FIN 300 Final: Final Exam Study guide_1.doc

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jadecricket702

30 Oct 2014

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Understand and know how to calculate a constant payment (e. g. a monthly car payment) and construct the corresponding simple loan amortization table. Understand the intuition behind the equation presented for market rates of interest and be able to identify the various components: r = r* + ip + drp + lp + mrp. If given the nominal risk-free rate and expected average inflation, be able to calculate the real risk-free rate. Understand how a t-bond yield and a corporate bond yield are calculated as t well as the components that make up their formula. T-bond yield = r* + ip + mrp. Understand the relationship between long-term and short-term is known as the term structure of interest rates. Be able to know the difference between an. Understand the key components needed in valuing a bond: coupon and/or coupon rate, face or par value, bond maturity, market rate of interest or yield.

Related Questions

Please can someone help me with this :

Minicase 1

Interest Rates, Bond Yields, and Duration

CONCEPTS IN THIS CASE

simple loans
fixed-payment loans
coupon bonds
present value
yield-to-maturity
current yield
nominal and real interest rates
rate of return
capital gain
interest-rate and reinvestment risk
duration

You have been hired to analyze the debt securities of your organization. The firm has outstanding loans and bonds. A quick review of the balance sheet shows the following:

	Liability Amount ($)	Nominal Interest (coupon) Rate	Years to Maturity
Selected Liabilities of the firm
Simple Loans	800	5%	1
Fixed-Payment Loans	5,000	12%	19
Long-term Bonds #1	500,000	10%	4
Long-term Bonds #2	1,080,000	10%	10
Liabilities Total	1,585,800

Market Price for Bond #1	930.50
Market Price for Bond #2	859.50
Face Value of Each Bond	1,000.00
Selected Current Assets of the firm
Marketable Securities:
Treasury Bills	100,000

Note: Treasury Bills have a $10,000 face value, which matures in one year. Each Treasury Bill has a cost of $9,580.00

How much interest would the firm pay each year on the simple-interest loan?

How much would you write a cheque for to pay off the loan in one year?

What is the monthly payment needed to pay off the fixed-payment loans?

What is the current yield for each bond if the current price is:

$930.50 for Bond #1?

$859.50 for Bond #2?

What is the expected yield to maturity for each bond?

Bond #1 selling for $930.50?

Bond #2 selling for $859.50

What is the rate of capital gain if both bonds sell for $900.00 in one year?

Bond #1 selling for $930.50 today?

Bond #2 selling for $859.50 today?

If the Yield to Maturity expected by investors changes to 11%:

What will be the market price of Bond #1?

What will be the market price for Bond #2?

What will be the dollar change in price for Bond #1?

What will be the dollar change in price for Bond #2?

What will be the percent change in price for Bond #1?

What will be the percent change in price for Bond #2?

Since the change in expected yield to maturity is the same, why is the amount of change different between the bonds?

If investors holding our 4-year bonds (Bond #1) receive interest income annually for four years, plus the face value of the bonds at maturity,

What will be the total interest earned on the bond over the next four years?

What will be the face value received at maturity?

Given the following projected income stream for Bond #1:

			Projected Reinvestment Rates
Year	Coupon Interest ($)	Face Value ($)	10%	5%
1	100
2	100		10.00	5.00
3	100		21.00	10.25
4	100	1000	33.10	15.76
Total Income	400	1000	64.10	31.01

What is the total cash available over the next four years to the bond holder earning

10%

15%

What is the average annual rate of return for the bond holder earning

10%

15%

Why does the reinvestment rate affect the annual rate of return for the same bond?

If the expected rate of return on our bonds is 10%, what is the duration of Bond #1?

What is the yield to maturity on the Treasury Bills (a discount bond)?

What is the real rate of interest if the nominal rate is 10% and the inflation rate is 3%?

amethystcrow453

All:

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 âZero-couponâ bonds?

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

McDonalds 5.7% 2039â¦â¦..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 bondâs 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%

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 (r_d) 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

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FIN 300 Final: Final Exam Study guide_1.doc

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