Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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What is the price of a $25 strike call? Assume S = $23.50, σ = 0.24, r = 0.055, the stock
pays a 2.5% continuous dividend and the option expires in 45 days
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- Problem 1. Assume that the interest rate is 5%, contimuously compounded annually, and consider call and put options of both American and European style expiring in 6 months on non-dividend paying stock. For each of the following scenarios, check if you can find an arbitrage opportunity and, if you can, describe it: (i) The strike price of a European put option is $3 and the option is traded at $4. (ii) The shares are traded at $3 and the American call option is traded at $3.20.arrow_forwardSuppose ABC's stock price is currently $25. In the next six months it will either fall to $15 or rise to $40. What is the current value of a six-month call option with an exercise price of $20? The six-month risk-free interest rate is 5% (periodic rate). [Use the riskneutral valuation method]A. $20.00 B. $8.57 C. $9.52 D. $13.10arrow_forwardD4) 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.arrow_forward
- 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.arrow_forwardAssume a stock trades at $109, the volatility of the stock is 21%, and the risk - free interest rate is 4.4%. What is the Gamma of a $107 strike call option expiring in 120 days if the spot price of the stock increases by $1? Please answer to 2 decimal places. answer is.03 pleasearrow_forwardAssume that a stock trading for $30 today will be worth either $25 or $35 in two years. A risk-free asset offers an annualized 3% return (continuously compounded) over that time period. • What is the price today of a two-year put option on this stock with a strike price of $32? The maximum error is 0.1. O a. 1.52 O b. 2.47 O c. 1.82 O d. None of these answers O e. 2.07arrow_forward
- D3)arrow_forwardA non-dividend-paying stock is currently selling for $50, and the risk-free rate of interest is 8% per annum with continuous compounding for all maturities. An investor has just taken a short position in a six-month forward contract on the stock. a. What is the forward price? (sample answer: $25.45) b. What is the initial value of the forward contract? (sample answer: $25.45) c. Three months later, the price of the stock is $48 and the risk-free rate is still 8% per annum. What is the forward price now? (sample answer: $25.45) What is the value of the short position in the forward contract? (sample answer: $25.45 or -$25.45arrow_forwardThe current price of a non-dividend paying stock is $30. Use a two-step tree to value a European put option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, the risk free rate is 896, and u = 1.1 and d = 0.9. O $2.24 $2.44 $2.64 $2.84arrow_forward
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