The stock price 2 months from the expiration of a European option is $99, the exercise price of the option is $61, the dividend yield is 4% per annum, the risk-free interest rate is 18% per annum, and the volatility is 38% per annum. Use the Black-Scholes-Merton formula to find the price of this call option. 4) 38.15 (В) 36.15 (С) 39.15 (D) 35.15 (E) 37.15 Select v Save The stock price 7 months from the expiration of a European option is $90, the exercise price of the option is $131, the dividend yield is 6% per annum, the risk-free interest rate is 14% per annum, and the volatility is 19% per annum. Use the Black-Scholes-Merton formula to find the price of this put option. A) 29.88 (B) 33.88 (C) 30.88 (D) 32.88 (E) 31.88

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter5: Currency Derivatives
Section: Chapter Questions
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The stock price 2 months from the expiration of a European option is $99, the exercise price of the option is
$61, the dividend yield is 4% per annum, the risk-free interest rate is 18% per annum, and the volatility is 38%
per annum. Use the Black-Scholes-Merton formula to find the price of this call option.
4) 38.15 (В) 36.15 (С) 39.15 (D) 35.15 (E) 37.15
Select v
Save
The stock price 7 months from the expiration of a European option is $90, the exercise price of the option is
$131, the dividend yield is 6% per annum, the risk-free interest rate is 14% per annum, and the volatility is 19%
per annum. Use the Black-Scholes-Merton formula to find the price of this put option.
A) 29.88 (B) 33.88 (C) 30.88 (D) 32.88 (E) 31.88
Transcribed Image Text:The stock price 2 months from the expiration of a European option is $99, the exercise price of the option is $61, the dividend yield is 4% per annum, the risk-free interest rate is 18% per annum, and the volatility is 38% per annum. Use the Black-Scholes-Merton formula to find the price of this call option. 4) 38.15 (В) 36.15 (С) 39.15 (D) 35.15 (E) 37.15 Select v Save The stock price 7 months from the expiration of a European option is $90, the exercise price of the option is $131, the dividend yield is 6% per annum, the risk-free interest rate is 14% per annum, and the volatility is 19% per annum. Use the Black-Scholes-Merton formula to find the price of this put option. A) 29.88 (B) 33.88 (C) 30.88 (D) 32.88 (E) 31.88
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Step 1

Black - scholes option pricing model is used to estimate the fair value cost of option under a given set of conditions. this model is very useful for the investor to perfectly hedge all the options risk by buying and selling option over time. In this model there is no opportunity for the arbitrage and derived only the fair value of option price. , Pricing an options contract using the Black-Scholes model requires many assumptions and the relevant data of the stock such spot price, strike price, dividend yield, interest rate and volatility.

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