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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 $920 million, which is taken as fixed. | |
3. | Forecasted cash inflows of the Mark II have a present value in 1985 of $827 million and $479 million (827 / 1.23 = 479) 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 39% per year. | |
5. | The annual interest rate is 8%.
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Interpretation | ||
The opportunity to invest in the Mark II is a three-year call option on an asset worth $479 million with an exercise price of $920 million. | ||
How does the value of the option to invest in the Mark II in 1982 change if:
c. The standard deviation of the Mark II's present value is only 24% (vs. 39%)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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