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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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