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You just purchased a bond that matures in 15 years. The bond has a face value of $1,000 and has an 8% annual coupon. The bond has a current yield of 8.37%. What is the bond's yield to maturity? Do not round intermediate calculations. Round your answer to two decimal places.

User Gary Evans
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Final answer:

To calculate the yield to maturity of a bond, use the formula for present value of a bond and solve for r. In this case, the bond's yield to maturity is 0 or 0%.

Step-by-step explanation:

To calculate the yield to maturity of a bond, we need to use the formula for present value of a bond:

PV = C/(1+r)^1 + C/(1+r)^2 + ... + C/(1+r)^n + F/(1+r)^n

Where PV is the current price of the bond, C is the annual coupon payment, r is the yield to maturity, n is the number of years until maturity, and F is the face value of the bond. In this case, we know all of the values except r, so we can rearrange the formula and solve for r:

r = (C/F) x [1 - (PV/F)^(1/n)]

Substituting the given values, we have r = (80/1000) x [1 - (1000/1000)^(1/15)] = 0.08 x (1 - 1) = 0.08 x 0 = 0

Therefore, the bond's yield to maturity is 0 or 0%.

User Katzoft
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