Unit Assignment BBA 3301 (Bond valuation), business and finance homework help

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Question 1: (10 points). (Bond
valuation) Calculate the value of a bond that matures in 12 years and has
$1,000 par value. The annual coupon interest rate is 9 percent and the market’s
required yield to maturity on a comparable-risk bond is 12 percent. Round to the
nearest cent.

The
value of the bond is

Question 2: (10 points). (Bond
valuation) Enterprise, Inc. bonds have an annual coupon rate of 11 percent. The
interest is paid semiannually and the bonds mature in 9 years. Their par value
is $1,000. If the market’s required yield to maturity on a comparable-risk bond
is 14 percent, what is the value of the bond? What is its value if the interest
is paid annually and semiannually? (Round to the nearest cent.)

a.
The value of the Enterprise bonds if the interest is paid semiannually is

$

b.
The value of the Enterprise bonds if the interest is paid annually is

$

Question 3: (10 points). (Yield
to maturity) The market price is $750 for a 20-year bond ($1,000 par value)
that pays 9 percent annual interest, but makes interest payments on a
semiannual basis (4.5 percent semiannually). What is the bond’s yield to
maturity? (Round to two decimal places.)

The
bond’s yield to maturity is

%

Question 4: (10 points). (Yield
to maturity) A bond’s market price is $950. It has a $1,000 par value, will
mature in 14 years, and has a coupon interest rate of 8 percent annual
interest, but makes its interest payments semiannually. What is the bond’s
yield to maturity? What happens to the bond’s yield to maturity if the bond
matures in 28 years? What if it matures in 7 years? (Round to two decimal places.)

The
bond’s yield to maturity if it matures in 14 years is

%

The
bond’s yield to maturity if it matures in 28 years is

%

The
bond’s yield to maturity if it matures in 7 years is

%

Question 5: (15 points). (Bond valuation
relationships) Arizona Public Utilities issued a bond that pays $70 in interest,
with a $1,000 par value and matures in 25 years. The markers required yield to
maturity on a comparable-risk bond is 8 percent. (Round to the nearest cent.) For
questions with two answer options (e.g. increase/decrease) choose the best
answer and write it in the answer block.

Question

Answer

a.
What is the value of the bond if the markers required yield to maturity on a
comparable-risk bond is 8 percent?

$

b.
What is the value of the bond if the markers required yield to maturity on a
comparable-risk bond increases to 11 percent?

$

c.
What is the value of the bond if the market’s required yield to maturity on a
comparable-risk bond decreases to 7 percent?

$

d.
The change in the value of a bond caused by changing interest rates is called
interest-rate risk. Based on the answer: in parts b and c, a decrease in
interest rates (the yield to maturity) will cause the value of a bond to
(increase/decrease):

By
contrast in interest rates will cause the value to (increase/decrease):

Also,
based on the answers in part b, if the yield to maturity (current interest
rate) equals the coupon interest rate, the bond will sell at (par/face
value):

exceeds
the bond’s coupon rate, the bond will sell at a (discount/premium):

and
is less than the bond’s coupon rate, the bond will sell at a
(discount/premium):

e.
Assume the bond matures in 5 years instead of 25 years, what is the value of
the bond if the yield to maturity on a comparable-risk bond is 8 percent? $
960.07 Assume the bond matures in 5 years instead of 25 years, what is the
value of the bond if the yield to maturity on a comparable-risk bond is 11
percent?

$

f.
Assume the bond matures in 5 years instead of 25 years, what is the value of
the bond if the yield to maturity on a comparable-risk bond is 7 percent?

$

g.
From the findings in part e, we can conclude that a bondholder owning a
long-term bond is exposed to (more/less) interest-rate risk than one owning a
short-term bond.

Question
6:
(5 points). (Measuring
growth) If Pepperdine, Inc.’s return on equity is 14 percent and the management
plans to retain 55 percent of earnings for investment purposes, what will be
the firm’s growth rate? (Round to two decimal places.)

The
firm’s growth rate will be

7.70

%

Question 7: (10 points). (Common stock
valuation) The common stock of NCP paid $1.29 in dividends last year. Dividends
are expected to grow at an annual rate of 6.00 percent for an indefinite number
of years. (Round to the nearest cent.)

a.
If your required rate of return is 8.70 percent, the value of the stock for
you is:

$

b.
You (should/should not) make the investment if your expected value of the
stock is (greater/less) than the current market price because the stock would
be undervalued.

Question 8: (10 points). (Measuring growth)
Given that a firm’s return on equity is 22 percent and management plans to
retain 37 percent of earnings for investment purposes, what will be the firm’s
growth rate? If the firm decides to increase its retention rate, what will
happen to the value of its common stock? (Round to two decimal places.)

a.
The firm’s growth rate will be:

8.14%

b.
If the firm decides to increase its retention ratio, what will happen to the
value of its common stock? An increase in the retention rate will (increase/decrease)
the rate of growth in dividends, which in turn will (increase/decrease) the
value of the common stock.

Question 9: (10 points). (Relative valuation
of common stock) Using the P/E ratio approach to valuation, calculate the value
of a share of stock under the following conditions:

  • the
    investor’s required rate of return is 13 percent,

  • the
    expected level of earnings at the end of this year (E1) is $8,

  • the
    firm follows a policy of retaining 40 percent of its earnings,

  • the
    return on equity (ROE) is 15 percent,
    and

  • similar
    shares of stock sell at multiples of 8.571 times earnings per share.

Now
show that you get the same answer using the discounted dividend model. (Round to the
nearest cent.)

a.
The stock price using the P/E ratio valuation method is:

$

b.
The stock price using the dividend discount model is:

$

Question 10: (10 points) (Preferred
stock valuation) Calculate the value of a preferred stock that pays a dividend
of $8.00 per share when the market’s required yield on similar shares is 13
percent. (Round
to the nearest cent.)

a.
The value of the preferred stock is

$

Per
share

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