Question

Write the appropriate python code to calculate the implied volatility of European call/put option prices. Test your code for the following option. The market price of the AAPL put option is 5.7, where the strike price is 139, current price is 140 and risk free rate is 5% per annum, the time to maturity is one month. Calculate the implied volatility of the option using your python function. 

          Write the appropriate python code to calculate the implied volatility of European call/put option prices. Test your code for the following option. The market price of the AAPL put option is 5.7, where the strike price is 139, current price is 140 and risk free rate is 5% per annum, the time to maturity is one month. Calculate the implied volatility of the option using your python function.
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Horngren’s Cost Accounting
Horngren’s Cost Accounting
Srikant M. Datar, Madhav V. Rajan 16th Edition
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Write the appropriate python code to calculate the implied volatility of European call/put option prices. Test your code for the following option. The market price of the AAPL put option is 5.7, where the strike price is 139, current price is 140 and risk free rate is 5% per annum, the time to maturity is one month. Calculate the implied volatility of the option using your python function.
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a) A stock is currently trading at $50; its annual volatility is 0.40, the risk-free interest rate is 15% per annum with continuous compounding, and Δt is equal to three months. Use the binomial model to answer the following questions: Calculate the price of a 6-month European put option with an exercise price of $105 written on this stock. (5 marks) Calculate the price of a 6-month American put option with an exercise price of $105 written on this stock. (5 marks) b) Answer the following questions: i. Explain in detail how volatility affects the values of call and put options. (10 marks) ii. Explain how one can measure the impact of changes in volatility on option prices. (5 marks)

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Transcript

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00:01 A stock is currently trading at $50 and its annual volatility is 0 .040.
00:09 So the price is $50 and the volatility is 0 .40.
00:24 The risk free interest rate is 15 % per annum.
00:28 We continue spending and at an t is equal to three months.
00:34 So we are to use the binomial model to answer the questions.
00:37 Calculate the price of a 6 month european put option with exercise price of $105 written on the stock.
00:46 Calculate the price of a 6 month american put option with exercise price of $105.
00:53 So in this case, the price is $50 and k is equal to $105.
01:01 R is 15 % which is 0 .15...
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