Answered step by step
Verified Expert Solution
Link Copied!

Question

00
1 Approved Answer

[Q: 21-4653129] Black-Scholes Model. Consider a call option with the following characteristics: Stock price: $103.43 Exercise price: $85.56 Risk-free rate: 5.2%, compounded continuously Maturity: 198

image text in transcribed
image text in transcribed
[Q: 21-4653129] Black-Scholes Model. Consider a call option with the following characteristics: Stock price: $103.43 Exercise price: $85.56 Risk-free rate: 5.2%, compounded continuously Maturity: 198 days (assume there are 365 days in a year) Standard deviation of the stock returns: 35% Part A: Calculate the value of d1 in the Black-Scholes model. d1 : . (Round your answer to four decimal places and use the rounded value in Parts B and D ). Part B: Calculate the value of d2 in the Black-Scholes model. d2: (Round your answer to four decimal places and use the rounded value in Part C). Part C: Calculate the value of N(d1) in the Black-Scholes model. Hint: you're trying to find the area to the left of d1 under the standard normal distribution. N(d1). (Round your answer to four decimal places and use the rounded value in Part E). Part D: Calculate the value of N(d2) in the Black-Scholes model. Hint: you're trying to find the area to the left of d2 under the standard normal distribution. N(d2): (Round your answer to four decimal places and use the rounded value in Part E). Part E: Calculate the value of the call option under the Black-Scholes model. C: \$ (Round your answer to two decimal places). Part F: The intuition of the Black-Scholes model is that a call option has the same risk and payoff of a borrow and buy strategy. That's what allows us to price the call option. Using the rounded values you've calculated above, determine the borrow and buy strategy associated with this call. I.e., how much money was borrowed and how many shares were purchased (the delta of the call)? Delta of the call: (Round your answer to four decimal places). Amount borrowed: \$ . (Round your answer to two decimal places)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access with AI-Powered Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Students also viewed these Finance questions