Question
Rearden Metal can invest in a risk-free technology that requires an up-front investment of $1 million. Rearden's managers are hesitant to invest because of uncertainty
Rearden Metal can invest in a risk-free technology that requires an up-front investment of $1 million. Rearden's managers are hesitant to invest because of uncertainty over future interest rates. Suppose that all interest rates will be either 8% or 4% in one year and remain there forever. The risk-neutral probability that interest rates will drop to 4% is 40%. The one-year risk-free interest rate is 5% and today's rate on a risk-free perpetual bond is 6%. The rate on an equivalent perpetual bond that is repayable at any time (the callable annuity rate) is 7.65%.
Q. Assuming that this project will provide Rearden with perpetual annual cash flows of $55,000, the NPV of investing in the project today is closest to:
A. | -$281,000. | |
B. | -$150,000. | |
C. | -$83,000. | |
D. | +$83,000. | |
E. | +$281,000 |
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