Use the Black Scholes formulas and Excel (to avoid rounding errors in the final answers) to answer this question. Consider an option on a non-dividend-paying stock when the stock price is $44, the exercise price is $40, the risk-free interest rate is 6%, the volatility is 28% per annum, and the time to maturity is 4 months. (a) Find N(d1), enter answer to 3 decimal places. (b) Find N(d2),, enter answer to 3 decimal places. (c) What is the price of the option if it is a European call? Round answer to 3 decimal places. (d) What is the price of the option if it is a European put? Round answer to 3 decimal places.

Use the Black Scholes formulas and Excel (to avoid rounding errors in the final answers) to answer this question. Consider an option on a non-dividend-paying stock when the stock price is $44, the exercise price is $40, the risk-free interest rate is 6%, the volatility is 28% per annum, and the time to maturity is 4 months. (a) Find N(d1), enter answer to 3 decimal places. (b) Find N(d2),, enter answer to 3 decimal places. (c) What is the price of the option if it is a European call? Round answer to 3 decimal places. (d) What is the price of the option if it is a European put? Round answer to 3 decimal places.

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. If a stock costs $55 one month and drops to $45 the next month, what is the expected stock price the next month, if we assume the stock follows a random walk? B. Explain both technical and fundamental analysis and what form of the efficient market hypothesis corresponds to each.
Given the following information, predict the put option's new price after the stock's volatility changes. Initial put option price = $6 Initial volatility = 25% Vega = 13 New volatility = 18% (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂r
Assume that you hold a call option on stock A. The call has a strike price of 50 and expires in 6 months. Stock A pays no dividends. 1. What is the payoff from the call if stock A is trading at 57 in 6 months? 2. What is the payoff from the call if stock A is trading at 45 in 6 months? 3. Draw a payoff diagram that shows the payoff of the call as a function of the underlying stock price.
am. 118.
Assume the Black-Scholes framework. You are given: i. S(t) is the stock price at time t. ii. The stock's volatility is 25%. iii. The continuously compounded expected rate of return is 8%. iv. The stock pays dividends continuously at a rate of 3% proportional to its price. v. The continuously compounded risk-free interest rate is 4%. vi. The current stock price is S (0) 125. Calculate Pr (S (4) > 150 S (2) - 120). Possible Answers A. 0.30 0.40 C 0.65 D. 0.70 0.85
(Please type answer no write by hend)
Let S = $100, K = $95, \sigma = 30%, r = 8%, T = 1, and \delta = 0. For simplicity, let u = 1.3, d = 0.8 and n = 2 (that is, 2 periods). When constructing the binomial tree for the European call option, what is A (Stock Share Purchased in the replicating portfolio) at the first node (Time 0)? Question 11 options: 0.1789 0.3886 1.0000 0.2550 0.6912
3 You are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock - $77 price = Exercise price = $75 Risk-free rate = Option maturity = 5 months Standard deviation of annual stock returns Call price Put price $ $ 3.4% per year, compounded continuously = 59% per year 3.61 x 0.56 X 1
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Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26
b) Suppose you are given the following information: Current market price of a share= R200 000 Option’s exercise price = R300 000 Time until the option expires= 5 yrs Risk free rate =4% Standard deviation of the returns on the share= 0.35 Required: i. Calculate d1 and d2 ii. Suppose N(d1) =0.7517 and N(d2) =0.4602; calculate the price of the call option on the share

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