In early January 2010, you purchased $49,000 worth of some high-grade corporate bonds. The bonds carried a coupon of 5 3/8 % and mature in 2024. You paid 95.996 when you bought the bonds. Over the five years from 2010 through 2014, the bonds were priced in the market as follows:
| Quoted Prices (% of $1,000 par value) | |||
| Year | Beginning of the Year |
End of the Year |
Average Holding Period Return on High-Grade Corporate Bonds |
| 2010 | 95.996 | 103.023 | 7.30% |
| 2011 | 103.023 | 104.743 | 11.72% |
| 2012 | 104.743 | 106.876 | -6.89% |
| 2013 | 106.876 | 115.304 | 7.90% |
| 2014 | 115.304 | 125.342 | 9.11% |
Coupon payments were made on schedule throughout the 5-year period.
a. Find the annual holding period returns for 2010 through 2014. (Use HPR Formula) (Round to two decimal places.)
b. Use the average return information in the given table to evaluate the investment performance of this bond. How do you think it stacks up against the market? Explain.
Answer a.
| Year | Beginning stock price | Ending stock price | Annual interest income | HPR = (Ending - Beginning Stock Price + Annual interest income)/Beginning stock price |
| 2010 | 95.996 | 103.023 | 5.375 | 12.92% |
| 2011 | 103.023 | 104.743 | 5.375 | 6.89% |
| 2012 | 104.743 | 106.876 | 5.375 | 7.17% |
| 2013 | 106.876 | 115.304 | 5.375 | 12.91% |
| 2014 | 115.304 | 125.342 | 5.375 | 13.37% |
Answer b.
Average rate of return = [12.92 + 6.89 +7.17 + 12.91 + 13.37 ] / 5
Average rate of return = 10.65%
Market rate of return = [7.30 + 11.72 +7.90 + 9.11 - 6.89 ] / 5 = 5.83%
We can say that the bond has outperformed the market; as the average rate of return for bond investment appears to be 10.65% versus the average market rate of 5.83%.
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Please help! Thank you!
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