ADMS 4540 Chapter Notes - Chapter 7: Interest Rate Risk, Zero-Coupon Bond, Risk Premium

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raspberrymouse643

4 Nov 2018

School

York University

Department

Administrative Studies

Course

ADMS 4540

Professor

William Lim

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Document Summary

If market rate = bond interest rate bond value = face value: repeat calculation for time till maturity if interest rate changes. Interest rate risk risk from fluctuating interest rates: sensitivity of price to interest rate depends on. Longer time to maturity greater risk: greater impact on pv. Indenture - written agreement between corporation & creditor: trustee appointed by corporation to represent bondholders, trust company must, make sure terms of indenture obeyed, manage sinking fund, represent bondholders. Includes basic terms of bond / amount of bonds issued / property used as security. If buy bond between coupon payments price you pay more than price quoted. Lbo small group of investors purchase all equity shares of company usually financed with debt. Long term rate higher than short term upward sloping: vice versa downward sloping, determinants of term structure, real rate / rate of inflation / interest rate risk. Inflation premium portion of nominal interest rate represents compensation for expected future inflation.

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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

QUESTION 1 The largest investors in corporate bonds are life insurance companies and pension funds. True False 5 points QUESTION 2 Most secondary market transactions for corporate bonds take place through dealers in the over-the-counter (OTC) market. True False 5 points QUESTION 3 The value (or price) of a bond is the present value of its expected future cash flows. True False 5 points QUESTION 4 Bond prices decline when the interest rate decreases. True False 5 points QUESTION 5 The face or par value for bonds is the amount paid to bondholders at maturity and is usually equal to $1,000. True False 5 points QUESTION 6 The yield to maturity of a bond is the discount rate that makes the present value of the coupon and principal payments equal to the price of the bond. True False 5 points QUESTION 7 Zero coupon bonds have no coupon payments so they sell for more than their par value. True False 5 points QUESTION 8 Interest rate risk is the risk that bond prices will fluctuate when the interest rate changes. True False 5 points QUESTION 9 US Treasury securities are considered risky investments because the coupon payments are unpredictable. True False 5 points QUESTION 10 Bonds are very difficult to value because their future cash flows are very difficult to predict. True False 5 points QUESTION 11 If the bond's coupon rate is equal to the market rate then the bond will sell at a price equal to its face value greater than its face value less than its face value equal to its foreign currency value, e.g., its price in British pounds 5 points QUESTION 12 When calculating the price of a bond that pays a semiannual coupon one needs to use double the number of years until maturity for the number of payments use half the annual coupon payment use half the annual rate of return as the discount rate all of the above 5 points QUESTION 13 The yield to maturity of a bond is the discount rate that makes the present value of the coupon and principal payments more than the price of the bond equal to zero equal to the price of the bond less than the price of the bond 5 points QUESTION 14 Which one of the following statements is true? All else equal long-term bonds have lower price volatility than short-term bonds. There is an inverse relation between bond prices and market interest rates. All else equal short-term bonds are more risky than long-term bonds. All else equal US government bonds are more risky than corporate bonds. 5 points QUESTION 15 An investor owns a 10-year US government bond with a 9 percent coupon rate. If the yield-to-maturity on the bond is 8 percent then this bond is selling for its par value. a discount. a premium. its face value. 5 points QUESTION 16 BA Corp is issuing a 10-year bond with a coupon rate of 8 percent and a par value of $1,000. The market interest rate on similar bonds is currently 6 percent. If the coupon payments are made annually, what is the value of this bond? 5 points QUESTION 17 Knight, Inc. has issued a 3-year bond with a $1,000 par value and an annual coupon rate of 6 percent. The current market rate of interest is 5 percent. What is the value of this bond if the coupon payments are made semiannually? 5 points QUESTION 18 Diane Carter is interested in buying a 5-year zero coupon bond with a face value of $5,000. If the market interest rate on these types of bonds is currently 9 percent, what is the current price of this bond? 5 points QUESTION 19 Rudy Sandberg wants to invest in 4-year bonds that are currently priced at $933.76. The bonds have a coupon rate of 6 percent and annual coupon payments. If the par value of the bonds is $1,000, what is the bond's yield-to-maturity? 5 points QUESTION 20 You own a 5-year bond with a face value of $1,000 and a coupon rate of 5 percent with annual payments. The bond is currently worth $810.46. If market interest rates remain unchanged, what will be the value of the bond next year when there are 4 years left until maturity?

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

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

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

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

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

a-$930.50 for Bond #1?

b-$859.50 for Bond #2?

5-What is the expected yield to maturity for each bond?

a-Bond #1 selling for $930.50?

b-Bond #2 selling for $859.50

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

a-Bond #1 selling for $930.50 today?

b-Bond #2 selling for $859.50 today?

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

a-What will be the market price of Bond #1?

b-What will be the market price for Bond #2?

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

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

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

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

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

8-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,

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

b-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

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

ii-10%

iii-15%

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

ii-10%

iii-15%

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

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

raspberryalligator692

ADMS 4540 Chapter Notes - Chapter 7: Interest Rate Risk, Zero-Coupon Bond, Risk Premium

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