1. The decision to invest in the Mark II must be made after three years, in 1985. 2. The Mark II has an investment requirement of $945 million, which is taken as fixed. 3. Forecasted cash inflows of the Mark II have a present value in 1985 of $852 million and $493 million (852/ 1.23 493) in 1982. 4.The future value of the Mark II cash flows is highly uncertain. This value evolves as a stock price does with a standard deviation of 44% per year. 5. The annual interest rate is 8%. Interpretation. The opportunity to invest in the Mark II is a three-year call option on an asset worth $493 million with an exercise price of $945 million. How does the value of the option to invest in the Mark II in 1982 change if: a. The investment required for the Mark II is $845 million (vs. $945 million)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Option value

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
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Assumptions
1. The decision to invest in the Mark II must be made after three years, in 1985.
2. The Mark II has an investment requirement of $945 million, which is taken as
fixed.
3. Forecasted cash inflows of the Mark II have a present value in 1985 of $852 million
and $493 million (852 / 1.2- 493) in 1982.
4. The future value of the Mark II cash flows is highly uncertain. This value evolves
as a stock price does with a standard deviation of 44% per year.
5. The annual interest rate is 8%.
Interpretation
The opportunity to invest in the Mark II is a three-year call option on an asset
worth $493 million with an exercise price of $945 million.
How does the value of the option to invest in the Mark II in 1982 change if:
a. The investment required for the Mark II is $845 million (vs. $945 million)? (Do not round intermediate calculations. Round your
ans
to 2 decimal places.)
Option value
b. The present value of the Mark Il in 1982 is $545 million (vs. $493 million)? (Do not round intermediate calculations. Round your
answer to 2 decimal places.)
Option value
Transcribed Image Text:Assumptions 1. The decision to invest in the Mark II must be made after three years, in 1985. 2. The Mark II has an investment requirement of $945 million, which is taken as fixed. 3. Forecasted cash inflows of the Mark II have a present value in 1985 of $852 million and $493 million (852 / 1.2- 493) in 1982. 4. The future value of the Mark II cash flows is highly uncertain. This value evolves as a stock price does with a standard deviation of 44% per year. 5. The annual interest rate is 8%. Interpretation The opportunity to invest in the Mark II is a three-year call option on an asset worth $493 million with an exercise price of $945 million. How does the value of the option to invest in the Mark II in 1982 change if: a. The investment required for the Mark II is $845 million (vs. $945 million)? (Do not round intermediate calculations. Round your ans to 2 decimal places.) Option value b. The present value of the Mark Il in 1982 is $545 million (vs. $493 million)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Option value
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