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A Firm Wishes to Issue a Perpetual Callable Bond

Question 46

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A firm wishes to issue a perpetual callable bond. The current interest rate is 9%. Next year, there is a 40% chance that the interest rate will be 5% and a 60% chance that the rate will be 13.3333%. The bond is callable at $1,090, and it will be called if the interest rate drops to 5%.
What is the bond's value today if the coupon is set at $100?

Correct Answer:

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[($1,090 + $100).4 +...

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