For a stock, you are given that:i) The current stock price is 45ii) The stock is going to pay a dividend of 1.2 after 3 months. This is the only dividend to be paid in the coming 6 months.iii) A 6-month 42-strike European put option on the stock has a premium of 0.36iv) The continuosly compounded risk-free interest rate is 4%Consider a 6-month 42-strike American call option on the stock. Is it optimal to excerise that call option now?Possible AnswersA Yes, because the sum of implicit put protection and interest on strike is greater than the present value of dividendsB No, because the sum of implicit put protection and interest on strike is greater than the present value of dividendsC Yes, because the sum of implicit put protection and interest on strike is smaller than the present value of dividendsD No, because the sum of implicit put protection and interest on strike is smaller than the present value of dividendsE Cannot be determined

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For a stock, you are given that: i) The current stock price is 45 ii) The stock is going to pay a dividend of 1.2 after 3 months. This is the only dividend to be paid in the coming 6 months. iii) A 6-month 42-strike European put option on the stock has a premium of 0.36 iv) The continuosly compounded risk-free interest rate is 4% Consider a 6-month 42-strike American call option on the stock. Is it optimal to excerise that call option now?

For a stock, you are given that: i) The current stock price is 45 ii) The stock is going to pay a dividend of 1.2 after 3 months. This is the only dividend to be paid in the coming 6 months. iii) A 6-month 42-strike European put option on the stock has a premium of 0.36 iv) The continuosly compounded risk-free interest rate is 4% Consider a 6-month 42-strike American call option on the stock. Is it optimal to excerise that call option now?

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 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
A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. Calculate the fair price for a 1 year European call option with an exercise price of $95. Calculate how much the current stock price would need to change for the purchaser of the call option to break even in one year. Calculate the fair price for a 1 year European put option with an exercise price of $95. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work in excel and functions/equations used.
The price of a non-dividend paying stock is $14 and the price of a six-month European call option on the stock with a strike price of $26 is $1. The risk-free rate is 7% per annum. What is the price of a six- month European put option with a strike price of $26?
A stock price is currently 50 and after 6-months it can be either 60 or 42. The risk-free rate is 12% (continuous compounding). The no-arbitrage price of a 6-month european call option written on this stock with strike 50 is (a) 2.89 (b) 3.61 (c) 4.64 (d) 5.80 (e) 6.96
Calculate the upper and lower bounds for the price of a 4-month European call option on a non-dividend-paying stock when the stock price is $28, the strike price is $25 and the risk-free rate is 8% p.a. compounded continuously. '0
When the non-dividend paying stock price is $20, the strike price is $20, the risk-free rate is 6% per year with continuous compounding, the volatility is 30% and the time to maturity is 3 months which of the following is the price of a European call option on the stock? 19.7N(0.175)-20N (0.025) 19.7N(0.025)-20N (0.175) 20N(0.175)-19.7N(0.025) O 20N(0.025)-19.7N(0.175)
You are considering the purchase of 100 units of a 3-month 25 - strike European call option on a stock. You are given: (i) The Black - Scholes framework holds. (ii) The stock is currently selling for 20. (iii) The stocks volatility is 24%. (iv) The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 3%. (v) The continuously compounded risk-free interest rate is 5%. Calculate the price of the block of 100 options.
Suppose that a stock price is currently 56 dollars, and it is known that five months from now, the price will be either 22 percent higher or 22 percent lower. Find the value of a European put option on the stock that expires five months from now, and has a strike price of 55 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 6 percent.
Suppose a non-dividend paying stock is trading at $175 per share and has a volatility of 20%. What is the fair price of a 3-month European call option with a strike price of $190 per share using 1 binomial period? Assume the risk-free rate is 1%. Round to the nearest $0.01.
A stock price is currently $51. It is assumed that at the end of six months it will be either $30 or $74. The risk-free interest rate is 1.3% per annum with continuous compounding. The stock doesn't pay dividends. One-step binomial tree is used to value options. What is the value of a six-month European call option with a strike price of $51? Round your final result to the nearest cents and input one number only, without units or percentage sign [%], using the dot [.] to separate decimals. Your Answer: Answer
D4) Finance Calculate the price of a 3-month American put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the risk-free interest rate is 5% per annum, and the volatility is 25% per annum. Use a binomial tree with a time interval of 1 month.
The current stock price is $20, the risk - free interest rate is 5% per annum (consecutive compounding), and the volatility is 15% per annum. Calculate the price of a European call option with a maturity of 3 months and an exercise price of $21. However, this stock is assumed to be non - dividend.

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