# Question

A collect-on-delivery call (COD) costs zero initially, with the payoff at expiration being 0 if S Let S = $100, K = $100, r = 5%, σ = 20%, T − t = 1 year, and δ = 0.

a. Value a European COD call option with the above inputs. (Hint: Recognize that you can construct the COD payoff by combining an ordinary call option and a cash-or-nothing call.)

b. Compute delta and gamma for a COD option. (You may do this by computing the value of the option at slightly different prices and calculating delta and gamma directly, rather than by using a formula.) Consider different stock prices and times to expiration, in particular setting t close to T .

c. How hard is it to hedge a COD option?

a. Value a European COD call option with the above inputs. (Hint: Recognize that you can construct the COD payoff by combining an ordinary call option and a cash-or-nothing call.)

b. Compute delta and gamma for a COD option. (You may do this by computing the value of the option at slightly different prices and calculating delta and gamma directly, rather than by using a formula.) Consider different stock prices and times to expiration, in particular setting t close to T .

c. How hard is it to hedge a COD option?

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