## Derivatives HW #7 Nd Lab 2

17.2

“Once we know how to value options on a stock paying a dividend yield, we know how to

value options on stock indices and currencies.” Explain this statement.

17.3

A stock index is currently 300, the dividend yield on the index is 3% per annum, and the

risk-free interest rate is 8% per annum. What is a lower bound for the price of a sixmonth European call option on the index when the strike price is 290?

17.7

Calculate the value of an eight-month European put option on a currency with a strike

price of 0.50. The current exchange rate is 0.52, the volatility of the exchange rate is 12%,

the domestic risk-free interest rate is 4% per annum, and the foreign risk-free interest

rate is 8% per annum.

17.10

Consider a stock index currently standing at 250. The dividend yield on the index is 4%

per annum, and the risk-free rate is 6% per annum. A three-month European call option

on the index with a strike price of 245 is currently worth $10. What is the value of a

three-month put option on the index with a strike price of 245?

17.11

An index currently stands at 696 and has a volatility of 30% per annum. The risk-free

rate of interest is 7% per annum and the index provides a dividend yield of 4% per

annum. Calculate the value of a three-month European put with an exercise price of 700.

18.1

Explain the difference between a call option on yen and a call option on yen futures.

18.14

A futures price is currently 25, its volatility is 30% per annum, and the risk-free interest

rate is 10% per annum. What is the value of a nine-month European call on the futures

with a strike price of 26?

18.15

A futures price is currently 70, its volatility is 20% per annum, and the risk-free interest

rate is 6% per annum. What is the value of a five-month European put on the futures with

a strike price of 65