Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Please Show all work and formulas In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The

image text in transcribedPlease Show all work and formulas

In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The Black-Scholes option pricing model with dividends is: C=S x e-dt N (d) E x e-Rt * N (d2) di = [In(S/E) + (R- d+ 02 / 2) x t] (o VE) d2 = d - 0 X VE All of the variables are the same as the Black-Scholes model without dividends except for the variable d, which is the continuously compounded dividend yield on the stock. A stock is currently priced at $85 per share, the standard deviation of its return is 42 percent per year, and the risk-free rate is 4 percent per year, compounded continuously. What is the price of a call option with a strike price of $81 and a maturity of six months if the stock has a dividend yield of 2 percent per year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Price of call option

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored 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

Recommended Textbook for

School Finance A Policy Perspective

Authors: Allan Odden, Lawrence Picus

6th Edition

1259922316, 9781259922312

More Books

Students also viewed these Finance questions