Annie Hegg has been considering investing in the bonds of Atilier Industries. The bonds were issued 5 years ago at their

$1,000 par value and have exactly   25 years remaining until they mature. They have an 8.0% coupon interest​ rate, are convertible into

50 shares of common​ stock, and can be called any time at $1,080.00. The bond is rated Aa by​ Moody's. Atilier​ Industries, a manufacturer of sporting​ goods, recently acquired a small​athletic-wear company that was in financial distress. As a result of the​ acquisition, Moody's and other rating agencies are considering a rating change for Atilier bonds. Recent economic data suggest that expected​ inflation, currently at 5.0% ​annually, is likely to increase to a

6.0% annual rate.

Annie remains interested in the Atilier bond but is concerned about​ inflation, a potential rating​ change, and maturity risk. To get a feel for the potential impact of these factors on the bond​value, she decided to apply the valuation techniques she learned in her finance course.

To Do

a. If the price of the common stock into which the bond is convertible rises to

$30.00 per share after

5 years and the issuer calls the bonds at

$1,080.00​, should Annie let the bond be called away from her or should she convert it into common​ stock?

b. For each of the following required​ returns, calculate the​ bond's value, assuming annual interest. Indicate whether the bond will sell at a​ discount, at a​ premium, or at par value.

​(1) Required return is

6.0 %

​(2) Required return is

8.0 %

​(3) Required return is

10.0 %

c. Repeat the calculations in part​(b​), assuming that interest is paid semiannually and that the semiannual required returns are​ one-half of those shown. Compare and discuss differences between the bond values for each required return calculated here and in part​(b​) under the annual versus semiannual payment assumptions.

d. If Annie strongly believes that expected inflation will rise by

1.0% during the next few​ months, what is the most she should pay for the​ bond, assuming annual​ interest?

e. If the Atilier bonds are downrated by​Moody's from Aa to​ A, and if such a rating change will result in an increase in the required return from

8.0% to

8.75%​, what impact will this have on the bond​ value, assuming annual​ interest?

f. If Annie buys the bond today at its

$1,000 par value and holds it for exactly

3 ​years, at which time the required return is

7.0%​, how much of a gain or loss will she experience in the value of the bond​ (ignoring interest already received and assuming annual​ interest)?

g. Rework part ​(f​), assuming that Annie holds the bond for

10 years and sells it when the required return is

7.0%. Compare your finding to that in part​(f​), and comment on the​ bond's maturity risk.

h. Assume that Annie buys the bond at its current price of

$983.80 and holds it until maturity. What will her current yield and yield to maturity​ (YTM) be, assuming annual​ interest?

i. After evaluating all of the issues raised​above, what recommendation would you give Annie with regard to her proposed investment in the Atilier Industries​ bonds?