The value of an option can be calculated by using a step-by-step approach in the case of single periods or by using sophisticated formulas that can be easily created through a spreadsheet. In the real world, two possible outcomes for a stock price in six months is an assumption. The stock markets are volatile, and stocks move up and down based on market- and firm-specific factors. Consider the case of Toronto Cell Inc.: Shares of Toronto Cell Inc., a manufacturer of cell phones, sell for $30.00. Existing options allow for the option holder to purchase one additional share at an exercise price of $25.00. (Assume that you get the option for free!) The option will expire within one year. Assume that at that time there will be an 80% chance that Toronto Cell Inc. shares will sell for $45.00 and a 20% chance that the shares will be selling at $20.00. Based on the binomial approach, the expected end-term share price and return on Toronto Cell Inc. shares are: Based on the binomial approach, the range of payoff values at expiration for Toronto Cell Inc.'s shares and options is:
The value of an option can be calculated by using a step-by-step approach in the case of single periods or by using sophisticated formulas that can be easily created through a spreadsheet. In the real world, two possible outcomes for a stock price in six months is an assumption. The stock markets are volatile, and stocks move up and down based on market- and firm-specific factors. Consider the case of Toronto Cell Inc.: Shares of Toronto Cell Inc., a manufacturer of cell phones, sell for $30.00. Existing options allow for the option holder to purchase one additional share at an exercise price of $25.00. (Assume that you get the option for free!) The option will expire within one year. Assume that at that time there will be an 80% chance that Toronto Cell Inc. shares will sell for $45.00 and a 20% chance that the shares will be selling at $20.00. Based on the binomial approach, the expected end-term share price and return on Toronto Cell Inc. shares are: Based on the binomial approach, the range of payoff values at expiration for Toronto Cell Inc.'s shares and options is:
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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5. Option pricing - Single-period binomial approach
The value of an option can be calculated by using a step-by-step approach in the case of single periods or by using sophisticated formulas that can be
easily created through a spreadsheet. In the real world, two possible outcomes for a stock price in six months is an assumption. The stock markets are
volatile, and stocks move up and down based on market- and firm-specific factors.
Consider the case of Toronto Cell Inc.:
Shares of Toronto Cell Inc., a manufacturer of cell phones, sell for $30.00. Existing options allow for the option holder to purchase one
additional share at an exercise price of $25.00. (Assume that you get the option for free!) The option will expire within one year. Assume
that that time there will be an 80% chance that Toronto Cell Inc.
ance that the sha I will be
will sell for $45.00 and a 20%
selling at $20.00.
Based on the binomial approach, the expected end-term share price and return on Toronto Cell Inc. shares are:
Based on the binomial approach, the range of payoff values at expiration for Toronto Cell Inc.'s shares and options is:
O $15.00 (share) and $35.00 (option)
O $28.00 (share) and $26.00 (option)
O $25.00 (share) and $20.00 (option)
O $25.00 (share) and $45.00 (option)
Given this information, it is possible to create a riskless portfolio by buying
shares and selling one call option.
Assuming that the risk-free rate is 8% and is compounded daily, current option price (Vc) of the call option is
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