BONDS
Some terms to know:
Par value = Future Value=: $1000 most text books or $100 (real world).
Coupon Rate= Interest rate used to calculate payment (annuity)
bond Payment = coupon rate * par value
Payment could be made semi-annually, quarterly, monthly, bi-weekly, annually, daily (no very common).
Premium Bonds = Bond is priced over par (think expensive)
Discount Bond= Bond is priced below par
Yield to Maturity = Interest Rate if bond goes to Maturity
Yield to Call = Interest Rate if bond is called or does not reach maturity
Call Price = Price at which bond is called.
Price of bond (Po) = Price of Bond today or Present Value (PV)
Future value of bond = Generally will be Par value of $100 or $1000 (depending on text)
Nper or N = Periods till maturity or call
Bond is a form of annuity.
An annuity is just a constant (fixed) stream of payment for a fixed period or perpetuity.
Annuity Due = Payment made at the beginning (for example your fixed mortgage payment at the beginning of each month could be considered an annuity due if that helps).
Ordinary Annuity= Payment made at the end of term.
Zero coupon bond = zero coupon rate = zero payment
You may use your Excel or Financial Calculator to assist with Bond type questions.
Sample Problems.
1.The 13.77 percent coupon bonds of the Peterson Co. are selling for $834.41. The bonds mature in 5 years and pay interest semi-annually. These bonds have current yield of _____ percent.
2.You paid $1,128 for a corporate bond that has a 6.64% coupon rate. What is the current yield?
3. The yield to maturity on a Marshall Co. premium bond is 7.6 percent. This is the:
a) nominal rate.
b) effective rate.
c) real rate.
d) current yield.
4. ABC has issued a bond with the following characteristics:
Par: $1,000; Time to maturity: 8 years; Coupon rate: 4%;
Assume semi-annual coupon payments. Calculate the price of this bond if the YTM is 6.92%
5. ABC has issued a bond with the following characteristics:
Par: $1,000; Time to maturity: 16 years; Coupon rate: 4%;
Assume semi-annual coupon payments. Calculate the price of this bond if the YTM is 9.64%
6. A premium bond is a bond that:
a) has a market price which exceeds the face value.
b) has a face value in excess of $1,000.
c) is selling for less than par value.
d) has a par value which exceeds the face value.
e) is callable within 12 months or less.
7. ABC wants to issue 8-year, zero coupon bonds that yield 11.64 percent. What price should they charge for these bonds if they have a par value of $1,000? That is, solve for PV. Assume annual compounding.
Hint: zero coupon bonds means PMT = 0
8. The 8 percent coupon bonds of the Peterson Co. are selling for 98 percent of par value. The bonds mature in 5 years and pay interest semi-annually. These bonds have a yield to maturity of _____ percent.
9. ABC’s Inc.’s bonds currently sell for $1,280 and have a par value of $1,000. They pay a $135 annual coupon and have a 15-year maturity, but they can be called in 5 years at $1,050. What is their yield to call (YTC)?
10. A bond which sells for less than the face value is called a:
a) discount bond.
b) debenture.
c) perpetuity.
d) par value bond.
e) premium bond.
11. The principal amount of a bond that is repaid at the end of term is called the par value or the:
a) back-end amount
b) face value
c) coupon rate
d) discount amount
e) Coupon
12. Stealers Wheel Software has 5.11% coupon bonds on the market with nine years to maturity. The bonds make semi-annual payments and currently sell for 107.12% of par. What is the current yield?
13. The 13.1 percent, $1,000 face value bonds of Tim McKnight, Inc., are currently selling at $846.48. What is the current yield?
14. ABC’s bonds have a 9.5 percent coupon and pay interest semi-annually. Currently, the bonds are quoted at 106.315 percent of par value. The bonds mature in 8 years. What is the yield to maturity?
15. The rate required in the market on a bond is called the:
a) call yield
b) current yield
c) yield to maturity
d) liquidity premium
e) risk premium
16. A discount bond has a yield to maturity that:
a) exceeds the coupon rate.
b) equals zero.
c) is equal to the current yield.
d) is less than the coupon rate.
e) equals the bond’s coupon rate.
17. Assume that you wish to purchase a 14-year bond that has a maturity value of $1,000 and a coupon interest rate of 7%, paid semiannually. If you require a 5.11% rate of return on this investment (YTM), what is the maximum price that you should be willing to pay for this bond? That is, solve for PV.
18. ABC Corp. issued 15-year bonds 2 years ago at a coupon rate of 10.6%. The bonds make semi-annual payments. If these bonds currently sell for 97% of par value, what is the YTM?
19. BCD’s $1,000 par value bonds currently sell for $798.40. The coupon rate is 10%, paid semi-annually. If the bonds have 5 years to maturity, what is the yield to maturity?
20. ABC has issued a bond with the following characteristics:
Par: $1,000; Time to maturity: 13 years; Coupon rate: 4%;
Assume annual coupon payments. Calculate the price of this bond if the YTM is 7.12%
21. A firm’s bonds have maturity of 10 years with a $1000 face value, an 8% semi-annual coupon, are callable in 5 years, at $1,050, and currently sells at a price of $1,100. What is the yield to call (YTC)?
22. ABC Inc., has $1,000 face value bonds outstanding. These bonds mature in 3 years, and have a 6.5 percent coupon. The current price is quoted at 98.59 percent of par value. Assume semi-annual payments. What is the yield to maturity?
If experiencing difficulty in answering bond type questions, feel free to contact our experts to coach you to have better understand the concepts.
Question 1
If you receive $416 at the end of each year for the first three years and $710 at the end of each year for the next three years. What is the present value? Assume interest rate is 10%.
Question 2
Assume interest rate of 5%. A company receives cash flows of $106,444 at the end of years 4, 5, 6, 7, and 8, and cash flows of $297,138 at the end of year 10. Compute the future value of this cash flow stream.
Do not enter the symbol $ in your answer. Simply enter the answer rounded off to two decimal points.1 points
Question 3
If you can double your money in 17 years, what is the implied annual rate of interest, given that compounded in quarterly? Note: give your answer in percentages. Note: Do not put % sign in your answer. Simply write the number in percentages in the answer box. 1 points
Question 4
The ABC Company is considering a new project which will require an initial cash investment of $11,995. The projected cash flows for years 1 through 4 are $5,800, $9,546, $9,238, and $5,828, respectively. If the appropriate discount rate is 5%, compute the NPV of the project.
Question 5
How many years it will take you to quadruple (means 4 times) your money if you can earn 4.59% each year? Note: Do not write “years” in your answer. Simply write the number in the answer box.1 points
Question 6
The ABC Company is considering a new project which will require an initial cash investment of $5,723. The project will produce no cash flows for the first 5 years. The projected cash flows for years 6 through 9 are $2,456, $4,090, $6,718, and $3,663, respectively. If the appropriate discount rate is 3%, compute the NPV of the project.
Enter your answer rounded off to two decimal points. Do not enter $ in the answer box.1 points
Question 7
What is the future value of $2,737 invested for 10 years at 16% if interest is compounded quarterly? Note: Do not put $ sign in your answer. Simply write the number in the answer box.1 points
Question 8
Gertrude Carter and Co. has an outstanding loan that calls for equal annual payments of $14,903 over the 10-year life of the loan. The original loan amount was $100,000 at an APR of 8 percent. How much of the third payment is interest?
Do not enter the symbol $ in your answer. Simply enter the answer rounded off to two decimal points.
Question 9
Barrett Pharmaceuticals is considering a drug project that costs $156,489 today and is expected to generate end-of-year annual cash flows of $12,910, forever. At what discount rate would Barrett be indifferent between accepting and rejecting the project?
Just enter the number in percentages up to 2 decimal points. Do not enter % in the answer box.
Question 10
If you put $700 in a savings account with a 10% nominal rate of interest compounded monthly, what will the investment be worth in 21 months (round to the nearest dollar)?
1 points
Question 11
If you can triple your money in 21 years, what is the implied rate of interest? Note: Do not put % sign in your answer. Simply write the number in percentages in the answer box..1 points
Question 12
In order to buy a house, you take a loan of 100,000 at 7.5% for a period of 13 years. Compute the balance remaining at the end of 5 years.
Do not enter the symbol $ in your answer. Enter your answer as a positive number. Simply enter the answer rounded off to two decimal points.1 points
Question 13
Say, you deposit $4,529 in a bank for 16 years. What is the amount you will have in the bank at the end of 16 years if interest of 5 % compounded monthly for first 6 years and interest of 5 % compounded quarterly for the remaining years? Note: Do not put $ sign in your answer. Simply write the number in the answer box.
1 points
Question 14
If you can double your money in 30 years, what is the implied annual rate of interest, given that compounded semi-annually? Note: give your answer in percentages. Note: Do not put % sign in your answer. Simply write the number in percentages in the answer box.1 points
Question 15
What is the future value of annual payments of $2,267 for 4 years at 6 percent?1 points
Question 16
How much do you need to invest today in order to have $1,491 at the end of 27 years if you are sure to earn an interest at the rate of 7%, if interest is compounded quarterly? Note: Do not put $ sign in your answer. Simply write the number in the answer box.1 points
Question 17
How many years it will take to grow your money from $3,641 to $7,248 if you can earn an interest of 13% compounded monthly? Note: Do not write “years” in your answer. Simply write the number in the answer box.
Question 18
What is the future value of quarterly payments of $504 for 7 years at 6 percent?1 points
Question 19
Say, you deposit $3,069 in a bank for 19 years. What is the amount you will have in the bank at the end of 19 years if interest of 6 % for first 5 years and interest of 5 % for the remaining years? Note: Do not put $ sign in your answer. Simply write the number in the answer box. 1 points
Question 20
What is the future value of $2,391 invested for 12 years at 10% if interest is compounded semi-annually (twice a year)? Note: Do not put $ sign in your answer. Simply write the number in the answer box.
Question 21
Kelly starting setting aside funds 10 years ago to buy some new equipment for her firm. She has saved $4,143 each quarter and earned an average rate of return of 7 percent. How much money does she currently have saved for this purpose?
1 points
Question 22
If the effective rate is 7%. What is the nominal rate if compounding is daily. Do not enter the symbol % in your answer. Simply enter the answer in percentages rounded off to two decimal points.
Question 23
Assume interest rate of 4%. A company receives cash flows of $694 at the end of year 5, $295 at the end of year 7, and $947 at the end of year 10. Compute the future value of this cash flow stream.
Do not enter the symbol $ in your answer. Simply enter the answer rounded off to two decimal points.
1 points
Question 24
What is the future value of $7,256 for 9 years at 3 percent if interest is compounded semi-annually? Note: Do not enter “$” in your answer. Simply write down the number that you get as your answer.
1 points
Question 25
Consider a 10-year loan with monthly payments at 10%. If the loan amount is $250,000, compute the Interest paid during the 6th year.
Enter your answer rounded off to two decimal points. Do not enter $ in the answer box.
1 points
Question 26
How many years it will take you to double your money if you can earn 6% each year, given that compounding is quarterly? Note: Do not write “years” in your answer. Simply write the number in the answer box.
1 points
Question 27
What is the future value of $2,226 invested for 16 years at 17% if interest is compounded semi-annually? Note: Do not put $ sign in your answer. Simply write the number in the answer box.
1 points
Question 28
What is the effective rate of 10% compounded monthly?
Do not enter the symbol % in your answer. Simply enter the answer in percentages rounded off to two decimal points.
1 points
Question 29
How many years it will take to grow your money from $4,284 to $6,266 if you can earn an interest of 7% compounded quarterly? Note: Do not write “years” in your answer. Simply write the number in the answer box.
1 points
Question 30
The Perpetual Life Insurance Co is trying to sell you an investment policy that will pay you and your heirs $14,547 per year forever. Suppose the Perpetual Life Insurance Co. told you the policy costs $184,892. At what interest rate would this be a fair deal? Just enter the number in percentages up to 2 decimal points. Do not enter % in the answer box.
1 points
Question 31
What should you be willing to pay in order to receive $749 annually forever, if you require 10% per year on the investment?
Just enter the number up to 2 decimal points. Do not enter $ in the answer box.
1 points
Question 32
Today, you are purchasing a $3,741 4-year car loan at 7 percent. You will pay annually at the end of each year. What is the amount of each payment?
1 points
Question 33
How many months it will take to grow your money from $4,736 to $6,924 if you can earn an interest of 11% compounded monthly? Note: Do not write “months” in your answer. Simply write the number in the answer box.
1 points
Question 34
How much do you need to invest today in order to have $4,498 at the end of 28 years if you are sure to earn an interest at the rate of 15%, if interest is compounded monthly? Note: Do not put $ sign in your answer. Simply write the number in the answer box
Question 35
Assume interest rate of 6%. Suppose that you receive $75,081 at the end of each year for 4 years. Suppose that this cash flow starts at the end of the fourth year. Compute the present value.
Do not enter the symbol $ in your answer. Simply enter the answer rounded off to two
decimal points.
Question 36
How much do you need to invest today in order to have $14,700 at the end of 11 years if you are sure to earn an interest at the rate of 13%? Note: Do not put $ sign in your answer. Simply write the number in the answer box.
Introduction to Financial Management
Financial Statements, Taxes, and Cash Flow
Working with Financial Statements
Introduction to Valuation: The Time Value of Money
Discounted Cash Flow Valuation
Interest Rates and Bond Valuation
Equity Markets and Stock Valuation
Net Present Value and Other Investment Criteria
Making Capital Investment Decisions
Some Lessons from Capital Market History
Risk and Return
Cost of Capital
Leverage and Capital Structure
Dividends and Dividend Policy
Raising Capital
Short-Term Financial Planning
Working Capital Management
International Aspects of Financial Management
Most popular text books:
Essentials of Corporate Finance, 6/e; Ross•Westerfield•Jordan
Sample schools tutored:
FINP 5008 – Business Finance (Nova Southeastern University)