# Questions tagged [forward]

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### How to derive Black's formula for the valuation of an option on a future?

I've got a question about 1976 Black Model and Bachelier model. I know that a geometric brownian motion in the P measure $dS_{t}=\mu S_{t}dt+\sigma S_{t} dW_{t}^{P}$ for a stock price $S_{t}$ leads (...
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### Different versions of Put-Call Parity

Why is it stated sometimes that $C - P = F$ and in wikipedia it statest that $C - P = D(F-K)$, where D is the discount factor and K is the strike (of both the call and put?). Is this just affected ...
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### Formula for forward price of bond

What is the formula for the forward price of a bond (assuming there are coupons in the interim period, and that the deal is collateralised) Please also prove it with an arbitrage cashflow scenario ...
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### why do forward contracts have varying sensitivity to yield, but futures contracts do not?

I just watched https://institute.cmegroup.com/courses/introduction-to-eurodollars/modules/understanding-convexity-bias as I understand it, if the yield rate of a futures contract increases, the price ...
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### Mark to market forward contract

(All prices are in $) Say that at time$t=0$,$A$goes long a forward contract with maturity$T$on an underlying asset$X$with forward price 100 \$, that is, $A$ agrees to buy $X$ for 100 \\$ at ...