2. The price of a European call that expires in six months and has a strike price of $30 is $2. The underlying stock price is $29, and a dividend of $0.50 is expected in two months and again in five months. The term structure is flat, with all risk-free interest rates being 10%. Calculate the price of a European put option that expires in six months and has a strike price of $30. of Dividends Dividend 1* e^(-12) Dividend 2* e^(-12)

2. The price of a European call that expires in six months and has a strike price of $30 is $2. The underlying stock price is $29, and a dividend of $0.50 is expected in two months and again in five months. The term structure is flat, with all risk-free interest rates being 10%. Calculate the price of a European put option that expires in six months and has a strike price of $30. of Dividends Dividend 1* e^(-12) Dividend 2* e^(-12)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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The price of a European call option on a non-dividend-paying stock with a strike price of $50 is $6. The stock price is $51, the continuously compounded risk-free rate (all maturities) is 6% and the time to maturity is one year. What is the price of a one-year European put option on the stock with a strike price of $50? O $7.00 O $6.00 O $9.91 O None of these O $2.09 Previous Next ▸
Suppose that a stock price is currently 51 dollars, and it is known that one month from now, the price will be either 6 percent higher or 6 percent lower. Find the value of an American call option on the stock that expires one month from now, and has a strike price of 49 dollars. Assume that no arbitrage opportunities exist, and a risk free interest rate of 10 percent
Consider an American Put option with time to expiry of 5 months and a strike price of 82. The current price of the underlying stock is 80. Divide the time to expiry into five 1-month intervals. In each interval, the stock price can either rise by 6, or fall by 6, with unknown probability. The risk-free rate is 4.2% per annum, continuously compounded. What is the value of the option. Please provide necessary calculations.
6. A 4-month European call option on a dividend paying stock is selling for C = $4. So = $54, K = $50. A dividend of $0.90 is expected in 2 months. r = .12. Assume continuous discounting. Are there opportunities for arbitrage? Explain and show these opportunities.
3. Consider a European call option on a non-dividend paying stock with exercise price 100 USD and expiration in one month. Interest rate is 1 percent and volatility of the stock is 0.4. Stock price 90 USD. Option price?? Use excel.
A stock that does not pay dividend is trading at $40. A European call option with strike price of $30 and maturing in one year is trading at $6. An American call option with strike price of $30 and maturing in one year is trading at $16. You can borrow or lend money at any time at risk-free rate of 5% per annum with continuous compounding. Devise an arbitrage strategy
Question 2. What is the price of a European call option on a non-dividend paying stock when the stock price is $52, the strike price is $50, the risk-free interest rate is 12% per annum, the volatility is 30% per annum, and the time to maturity is 3 months?
Suppose that a stock price is currently 61 dollars, and it is known that at the end of each of the next two six-month periods, the price will be either 18 percent higher or 18 percent lower than at the beginning of the period. Find the value of a European put option on the stock that expires a year from now, and has a strike price of 64 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 10 percent.
The price of an American call on a non-dividend paying stock is $2. The stock price is $15.50, the strike price is $15, the expiration date is in 6 months, and the risk free interest rate is 4% continuously compounded. Which of the following is correct, regarding the option premium of an American put on the stock with a strike price of $15 and an expiration date in 6 months? a. The upper bound for the price of the American put is $14.70 and the lower bound is $0 b. The lower bound for the price of the American put is 0 and the upper bound is $1.50 c. The lower bound for the price of the American put is $1.20 and the upper bound is $1.50
Plot the value of a two-year European put option with a strike price of $20 on World Wide Plants as a function of the stock price. Recall that World Wide Plants has a constant dividend yield of 5% per year and that its volatility is 20% per year. The two-year risk-free rate of interest is 4%. Explain why there is a region where the option trades for less than its intrinsic value.
The price of a European call option on a non dividend paying stock with a strike price of $79 is $8. The stock price is $75, the continuously compounded risk-free rate (all maturities) is 4.50% and the time to maturity is one year. a. What is the price of a one year European put option on the stock with a strike price of $79? (Hint: Use the Put-Call Parity Formula).
Suppose a one-year European put option on a stock has an exercise price of $30 and oneyear European call option on the same stock has the same exercise price of $30. The call is worth 3$ and the put is worth 2$. If the one-year interest rate is 1.5%, what is the price of the underlying stock, assuming no arbitrage opportunity?

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