Question

Assumptions 1. The decision to invest in the Mark II must be made after three years,...

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 $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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