Question
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
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 $1,000 million, which is taken as fixed. | |
3. | Forecasted cash inflows of the Mark II have a present value in 1985 of $907 million and $525 (907 / 1.23 = 525) million 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 10%.
| |
Interpretation | ||
The opportunity to invest in the Mark II is a three-year call option on an asset worth $525 million with an exercise price of $1,000 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 $900 million (vs. $1,000 million)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Option value $
b. The present value of the Mark II is 1982 is $600 million (vs. $525 million)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Option value $
c. The standard deviation of the Mark II's present value is only 29% (vs. 44%)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Option value $
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