A stock has a beginning market value of $70. It can either increase in value 30% each year or decrease in value by 30%. A 3-year European call option written on the stock has an exercise price of $70. The risk-free rate of return is 5% per year. What is the current equilibrium price of the call option if you maintain a riskless portfolio by readjusting your relative positions in stocks and puts t the end of each year? Please operate with 2 decimals, show all work, and choose the closest answer. MAKE SURE TO WORKOUT CLEARLY THE STEPS TO AVOID S0% PENALTY.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
Problem 1P
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A stock has a beginning market value of S70. It can either increase in value 30% each year or decrease in value by
30%. A 3-year European call option written on the stock has an exercise price of $70. The risk-free rate of retum is 5%
per year. What is the current equilibrium price of the call option if you maintain a riskless portfolio by readjusting your
relative positions in stocks and puts t the end of cach year?
Please operate with 2 decimals, show all work, and choose the closest answer. MAKE SURE TO WORKOUT
CLEARLY THE STEPS TO AVOID 50% PENALTY.
30.2
15.3
O 25.2
19.1
Transcribed Image Text:A stock has a beginning market value of S70. It can either increase in value 30% each year or decrease in value by 30%. A 3-year European call option written on the stock has an exercise price of $70. The risk-free rate of retum is 5% per year. What is the current equilibrium price of the call option if you maintain a riskless portfolio by readjusting your relative positions in stocks and puts t the end of cach year? Please operate with 2 decimals, show all work, and choose the closest answer. MAKE SURE TO WORKOUT CLEARLY THE STEPS TO AVOID 50% PENALTY. 30.2 15.3 O 25.2 19.1
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