Question

1. Consider this variant of a forward contract. In addition to the usual forward contract with maturity T on stock S, the party which promises to buy pays a premium Sp to the seller at initiation of the contract (i.e., at time t). Determine, by arbitrage arguments how the forward price K (the price agree to pay at time T) must be adjusted. Assume interest is constant and equal to r.
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Answer #1

Buy stock today sell forward today

cash flow now:-S0+P

Cash flow at expiry:F

So, for value to be zero now,

-S0+p+Fe^(-rt)=0

=>F=(S0-p)e^(rt)

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