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A digital call option with strike K and expiry time T is a derivative that will pay the holder a fixed amount of money M
A digital call option with strike K and expiry time T is a derivative that will pay the holder a fixed amount of money M at time T if the price Sr of the underlying share at that time is greater than or equal to, K. Otherwise, the option pays out nothing. Similarly, a digital put option pays an amount M only if Sy is less than K at expiry. (c) Let C, and P, be the prices at some time t (earlier than T) of a digital call option and a digital put option respectively, each with the same underlying, K, T and M. Prove the put-call parity relationship for digital options: C, + P = Me-r(T-1) (You should assume that the underlying share pays no dividends, and that all market participants have access to a bank account with continuously-compounded interest rater for both borrowing landin Ro cure to iustify every step of vour proof carefully
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