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Hedge Sugar-ing

PreviousDetermining Sugar levels (price)NextPost-diabetes

Last updated 2 years ago

This section takes into account the impact of trading fees on risk-neutral pricing, represented by the symbol.

using ϕk\phi_kϕk​ to denote the proportion of the hedge purchased for a given strike in a given epoch, the return for "selling" it can be shown as

APRk=12×(1−c1−ϕk),APR_k=12\times\left(\frac{1-c}{1-\phi_k}\right),APRk​=12×(1−ϕk​1−c​),

and in order for a no-arbitrage environment, we must have the relation

Pk=ϕk1−c.P_k=\frac{\phi_k}{1-c}.Pk​=1−cϕk​​.

It should be noted that although the APR for selling a hedge may seem quite high, there is always a probability PkP_kPk​ of the seller's entire position being liquidated.