# Question: What is the value of a claim paying Q T 1S T

What is the value of a claim paying Q(T )−1S(T )? Check your answer using Proposition 20.4.

## Answer to relevant Questions

You are offered the opportunity to receive for free the payoff [Q(T ) − F0,T (Q)]× max[0, S(T ) − K] Verify that S(t)e−δ(T−t)N(d1) satisfies the Black-Scholes equation. Suppose there are 1-, 2-, and 3-year zero-coupon bonds, with prices given by P1, P2, and P3. The implied forward interest rate from year 1 to 2 is r0(1, 2) = P1/P2 − 1, and from year 2 to 3 is r0(2, 3) = P2/P3 − 1. ...Under the same assumptions as the previous problem, show that the value of a claim paying S2(T ) if S1(T) > KS2(T ) is where σ2, δ1, and δ2 are defined as in the previous problem. In the next set of problems you will use ...For the lookback call: a. What is the value of a lookback call as ST approaches zero? Verify that the formula gives you the same answer. b. Verify that at maturity the value of the call is ST − ST .Post your question