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27 Jul 2019

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Everyone today has to be concerned about being able to retire comfortably when they keep telling us that Social Security will be bankrupt in 2037, a mere 22 years from now, and that it is an entitlement, not something that we and our employers all paid into since we got our first job.

A retirement planner is attached to this message so you can estimate how much money you will need to save to be able to do the things most retirees want to do when they are no longer working.

Then provide your calculations to the class and make a statement as to what you think and if you can achieve it?

For Week 3, please turn in the answers to the following questions:

1. Define the following terms as they apply to bonds:

a. Face value

b. Maturity date

c. Coupon interest (including coupon interest rate)

d. Current yield

e. Yield to maturity (YTM)

f. Yield to call (YTC)

g. Call premium

2. What are “Zero-coupon” bonds?

3. Suppose you see the following bond price quote in the newspaper:

McDonalds 5.7% 2039……..122.733

What can you tell about this bond from reading the price quote?

4. (calculating the present value of a bond) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7% and a yield to maturity (YTM) of 4.201%, what should be its price in the bond market (ie, PV)?

5. (calculating the current yield of a bond) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7% and a market price of $1,223.92, what is its current yield?

6. (calculating the YTM of a bond) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7% and a market price of $1,223.92, what is its yield to maturity (YTM)?

7. (calculating the YTC of a bond) Assume a callable corporate bond with a face value of $1,000, a coupon interest rate of 5.7%, a market price of $1,223.92, and a call premium of 6%. Assume also that the bond has 24 years to go until it matures, but it is callable after 14 years. What is the bond’s yield to call (YTC)?

8. (calculating the present value of a bond with semi-annual coupon interest payments) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7%, paid semiannually, and has a yield to maturity (YTM) of 4.2%, what should be its price in the bond market (ie, PV)?

9. (calculating the YTM of a bond with semiannual interest payments) If a corporate bond with a face value of $1,000 has 24 years to go until it matures, has a coupon interest rate of 5.7%, paid semiannually, and has a market price of $1,223.92, what is its yield to maturity (YTM)?

10. Define the following terms as they apply to interest rates:

a. The real risk-free rate (r*)

b. The nominal risk-free rate (Rrf)

c. The inflation premium (IP)

d. The default risk premium (DRP)

e. The liquidity premium (LP)

f. The maturity risk premium (MRP)

11. Assume the real risk-free rate is 1%. Assume also that inflation is expected to be 1% in the coming year (year 1), 2% in the next year after that (year 2), and 3% in the year after that (year 3). Assume also that the default risk premium, the liquidity premium, and the maturity risk premium are 0%. Given these conditions, what would be the yield on three-year treasury bonds today?

12. Suppose the First Bank of St Louis was offering the following rates on certificates of deposit (CDs) this week:

Maturity Rate

3 month 1.50%

6 month 1.75%

1 year 2.00%

2 year 2.25%

3 year 2.50%

5 year 2.75%

10 year 3.00%

20 year 3.15%

a. Plot the above data on a yield curve. Label the graph and the axes appropriately.

b. Comment on the implications of this curve to you, as a potential investor in CDs.

End of assignment questions

(see answers to numerical problems on the next page)

Answers to numerical problems:

Question 4: $1,223.92

Question 5: 4.66%

Question 6: 4.2%

Question 7: 3.92%

Question 8: $1,225.44

Question 9: 4.21%

Question 11: 3.0%

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29 Jul 2019

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2. For this and the next question. The City of Knights issued $10,000,000 of 9% coupon, 20-year, semiannual payment, tax-exempt municipal bonds. The bonds were issued 5 years ago. The bonds can be called now if the city chooses to do so. The call premium is 4% of the face value. New 15-year, 5%, semiannual payment bonds can be sold at par, but flotation costs on this issue would be 2% of the amount of bonds sold. Note that the combined costs associated with calling the existing bonds and paying for the flotation cost of the new issue represent the total initial outlay for the refinancing. The initial cost is $600,000. CALCULATE THE TOTAL SEMI-ANNUAL SAVINGS ASSOCIATED WITH REFINANCING

120,000

30,000

none of the above

3. What is the net present value of the refunding? Note that cities pay no income taxes. Hence, taxes are not relevant in this analysis.

$453,443

$499,921

$240,000

$551,163

none of the above

4. For this and the next 2 question. New York Waste (NYW) is considering refunding a $50,000,000, annual payment, 14.5% coupon, 30-year bond issue that was issued 5 years ago. It has been amortizing $3 million of flotation costs on these bonds over their 30-year life. The company could sell a new issue of 25-year bonds at an annual interest rate of 11.67% in today's market. A call premium of 14% would be required to retire the old bonds, and flotation costs on the new issue would be $3 million. The company's marginal tax rate is 40%. The new bonds would be issued when the old bonds are called. The initial cost of the refunding is $6,200,000?

Calculate the after-tax annual INTEREST SAVINGS if the refunding takes place.

$664,050

$768,000

$849,000

$930,369

none of the above

5. What is the NPV if the bods are refunded today?

$1,746,987

$1,838,933

$1,935,719

$3,785,322

6. A callable bond with an original maturity of 20 years now has 15 years to mature. The bond was originally issued at par with a coupon rate of 12% and semiannual interest payments. The bond can be called 7 years from now at a 20 percent call premium. Calculate this bond’s yield-to-call and yield-to-maturity if the current price is $860.

YTC = 14.29%; YTM = 17,09%

YTC = 17.09%; YTM = 14.29%

None of the above

7. Which of the following statements is most correct?

Junk bonds typically carry a lower yield to maturity than investment grade bonds

A debenture is a secured bond which is backed by some or all of the firm’s fixed assets

All else equal, subordinated bonds typically carry lower yields than mortgage bonds

None of the above statements is correct

8. Assume you wish to purchase a bond with a 30-year maturity, a coupon rate of 10 percent, a face value of $1,000, and semiannual interest payments. If you require 9% yield to maturity, what is the present value of the bond?

$905.35

$1,102.74

$1,103.19

$1,149.63

9. A bond has a coupon rate of 8%, a maturity of 10 years, a face value of $1,000, and makes semiannual payments. If the price is $9.34.96, what is the annual nominal yield to maturity on the bond?

8.39%

9.64%

4.41%

none of the above

The payment made each period on an amortized loan is constant, and it consists of some interest and some principal. The closer we are to the end of the loan's life, the smaller the percentage of the payment that will be a repayment of principal.

a. True

b. False

2. The market value of any real or financial asset, including stocks, bonds, or art work purchased in hope of selling it at a profit, may be estimated by determining future cash flows and then discounting them back to the present.

a. True

b. False

3. A bond has a $1,000 par value, makes annual interest payments of $100, has 5 years to maturity, cannot be called, and is not expected to default. The bond should sell at a premium if interest rates are below 10% and at a discount if interest rates are greater than 10%.

a. True

b. False

4.Which of the following events would make it more likely that a company would choose to call its outstanding callable bonds?

a. Market interest rates decline sharply.

b. Market interest rates rise sharply.

c. Inflation increases significantly.

d. The company's financial situation deteriorates significantly.

e. The company's bonds are downgraded.

5. A 15-year bond has an annual coupon rate of 8%. The coupon rate will remain fixed until the bond matures. The bond has a yield to maturity of 6%. Which of the following statements is CORRECT?

a. If market interest rates remain unchanged, the bond's price one year from now will be lower than it is today.

b. The bond is currently selling at a price below its par value.

c. If market interest rates decline, the price of the bond will also decline.

d. If market interest rates remain unchanged, the bond's price one year from now will be higher than it is today.

e. The bond should currently be selling at its par value.

6. Which of the following statements is CORRECT?

a. The expected return on a corporate bond will generally exceed the bond's yield to maturity.

b. If a bond's coupon rate exceeds its yield to maturity, then its expected return to investors exceeds the yield to maturity.

c. All else equal, senior debt generally has a lower yield to maturity than subordinated debt.

d. Under our bankruptcy laws, any firm that is in financial distress will be forced to declare bankruptcy and then be liquidated.

e. An indenture is a bond that is less risky than a mortgage bond.

7. Your investment account pays 6.8%, compounded annually. If you invest $5,000 today, how many years will it take for your investment to grow to $9,140.20?

Select the correct answer.

a. 10.47

b. 11.77

c. 9.17

d. 13.07

e. 7.87

8. You want to purchase a motorcycle 4 years from now, and you plan to save $3,500 per year, beginning immediately. You will make 4 deposits in an account that pays 5.7% interest. Under these assumptions, how much will you have 4 years from today?

a. $16,918

b. $19,584

c. $16,112

d. $17,763

e. $18,652

9. Suppose you earned a $135,000 bonus this year and invested it at 8.25% per year. How much could you withdraw at the end of each of the next 20 years?

Select the correct answer.

a. $14,006.84

b. $13,994.04

c. $13,997.24

d. $14,000.44

e. $14,003.64

10.Your older brother turned 35 today, and he is planning to save $30,000 per year for retirement, with the first deposit to be made one year from today. He will invest in a mutual fund that's expected to provide a return of 7.5% per year. He plans to retire 30 years from today, when he turns 65, and he expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can he spend each year after he retires? His first withdrawal will be made at theend of his first retirement year.

Select the correct answer.

a. $119,069

b. $119,090

c. $119,076

d. $119,097

e. $119,083

11. Rogoff Co.'s 15-year bonds have an annual coupon rate of 9.5%. Each bond has face value of $1,000 and makes semiannual interest payments. If you require an 11% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?

Select the correct answer.

$888.91

$882.64

$886.82

$891.00

$884.73

12. Haswell Enterprises' bonds have a 10-year maturity, a 6.25% semiannual coupon, and a par value of $1,000 . The going interest rate (rd) is 9.75%, based on semiannual compounding. What is the bond's price?

Select the correct answer.

$782.32

$787.80

$779.58

$785.06

$790.54

1. Which of the following is true?
The corporation model can be used to value divisions and firms that do not pay dividends.
The discounted dividend model can be used to value divisions and firms that do not pay dividends.
For the discounted dividend model, a firm's weighted average cost of capital is used as the discount rate.
For the corporate valuation model, a firm's cost of equity is used as the discount rate.
Question 2.2. Which of the following is false?
For the constant growth model to hold, a firm's cost of equity needs to be smaller than its constant dividend growth rate (i.e., rs < g).
For the constant growth model to hold, a firm's cost of equity needs to be greater than its constant dividend growth rate (i.e., rs > g).
From the constant growth model, if the constant dividend growth rate is equal to zero, a firm's share price is equal to the constant dividend divided by the cost of equity (i.e., g=0).
If a company's constant dividend growth rate is negative, the formula for the constant growth model cannot be applied.
Question 3.3. From the discussion of a firm's capital budgeting problem in chapter 11, which of the following is false? (Points : 3.5)
The net present value method (NPV) assumes that cash flows are reinvested at the weighted average cost of capital (WACC).
The internal rate of return method (IRR) assumes that cash flows are reinvested at the internal rate of return.
The modified internal rate of return method (MIRR) assumes that cash flows are reinvested at the weighted average cost of cpaital.
For mutually exclusive projects, if there is a conflict between NPV and IRR, the project with the highest IRR is chosen.
The IRR is independent of a firm's weighted average cost of capital.
Question 4.4. Which of the following is true? (
As a firm's dividend payout ratio increases, the firm's WACC decreases.
The WACC only represents the "hurdle rate" for a typical project with average risk. Therefore, the project's WACC should be adjusted to reflect the project's risk.
Firms with riskier projects generally have a lower WACC.
Holding all else constant, an increase in the target debt ratio tends to lower the WACC.
Question 5.5. Which of the following is false?
If interest rates rise, the price of the bond will rise and its YTM (yield to maturity) will fall.
Short-term bond prices are less sensitive than long-term bond prices to interest rate changes.
Companies are not likely to call bonds unless interest rates have declined significantly. Thus, the call provision is valuable to firms but detrimental to long term investors.
On balance, bonds that have a sinking fund are regarded as being safer than those without such a provision.
Question 6.6. Which of the following is not true? (Points : 3.5)
According to SML (security market line), the risk premium on a high-beta stock would increase more than that on a low-beta stock.
If beta < 1.0, the security is less risky than average.
According to the Security Market Line (SML), in general, a company’s expected return will double when its beta doubles.
According to the Security Market Line (SML), if a portfolio of real world stocks has a beta of zero, the required rate of return for the portfolio is equal to the risk-free rate.
Question 7.7. P&G Industries bonds have a maturity of 15 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 10 years at $1,125, and currently sell at a price of $1,105. What is their nominal annual yield to call?
6.87%.
7.37%.
11.05%.
8.32%.
Question 8.8. Which of the following is not the flaw (weakness) of the discounted payback method? (Points : 3.5)
It does not tells us by how much the project should increase shareholder wealth, or by how much a project yields over the cost of capital; it merely tells us when we recover our investment.
It ignores cash flows occurring after the payback period.
It ignores the time value of money, that is, dollars received in different years are all given the same weight.
Question 9.9. Jermey Lin has $52,500 invested a stock with a beta of 0.80 and another $47,500 invested in a stock with a beta of 3.2. If these are the only two investments in his portfolio, what is his portfolio's beta?
1.56.
1.82.
2.00.
1.94
Question 10.10. According to CAPM, if the required rate of the return of Stock A obtained from the security market line (SML) is less than the expected rate of the return of stock A from the capital market transaction, then stock A is
fairly priced.
undervalued.
overvalued.
Question 11.11. Determine the yield-to-call (to nearest 0.1 of a percent) of an LTV bond with a 12 percent coupon, that pays interest annually. The bond can be called in 5 years, has a call premium of $114, and is currently selling for $912.50. The bond has a face value of $1,000.
14.58%.
13.92%.
16.34%.
12.17%.
Question 12.12. Project M costs $1,000, its expected cash inflows are $500 per year for 3 years, and its WACC is 11%. What is the project's NPV? (Points : 3.5)
$259.57.
$221.86.
$195.23.
$257.35.
Question 13.13. Project J costs $1,025, its expected cash inflows are $425 per year for 3 years, and its WACC is 10%. What is the project's IRR?
12.58%.
10.82%.
11.76%.
9.64%.
Question 14.14. Project X costs $6,750, its expected cash inflows are $1250 per year for 10 years, and its WACC is 10%. What is the project's payback?(Note, the regular payback is asked in this question, not the discounted payback.) (Points : 3.5)
5.40 years.
10 years.
4.58 years.
6.12 years.
Question 15.15. Project S costs $800, its expected cash inflows are $350 per year for 3 years, and its WACC is 7%. What is the project's MIRR?
13.97%.
12.04%.
14.93%.
9.15%.
Question 16.16. Project Y costs $650, its expected cash inflows are $500 per year for 5 years, and its WACC is 10%. What is the project's discounted payback?
1.47 years.
1.24 years.
1.62 years.
1.15 years.
1. Which of the following is true?
The corporation model can be used to value divisions and firms that do not pay dividends.
The discounted dividend model can be used to value divisions and firms that do not pay dividends.
For the discounted dividend model, a firm's weighted average cost of capital is used as the discount rate.
For the corporate valuation model, a firm's cost of equity is used as the discount rate.
Question 2.2. Which of the following is false?
For the constant growth model to hold, a firm's cost of equity needs to be smaller than its constant dividend growth rate (i.e., rs < g).
For the constant growth model to hold, a firm's cost of equity needs to be greater than its constant dividend growth rate (i.e., rs > g).
From the constant growth model, if the constant dividend growth rate is equal to zero, a firm's share price is equal to the constant dividend divided by the cost of equity (i.e., g=0).
If a company's constant dividend growth rate is negative, the formula for the constant growth model cannot be applied.
Question 3.3. From the discussion of a firm's capital budgeting problem in chapter 11, which of the following is false?
The net present value method (NPV) assumes that cash flows are reinvested at the weighted average cost of capital (WACC).
The internal rate of return method (IRR) assumes that cash flows are reinvested at the internal rate of return.
The modified internal rate of return method (MIRR) assumes that cash flows are reinvested at the weighted average cost of cpaital.
For mutually exclusive projects, if there is a conflict between NPV and IRR, the project with the highest IRR is chosen.
The IRR is independent of a firm's weighted average cost of capital.
Question 4.4. Which of the following is true? (Points : 3.5)
As a firm's dividend payout ratio increases, the firm's WACC decreases.
The WACC only represents the "hurdle rate" for a typical project with average risk. Therefore, the project's WACC should be adjusted to reflect the project's risk.
Firms with riskier projects generally have a lower WACC.
Holding all else constant, an increase in the target debt ratio tends to lower the WACC.
Question 5.5. Which of the following is false? (Points : 3.5)
If interest rates rise, the price of the bond will rise and its YTM (yield to maturity) will fall.
Short-term bond prices are less sensitive than long-term bond prices to interest rate changes.
Companies are not likely to call bonds unless interest rates have declined significantly. Thus, the call provision is valuable to firms but detrimental to long term investors.
On balance, bonds that have a sinking fund are regarded as being safer than those without such a provision.
Question 6.6. Which of the following is not true? (Points : 3.5)
According to SML (security market line), the risk premium on a high-beta stock would increase more than that on a low-beta stock.
If beta < 1.0, the security is less risky than average.
According to the Security Market Line (SML), in general, a company’s expected return will double when its beta doubles.
According to the Security Market Line (SML), if a portfolio of real world stocks has a beta of zero, the required rate of return for the portfolio is equal to the risk-free rate.
Question 7.7. P&G Industries bonds have a maturity of 15 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 10 years at $1,125, and currently sell at a price of $1,105. What is their nominal annual yield to call? (Points : 3.5)
6.87%.
7.37%.
11.05%.
8.32%.
Question 8.8. Which of the following is not the flaw (weakness) of the discounted payback method? (Points : 3.5)
It does not tells us by how much the project should increase shareholder wealth, or by how much a project yields over the cost of capital; it merely tells us when we recover our investment.
It ignores cash flows occurring after the payback period.
It ignores the time value of money, that is, dollars received in different years are all given the same weight.
Question 9.9. Jermey Lin has $52,500 invested a stock with a beta of 0.80 and another $47,500 invested in a stock with a beta of 3.2. If these are the only two investments in his portfolio, what is his portfolio's beta? (Points : 3.5)
1.56.
1.82.
2.00.
1.94
Question 10.10. According to CAPM, if the required rate of the return of Stock A obtained from the security market line (SML) is less than the expected rate of the return of stock A from the capital market transaction, then stock A is (
fairly priced.
undervalued.
overvalued.
Question 11.11. Determine the yield-to-call (to nearest 0.1 of a percent) of an LTV bond with a 12 percent coupon, that pays interest annually. The bond can be called in 5 years, has a call premium of $114, and is currently selling for $912.50. The bond has a face value of $1,000. (Points : 3.5)
14.58%.
13.92%.
16.34%.
12.17%.
Question 12.12. Project M costs $1,000, its expected cash inflows are $500 per year for 3 years, and its WACC is 11%. What is the project's NPV?
$259.57.
$221.86.
$195.23.
$257.35.
Question 13.13. Project J costs $1,025, its expected cash inflows are $425 per year for 3 years, and its WACC is 10%. What is the project's IRR? (
12.58%.
10.82%.
11.76%.
9.64%.
Question 14.14. Project X costs $6,750, its expected cash inflows are $1250 per year for 10 years, and its WACC is 10%. What is the project's payback?(Note, the regular payback is asked in this question, not the discounted payback.) (Points : 3.5)
5.40 years.
10 years.
4.58 years.
6.12 years.
Question 15.15. Project S costs $800, its expected cash inflows are $350 per year for 3 years, and its WACC is 7%. What is the project's MIRR? (
13.97%.
12.04%.
14.93%.
9.15%.
Question 16.16. Project Y costs $650, its expected cash inflows are $500 per year for 5 years, and its WACC is 10%. What is the project's discounted payback?
1.47 years.
1.24 years.
1.62 years.
1.15 years.

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