A collar is established by buying a share of stock for $46, buying a 6-month put option with exercise price $43, and writing a 6-month call option with exercise price $49. On the basis of the volatility of the stock, you calculate that for a strike price of $43 and expiration of 6 months, N(d₁) = .6974, whereas for the exercise price of $49, N(d₁) = 0.6504. a. What will be the gain or loss on the collar if the stock price increases by $1? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Collar gain by .05 b-1. What happens to the delta of the portfolio if the stock price becomes very large? (Omit the "$" sign in your response.) Delta of the portfolio approaches b-2. What happens to the delta of the portfolio if the stock price becomes very small? (Omit the "$" sign in your response.) Delta of the portfolio approaches

A collar is established by buying a share of stock for $46, buying a 6-month put option with exercise price $43, and writing a 6-month call option with exercise price $49. On the basis of the volatility of the stock, you calculate that for a strike price of $43 and expiration of 6 months, N(d₁) = .6974, whereas for the exercise price of $49, N(d₁) = 0.6504. a. What will be the gain or loss on the collar if the stock price increases by $1? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Collar gain by .05 b-1. What happens to the delta of the portfolio if the stock price becomes very large? (Omit the "$" sign in your response.) Delta of the portfolio approaches b-2. What happens to the delta of the portfolio if the stock price becomes very small? (Omit the "$" sign in your response.) Delta of the portfolio approaches

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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A stock trades for $45 per share. A call option on that stock has a strike price of $55 and an expiration date twelve months in the future. The volatility of the stock's returns is 44%, and the risk-free rate is 5%. What is the Black and Scholes value of this option? The Black and Scholes value of this call option is $ (Round to the nearest cent.)
Assume that you have been given the following information on Purcell Corporation's call options: Inputs Intermediate Calculations Current stock price = $12 d1 = 0.32863 Time to maturity of option = 9 months d2 = 0.05477 Variance of stock return = 0.10 N(d1) = 0.62878 Strike price of option = $12 N(d2) = 0.52184 Risk-free rate = 7% According to the Black-Scholes option pricing model, what is the option's value? Do not round intermediate calculations. Round your answer to the nearest cent. Use only the values provided in the problem statement for your calculations. $
The current price of a stock is $34, and the annual risk-free rate is 3%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.12. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Do not round intermediate calculations. Round your answer to the nearest cent.
A call option is currently selling for $5.00. It has a strike price of $85 and ten months to maturity. A put option with the same strike price sells for $8.10. The risk-free rate is 4.6 percent and the stock will pay a dividend of $2.60 in three months. What is the current stock price? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Consider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and  = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .
Suppose that a stock price is currently 49 dollars, and it is known that one month from now, the price will be either 8 percent higher or 8 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 51 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 7 percent.
Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
A stock is currently priced at $63 and has an annual standard deviation of 43 percent. The dividend yield of the stock is 5.2 percent, and the risk - free rate is 5.2 percent. What is the value of a call option on the stock with a strike price of $60 and 48 days to expiration? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Call option $
Bha
A stock is currently priced at $61 and has an annual standard deviation of 41 percent. The dividend yield of the stock is 2.8 percent, and the risk-free rate is 4.8 percent. What is the value of a call option on the stock with a strike price of $58 and 52 days to expiration? (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Call option $
A stock trades for $46 per share. A call option on that stock has a strike price of $53 and an expiration date six months in the future. The volatility of the stock's returns is 45%, and the risk-free rate is 3%. What is the Black and Scholes value of this option? The Black and Scholes value of this call option is (Round to the nearest cent.)
The current price of a stock is $33, and the annual risk-free rate is 4%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.52. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Do not round intermediate calculations. Round your answer to the nearest cent.

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