Homework Assignment 3
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Florida Atlantic University *
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Subject
Finance
Date
Feb 20, 2024
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docx
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HOMEWORK – Long-Term Debt and Equity Financing – Version A
Directions – HOMEWORK – Long-Term Debt Financing
Please try your best on these answers. The more you work on these the better off you will be for the test!
If the answer is a percent - then please express it with the percentage sign and rounded-up to one-
decimal. For example, if you got 7.89 as a percent - you would need to express it as 7.9%. If you got negative 7.89% you would need to express it as (7.9%).
1.
Assumes Venture Healthcare sold bonds that have a ten-year maturity, a 12 percent coupon rate with annual payments, and a $1,000 par value. What would be the bonds value? Hint: Watch the Homework Hint video to figure out how to calculate this using Excel. Choice: $750 Choice: $1,000
Choice: $1,500
Choice: $2,000
2.
Assume that two years after the Venture Healthcare bonds (ten-year maturity, a 12 percent coupon rate with annual payments, and a $1,000 par value) were issued, the required interest rate fell to 7%. What would be the bonds value? Hint: Watch the Homework Hint video to figure out how to calculate this using Excel. Choice: $750.98 Choice: $1,000.00
Choice: $1,298.56
Choice: $1,457.30
3.
Assume that two years after the Venture Healthcare bonds (ten-year maturity, a 12 percent coupon rate with annual payments, and a $1,000 par value) were issued, the required interest rate fell to 13%. What would be the bonds value? Hint: Watch the Homework Hint video to figure out how to calculate this using Excel. Choice: $887.24
Choice: $952.01
Choice: $1,000.00
Choice: $1,357.40
HOMEWORK – Long-Term Debt and Equity Financing – Version A
4.
Tidewater Home Health Care, Inc., has a bond issue outstanding with eight years remaining to maturity, a coupon rate of 10% with interest paid annually, and a par value of $1,000. The current market price of the bonds is $1,251.22. What is the bond’s yield to maturity? Choice: 4.50%
Choice: 5.23%
Choice: 5.00%
Choice: 5.96%
5.
Tidewater Home Health Care, Inc., has a bond issue outstanding with eight years remaining to maturity, a coupon rate of 10% with interest paid semi-annually
, and a par value of $1,000. The current market price of the bonds is $1,251.22. What is the bond’s yield to maturity? Choice: 2.5%
Choice: 5.0%
Choice: 6.0%
Choice: 100%
6.
Minneapolis Health System has bonds outstanding that have four years remaining to maturity, a coupon interest rate of 9% paid annually, and a $1,000 par value. What is the yield to maturity on the issue if the current market price is $829?
Choice: 10.00%
Choice: 12.87%
Choice: 14.99%
Choice: 23.45%
7.
Minneapolis Health System has bonds outstanding that have four years remaining to maturity, a coupon interest rate of 9% paid annually, and a $1,000 par value. What is the yield to maturity on the issue if the current market price is $1,104?
Choice: 6.00%
Choice: 8.00%
Choice: 10.00%
Choice: 12.00%
HOMEWORK – Long-Term Debt and Equity Financing – Version A
8.
Minneapolis Health System has bonds outstanding that have four years remaining to maturity, a coupon interest rate of 9% paid annually, and a $1,000 par value. Would you be willing to buy one of these bonds for $829 if you required a 12% rate of return on the issue?
Choice: Yes
Choice: No
9.
Regal Health Plans issued a 12% annual coupon bond with a $1,000 par value a few years ago. The bond now has ten years remaining to maturity and sells for $1,100. The bond has a call provision that allows Regal to call the bond in four years at a call price of $1,060. What is the bond’s yield to maturity?
Choice: 8.32%
Choice: 9.00%
Choice: 9.87%
Choice: 10.35%
10. Regal Health Plans issued a 12% annual coupon bond with a $1,000 par value a few years ago. The bond now has ten years remaining to maturity and sells for $1,100. The bond has a call provision that allows Regal to call the bond in four years at a call price of $1,060. What is the bond’s yield to call?
Choice: 5.07%
Choice: 10.13%
Choice: 15.74%
Choice: 100.00%
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HOMEWORK – Long-Term Debt and Equity Financing – Version A
Directions – Module 6 - HOMEWORK Equity Financing and Securities
11.
Medical Corporation of America (MCA) has a current stock price of $36, and its last dividend (D
0
) was $2.40. In view of MCA’s strong financial position, its required rate of return is 12%. If MCA’s dividends are expected to grow at a constant rate in the future, what is the firm’s expected stock price in five years?
Choice: $43.22
Choice: $45.95
Choice: $52.10
Choice: $68.75
Current stock price of the stock(P
0
) = $36 Last dividend (D
0
) = $2.40 Required rate of return (R) = 12%
Dividends are expected to grow at a constant rate – but not given E(g)
E
(
P
0
)
=
D
0
×
[
1
+
E
(
g
)
]
R
(
R
e
)
−
E
(
g
)
36
=
2.40
×
1
+
g
12%
−
g
36
×
12%
−
36
×g
=
2.40
+
2.40
g
36
×
12%
−
2.40
=
(
36
+
2.40
)
×g
g
=
36
×
12%
−
2.40
36
+
2.40
g
=
5.00%
What is the expected stock price in 5 years?
P
0
×
¿
$
36
×
¿
$
45.95
12.
A broker offers to sell you shares of Bay Area Healthcare, which just paid a dividend of $2 per share. The dividend is expected to grow at a constant rate of 5% per year. The stock’s required rate of return is 12%. What is the expected dollar dividend at the end of three years? Choice: $2.32
Choice: $3.12
Choice: $5.00
Choice: 12%
D
0
=
$
2.00
E
(
D
1
)
=
$
2.00
×
(
1.05
)
1
=
$
2.10
HOMEWORK – Long-Term Debt and Equity Financing – Version A
E
(
D
2
)
=
$
2.10
×
(
1.05
)
1
=
$
2.205
E
(
D
3
)
=
$
2.205
×
(
1.05
)
1
=
$
2.31525
E
(
D
4
)
=
$
2.32
13.
A broker offers to sell you shares of Bay Area Healthcare, which just paid a dividend of $2 per share. The dividend is expected to grow at a constant rate of 5% per year. The stock’s required rate of return is 12%. What would be a price for this stock?
Choice: $25
Choice: $30
Choice: $40
Choice: $45
Stock has a dividend of $2 per share D
0
dividend is expected to grow at a constant rate of 5% per year E(g)
Stock’s required rate of return is 12% R(R
e
)
E
(
P
0
)
=
D
0
×
[
1
+
E
(
g
)
]
R
(
R
e
)
−
E
(
g
)
=
2.00
×
1.05
0.12
−
0.05
=
2.1
0.07
=
$
30
14.
A broker offers to sell you shares of Bay Area Healthcare, which just paid a dividend of $2 per share. The dividend is expected to grow at a constant rate of 5% per year. The stock’s price is $30 a share. The stock’s required rate of return is 12%. What is the expected capital gains yield at the end of the third year? Choice: 2.5%
Choice: 5.0%
Choice: 7.5%
Choice: $30 at end of year
Stock has a dividend of $2 per share D
0
dividend is expected to grow at a constant rate of 5% per year E(g)
Stock’s required rate of return is 12% R(R
e
)
Stock’s price is $30 a share P
0
Expected dividend yield.
E
(
D
¿¿
1
)
÷E
(
P
¿¿
0
)
¿¿
$
2.10
÷$
30.00
=
0.07
=
7 %
E
(
P
¿¿
1
)=
$
30
×
(
1.05
)
1
=
$
31.50
¿
¿
(
$
31.50
−
$
30
)
÷$
30
=
0.05
=
5%
E
(
D
¿¿
2
)
÷E
(
P
¿¿
1
)
¿¿
$
2.205
÷ $
31
.
50
=
0.07
=
7%
HOMEWORK – Long-Term Debt and Equity Financing – Version A
E
(
P
¿¿
2
)=
$
31.50
×
(
1.05
)
1
=
$
33.075
¿
¿
(
$
33.075
−
$
31.50
)
÷$
31.50
=
0.05
=
5%
E
(
D
¿¿
2
)
÷E
(
P
¿¿
1
)
¿¿
$
2.31525
÷ $
33.075
=
0.07
=
7 %
E
(
P
¿¿
3
)=
$
33.075
×
(
1.05
)
1
=
$
34.72875
¿
¿
(
$
34.72875
−
$
33.075
)
÷$
33.075
=
0.05
=
5%
15.
A broker offers to sell you shares of Bay Area Healthcare, which just paid a dividend of $2 per share. The stock’s price is $30 a share. The dividend is expected to grow at a constant rate of 5% per year. The stock’s required rate of return is 12%. What is the expected total return yield (this is the expected dividend yield + expected capital gains yield) for each of the next three years? Choice: 8%
Choice: 10%
Choice: 12%
Choice: 14%
Stock has a dividend of $2 per share D
0
dividend is expected to grow at a constant rate of 5% per year E(g)
Stock’s required rate of return is 12% R(R
e
)
Stock’s price is $30 a share P
0
Expected dividend yield.
E
(
D
¿¿
1
)
÷E
(
P
¿¿
0
)
¿¿
$
2.10
÷$
30.00
=
0.07
=
7 %
Capital gains of yield
(
$
31.50
−
$
30
)
÷$
30
=
0.05
=
5%
Total return
7.0%
+
5.0%
=
12%
16. Assume the risk-free rate is 6% and the market risk premium is 6%. The stock of Physicians Care Network (PCN) has a beta of 1.5. The last dividend paid by PCN (D
0
) was $2 per share. What would PCN’s stock value be if the dividend were expected to grow at a constant rate of negative 5%.
Choice: $6.00
Choice: $9.50
Choice: $13.45
Choice: $17.60
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HOMEWORK – Long-Term Debt and Equity Financing – Version A
Risk-free rate is 6% RF
Market risk premium is 6% R(R
M
)
Beta of 1.5 β
Dividend issued was $2 a share D
0
R
(
R
e
)
=
RF
+
¿
6%
+
(
6%
×
1.5
)
6%
+
9%
=
15%
Growth rate = -5%
E
(
P
¿¿
0
)=
D
0
×
[
1
+
E
(
g
)
]
R
(
ℜ
)
−
E
(
g
)
=
$
2.00
×
(
1
−
0.05
)
0.15
+
0.05
=
$
1.9
0.2
=
$
9.50
¿
17. Assume the risk-free rate is 6% and the market risk premium is 6%. The stock of Physicians Care Network (PCN) has a beta of 1.5. The last dividend paid by PCN (D
0
) was $2 per share. What would PCN’s stock value be if the dividend were expected to grow at a constant rate of 0%.
Choice: $0.00
Choice: $5.05
Choice: $13.33
Choice: $20.40
Risk-free rate is 6% RF
Market risk premium is 6% R(R
M
)
Beta of 1.5 β
Dividend issued was $2 a share D
0
R
(
R
e
)
=
RF
+
¿
6%
+(
6 %
×
1.5
)
6%
+
9%
=
15%
Growth rate = 0%
E
(
P
¿¿
0
)=
D
0
×
[
1
+
E
(
g
)
]
R
(
ℜ
)
−
E
(
g
)
=
$
2.00
×
(
1
+
0
)
0.15
−
0
=
$
2.00
0.15
=
$
13.33
¿
18. Assume the risk-free rate is 6% and the market risk premium is 6%. The stock of Physicians Care Network (PCN) has a beta of 1.5. The last dividend paid by PCN (D
0
) was $2 per share. What would PCN’s stock value be if the dividend were expected to grow at a constant rate of 10%.
Choice: $35.00
Choice: $40.00
Choice: $44.00
Choice: $50.00
HOMEWORK – Long-Term Debt and Equity Financing – Version A
Risk-free rate is 6% RF
Market risk premium is 6% R(R
M
)
Beta of 1.5 β
Dividend issued was $2 a share D
0
R
(
R
e
)
=
RF
+
¿
6%
+(
6 %
×
1.5
)
6%
+
9%
=
15%
Growth rate = 10%
E
(
P
¿¿
0
)=
D
0
×
[
1
+
E
(
g
)
]
R
(
ℜ
)
−
E
(
g
)
=
$
2.00
×
(
1
+
0.10
)
0.15
−
0.10
=
$
2.20
0.05
=
$
44.00
¿
19.
Assume the risk-free rate is 6% and the market risk premium is 6%. The stock of Physicians Care Network (PCN) has a beta of 1.0
. The last dividend paid by PCN (D
0
) was $2 per share. What would be the stock value if the growth rate were 10%? Do you see the difference that the Beta can make on estimated stock value (look at answer for #8 and #9)?
Choice: $50.00
Choice: $100.00
Choice: $110.00
Choice: $115.00
Risk-free rate is 6% RF
Market risk premium is 6% R(R
M
)
Beta of 1.0 β
Dividend issued was $2 a share D
0
R
(
R
e
)
=
RF
+
¿
6%
+(
6 %
×
1.0
)
6%
+
6%
=
12%
Growth rate = 10%
E
(
P
¿¿
0
)=
D
0
×
[
1
+
E
(
g
)
]
R
(
ℜ
)
−
E
(
g
)
=
$
2.00
×
(
1
+
0.10
)
0.12
−
0.10
=
$
2.20
0.02
=
$
110.00
¿
Yes
, I can see the difference that the Beta can make on estimated stock value.
20.
Better Life Nursing Home, Inc. has maintained a dividend payment of $4 per share for many years. The same dollar dividend is expected to be paid in future years. The same dollar dividend is expected to be paid in future years. If investors require a 12% rate of return on investments of similar risk, determine the value of the company’s stock.
HOMEWORK – Long-Term Debt and Equity Financing – Version A
Choice: $11.11
Choice: $22.22
Choice: $33.33
Choice: $44.44
Stock price
=
Dividend payments÷ Rateof return
$
4
÷
0.12
=
$
33.33
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- Interest rates or discount rates. Fill in the interest rates for the following table using one of the three methods below: a. Use the interest rate formula, r=FVPV1n−1. b. Use the TVM keys from a calculator. c. Use the TVM function in a spreadsheet. Present Value Future Value Number of Periods Interest Rate $ 493.61 $ 1,902.61 20 ? $17,077.77 $228,416.84 32 ? $34,251.51 $ 63,755.61 24 ? $26,813.61 $212,279.67 10 ? Present Value Future Value Number of Periods Interest Rate $ 493.61 $ 1,902.61 20 nothing% (Round to two decimal places.) $17,077.77 $228,416.84 32 nothing% (Round to two decimal places.) $34,251.51 $ 63,755.61 24 nothing% (Round to two decimal places.) $26,813.61 $212,279.67 10 nothing% (Round to two decimal places.)arrow_forwardDiscounting Conceptual Overview: Explore the amount $1 is discounted for different compound interest rates across time. The graph shows the discounted value of $1 over time. Move the slider to change the compound interest rate and observe how the curve for the present value of $1 changes. The red dotted cursor lines show the present value of $1 at a specific time period in the future. Drag on the graph to select different time periods. \large PV_{N} = \frac {1} {FV_{N}} = \frac{1}{(1 + I)^{N}}= \frac{1}{(1 + 0.050)^{3.0}} = \frac{1}{1.16} = \$0.86 1. What is the present value of $1 due in 3 years when the discount interest rate is 10%? $1.33 $1.00 $0.75 $0.10 2. How much is each $1 due in 14 years at a discount rate of 5% worth today? $0.86 $0.51 $1.98 $1.00 3. Bond Long will pay $1 in 20 years with a discount interest rate of 5% and Bond Short will pay $1 in 5 years with a discount interest rate of 10%. Which bond has the higher present value? Long greater than Short…arrow_forwardClick here to view the factor table. https://education.wiley.com/content/Kieso_Intermediate_Accounting_17e/media/simulations/interest_rate_tables.pdfarrow_forward
- Show all work to figure out the interest rates. Don’t use Excel write it out on your own. arrow_forwardI need answer of this question solution general financearrow_forwardInterest rates or discount rates. Fill in the interest rates for the following table, , using one of the three methods below: FV a. Use the interest rate formula, r= PV - 1. b. Use the TVM keys from a calculator. c. Use the TVM function in a spreadsheet. Present Value Future Value Number of Periods Interest Rate 529.63 5 1,884.87 20 6.55 % (Round to two decimal places.) $17 207.92 $223,893.69 40 % (Round to two decimal places.)arrow_forward
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