā€Ø IT INCLUDES SIMPLIFICATIONS AND WILDLY QUESTIONABLE ASSUMPTIONS.ā€Ø DATA WAS CULLED FROM QUESTIONABLE SOURCES. IT IS UNLIKELY TO BE ACCURATE. IT IS JUST AN EXERCISE!
  • 53. Case study: Bitcoin ā€¢ BTC has a market cap of $3.8B, with each token currently trading at $233.88. What supports that value? ā€” BTC is not redeemable, it has no hard ļ¬‚oor. It offers no option to force issuance, so no ceiling. ā€” BTC holders enjoy liquidity services, transacting ~$4M per dayā€Ø with counterparties outside the network = $1.46B per year ā€” It is very hard to value an asset whose only ā€œfundamental valueā€ sourceā€Ø is potentially unstable liquidity provision. ā€” Ignoring electricity costs, using Western-Union-ish order of magnitudeā€Ø market value (10%) of annual liquidity services ļ¬‚ow: $146M ā€” Presuming stabilty, at an 8% discount rate, no growth, fundamental value is $1.83B ā€” At the same 8% hurdle rate with an annual growth rate of 4.2%ā€Ø the valuation would be justiļ¬ed ā€” BTC issues currently at a rate of roughly 10% p.a., paying for nonimprovingā€Ø maintenance to a small subset of its holders. For nonminers, ~14% ļ¬‚ow growthā€Ø would be required to justify price @ 8%. No recent history of that kind of growth ā€” An issuance algorithm that sold new BTC for assets attributable to all BTC holdersā€Ø would likely enhance value at current BTC prices. Balance Sheet Assets Liabilities + Equity Quantity Value Network for liquidity provision $1,830,000,000 BTC Outstanding 13,900,000 $273.88 $3,806,932,000 Overvaluation -$142.23 -$1,976,932,000 Total Assets $1,830,000,000 Liabilities + Equity $131.65 $1,830,000,000
  • 54. Case study: Ethereum ā€¢ ETH has a (time of sale) market cap of $18M, with each token valued at $0.31. What supports that value? ā€” ETH is not redeemable for tradable assets, it has no hard ļ¬‚oor. ā€” ETH offers no option to force issuance, so no ceiling. ā€” ETH will provide use value, it will be exchangeable for trusted computation services. ā€” ETH can potentially be used as a token for exchange or as collateral,ā€Ø so it may offer liquidity provision services. ā€” There is presently insufļ¬cient information to make any kind of estimate of theā€Ø value of these services. ā€” ETH will not pay interest or dividends, will not payout to holders on liquidation or other trigger events, is not likely to create or engender in-kind, costly-to-default liabilities, and confers no meaningful control rights on holders. Use value and liquidity provision are the sole sources of value. ā€” ETH has no price-sensitive issuance model. It may suffer bubbles and crashes. The application will not be able to capitalize on overvaluation on behalf of incumbent token holders. Balance Sheet Assets Liabilities + Equity Quantity Value Network for trusted computation services ??? ETH Outstanding 60,102,216 $0.31 $18,439,000 Network for liquidity provision ??? Total Assets ??? Liabilities + Equity $0.31 $18,439,000
  • 55. Conclusion ā€¢ BTC and ETH are not, in fact, very interesting assets to value. Much more interesting will be the tokens people build on top of platforms like Ethereum, tokens whose economic valuation must create incentives that coordinate the behavior of decentralized applications and organizations. ā€¢ Cryptoasset valuation is not an analytic topic, but matter of design. We must design assets which, in the context of the games our participants will play, will take on valuations consistent with the kinds of collaborations we hope our applications will inspire.
  • 56. Conclusion ā€¢ Without constraint, tokens are susceptible to random drift between transiently conventional prices and ā€œgreater foolā€ games that lead to bubbles and crashes. These kinds of assets are ultimately ā€œinvaluableā€, in the sense that their valuation is path dependent, potentially chaotic, and resistant to prediction or analysis. ā€¢ We can ā€œsculptā€ the valuation space by imposing constraints on valuation. ā€¢ Simple, hard constraints include offering options to purchasers to force new asset issuance at some (potentially variable) price, which imposes a hard price ceiling, and providing a standing offer to redeem assets at a price, which imposes a hard price ļ¬‚oor.
  • 57. Conclusion ā€¢ A ā€œsoftā€ price ļ¬‚oor can be imposed by endowing assets with ā€œfundamental valueā€ which serves as a kind of fuzzy redeemability. Sources of fundamental value include ā€” use value ā€” claims to future ļ¬‚ows of cash or value ā€” claims to assets following some triggering event ā€” capacity to extinguish debts, fees, or taxes ā€” control rights ā€” liquidity beneļ¬ts We can ā€œsculptā€ the valuation space by imposing constraints on valuation ā€” redeemability itself ā€¢ A soft price ceiling can be imposed by adopting policies, algorithmic or discretionary, that provoke issuance of new assets as prices rise too far into the chaotic space far above reasonable estimates of fundamental value.
  • 58. Conclusion ā€¢ Issuance of new assets, if done smartly, need not imply ā€œinļ¬‚ationā€ or ā€œdebasementā€, even from the perspective of existing holders of the asset. ā€¢ Every cryptoasset implicitly deļ¬nes a decentralized organization that can be characterized by balance sheets. The ease and certainty with which a balance sheet can be written provides clues as to how ā€œvaluableā€ ā€” able to be coherently valued ā€” a token is. ā€¢ Balance sheets whose asset side value estimates are stubbornly below the market cap of outstanding tokens indicate overvaluation, and suggests that issuing new tokens at market prices to purchase assets or services for the organization will be supportive of value for existing token holders.