A 1-year long forward contract on a non-dividend-paying stock is entered into when the stock price is $40 and the risk-free rate of interest is 10% per annum with continuous compounding.

(a) What are the forward price and the initial value of the forward contract?


(b) Six months later, the price of the stock is $45 and the risk-free interest rate is still 10%. What are the forward price and the value of the forward contract?

Respuesta :

Answer:

(a) What are the forward price and the initial value of the forward contract?

Fo= 40ε[tex]^{0.1*1}[/tex] = 44.21

The initial value of the forward contract is zero.

(b) Six months later, the price of the stock is $45 and the risk-free interest rate is still 10%. What are the forward price and the value of the forward contract?

The delivery price  K  in the contract is $44.21. The value of the contract, f, after six  months is given by:

f= 45-44.21ε[tex]^{-0.1*0.5}[/tex]

= $2.95

The forward price is:

45ε[tex]^{0.1*0.5}[/tex] = $47.31

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