(Bond valuation relationships) The 12-year, $1 comma 000 par value bonds of Waco Industries pay 11 percent interest annually. The market price of the bond is $1 comma 095, and the market's required yield to maturity on a comparable-risk bond is 8 percent. a. Compute the bond's yield to maturity. b. Determine the value of the bond to you given the market's required yield to maturity on a comparable-risk bond. c. Should you purchase the bond?
Question
(Bond valuation relationships) The 12-year, 1 comma 095, and the market's required yield to maturity on a comparable-risk bond is 8 percent. a. Compute the bond's yield to maturity. b. Determine the value of the bond to you given the market's required yield to maturity on a comparable-risk bond. c. Should you purchase the bond?
Solution
a. To compute the bond's yield to maturity, we need to solve for YTM in the bond pricing formula:
P = [C * (1 - (1 + r)^-n) / r] + [FV / (1 + r)^n]
Where: P = price of the bond = 1,000 * 11% = 1,000
By plugging the known values into the formula and solving for r, we can find the YTM. However, this is a complex calculation that typically requires a financial calculator or software.
b. To determine the value of the bond given the market's required yield to maturity on a comparable-risk bond, we can use the same bond pricing formula, but this time we know the YTM (r = 8%).
P = [C * (1 - (1 + r)^-n) / r] + [FV / (1 + r)^n] P = [1,000 / (1 + 0.08)^12]
Again, this calculation typically requires a financial calculator or software.
c. Whether you should purchase the bond depends on the comparison between the bond's calculated price (from part b) and its market price. If the calculated price is higher than the market price, the bond is undervalued and it would be a good purchase. If the calculated price is lower than the market price, the bond is overvalued and it would not be a good purchase.
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