Question

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 %6.0%.

​(2) Required return is

8.0 %8.0%.

​(3) Required return is

10.0 %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?

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?

The value of the stock if the bond is converted is ________ (Round to the nearest​ cent.)

​

which one is correct ?

A. Annie should convert the bonds because the value of the shares is

$ 1, 500.00 greater than 1,080.00$1,500.00>$1,080.00.

B.

Annie should not convert the bonds because the value of the shares is

$ 1,500.00 greater than $ 1,080.00$1,500.00>$1,080.00.

C.

Annie should not convert the bonds because the value of the shares is

$ 1,500.00 less than $ 1,080.00$1,500.00<$1,080.00.

D.

Annie should convert the bonds because the value of the shares is

$ 1,500.00 less than $ 1,080.00$1,500.00<$1,080.00.

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%.

The​ bond's value will be ____

(Round to the nearest​ cent.)

The bond would selling at ( a premium, a discount or par value) ?

​(2) Required return is 8.0%.

The​ bond's value will be _____

​(Round to the nearest​ cent.)

The bond would selling at (a premium,a discount orpar value) ?

.

Answer 1

You have asked so many questions in the same post. On top of this, some of the questions have sub parts as well. I have addressed all the sub parts of the first three questions. Please post the balance questions separately.

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?

One bond is convertible into 50 shares. Hence value on conversion into equity = N x P = 50 x 30 = $ 1,500 > 1,080 = call price. Annie should convert the bond into equity.

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.

Bond value = -PV (Rate, Nper, PMT, FV)

Sl. No.	Required return	Annual coupon	Years to maturity	Frequency in a year	Rate	Nper	PMT	FV	Value of the bond	Discount or premium
	Y	C	N	F	Y / F	N x F	C/F x FV		PV
1	6%	8%	25.00	1.00	6.00%	25.00	80.00	1,000.00	$1,255.67	Premium
2	8%	8%	25.00	1.00	8.00%	25.00	80.00	1,000.00	$1,000.00	Par
3	10%	8%	25.00	1.00	10.00%	25.00	80.00	1,000.00	$818.46	Discount

c. Repeat the calculations in part (b​) under the annual versus semiannual payment assumptions.

Sl. No.	Required return	Annual coupon	Years to maturity	Frequency in a year	Rate	Nper	PMT	FV	Value of the bond	Discount or premium
	Y	C	N	F	Y / F	N x F	C/F x FV		PV
1	6%	8%	25.00	2.00	3.00%	50.00	40.00	1,000.00	$1,257.30	Premium
2	8%	8%	25.00	2.00	4.00%	50.00	40.00	1,000.00	$1,000.00	Par
3	10%	8%	25.00	2.00	5.00%	50.00	40.00	1,000.00	$817.44	Discount

When the bond is trading in premium, the price under semi annual compounding is slightly better than that under annual compounding. When the bond is trading in discount, the price under semi annual compounding is slightly worse off.

Please post the balance questions separately.