Okay, here is a response to at least this question. I think I’ll need a new post for the other ones.
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First, let’s describe the mathematics behind the system. Assuming that supply fully responds to demand eventually, market incentives will set a floor on the Nubits price.
To show how this works, let’s first break down demand for Nubits into two components.
Demand for Nubits = Demand for Txn Purposes + Investment Demand
In the long-run, we would like to achieve:
Supply of Nubits = Demand for Txn Purposes
Investment Demand = 0
In the medium-term, investment demand comes in to absorb excess nubits supply. The interest parity condition describes an equilibrium price, where investment demand = investment supply.
To set up the interest parity equation, let’s assume the following:
a) speculators demand a risk-adjusted return of R% per month for holding Nubits
b) park rates are I% per month (where I < R)
c) Supply exceeds txn demand. It will take approximately T months of daily nubits burning to reach the long-run supply necessary for exact parity.
Under these assumptions, if the current market price of nubits is P, the expected rate of Nubits appreciation will be (1/P)^(1/T)-1. This is a source of returns for investors.
Investors will also get a monthly return I from the park rate, so that the total rate of return from investing in Nubits will be I + (1/P)^(1/T)-1
(Note: This is actually an approximation.)
The current equilibrium price, P, sets the sum of these two returns equal to R and is given by the following equation:
R = I + (1/P)^(1/T) - 1
Solving for P yields:
P = (1+ R - I)^(-T)
So P is decreasing in T. All else equal, the longer it takes to adjust supply, the lower the current market price will be.
P is also decreasing in R. All else equal, the larger the risk premium on Nubits, the slower investors will be to respond to a deviation from parity.
P is increasing in I. Note that the park rate, I, compensates investors for risk. The system achieves an better and better parity as I approaches R and perfect parity if I = R.
Okay, now let’s think about some implications of this:
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We don’t necessarily need to respond immediately to demand fluctuations immediately to maintain parity. There is always have some floor on the equilibrium price.
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If deviations from parity are unacceptably large, we can address this by adjusting the park rate.
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1% a day is quite an extreme change in demand. If we see changes like this, I think it indicates excess other problems that we should try an address directly (e.g. hacked exchange risk is a consequence of the existing custodial system, volatile demand from BTC speculators is due to a costly attempt to maintain BTC liquidity). If we were actually serving a demand for consumer txns and payments, we would almost never see demand movements in excess of 1% day.
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The design is compatible with ongoing use of liquidity custodians should they prove necessary. That is, one could still intervene using existing mechanisms in the event of a large deviation from parity. The effectiveness of the design increases as R falls and is accordingly likely to improve as Nubits gains more traction.