Question

In: Finance

In early January 2010​, you purchased $24,000 worth of some​ high-grade corporate bonds. The bonds carried...

In early January 2010​, you purchased $24,000 worth of some​ high-grade corporate bonds. The bonds carried a coupon of 6.5 % and mature in 2024. You paid 96.086 when you bought the bonds. Over the five years from 2010through 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 96.086 102.673 7.30%
2011 102.673 104.365 11.72%
2012 104.365 107.129 -6.89%
2013 107.129 111.853 7.90%
2014 111.853 121.618 9.11%

Coupon payments were made on schedule throughout the​ 5-year period.

a. Find the annual holding period returns for 2010 through 2014. ​(See Chapter 5 for the HPR​ formula.)

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.

a. The holding period return for 2010 is ? %. ​(Round to two decimal​ places.)

The holding period return for 2011 is ?​%. ​(Round to two decimal​ places.)

The holding period return for 2012 is ?%. ​(Round to two decimal​ places.)

The holding period return for 2013 is ?​%. (Round to two decimal​ places.)

The holding period return for 2014 is ?%. ​(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.  ​(Select the best choice​ below.)

a.The​ high-grade corporate bond investment has outperformed the market. The average rate of return for the investment is 11.10 ​% versus the average market rate of 5.83​%.

b. The market has outperformed the corporate bond investment. The average rate of return for the investment is 5.83% versus the average market rate of 11.10​%

Solutions

Expert Solution

Holding period return over a period =

(Period Ending price - Period beginning price + coupons received during the period) / Period beginning price

All the quoted prices are % of Face Value of $ 1,000 and coupon is 6.5% of FV of $ 1,000

We can keep the scale common as % of face value in all the calculations below.

a. Find the annual holding period returns for 2010 through 2014. ​(See Chapter 5 for the HPR​ formula.)

The holding period return for 2010 is ? %. ​(Round to two decimal​ places.)

HPR for 2010 = (102.673 - 96.086 + 6.5) / 96.086 = 13.62%

The holding period return for 2011 is ?​%. ​(Round to two decimal​ places.)

HPR for 2011 = (104.365 - 102.673 + 6.5) / 102.673 = 7.98%

The holding period return for 2012 is ?%. ​(Round to two decimal​ places.)

HPR for 2012 = (107.129 - 104.365 + 6.5) / 104.365 = 8.88%

The holding period return for 2013 is ?​%. (Round to two decimal​ places.)

HPR for 2013 = (111.853 - 107.129 + 6.5) / 107.129 = 10.48%

The holding period return for 2014 is ?%. ​(Round to two decimal​ places.)

HPR for 2014 = (121.618 - 111.853 + 6.5) / 111.853 = 14.54%

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.

Correct answer is option a.The​ high-grade corporate bond investment has outperformed the market. The average rate of return for the investment is 11.10 ​% versus the average market rate of 5.83​%.

Average return = average of all the returns calculated in part (a) above = (13.62% + 7.98% + 8.88% + 10.48% + 14.54%) / 5 = 11.10%

This is better than the market return of 5.83%. The​ high-grade corporate bond investment has outperformed the market.


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