1. Which of the following statements is CORRECT?
a. A time line is not meaningful unless all cash flows occur annually.
b. Time lines are useful for visualizing complex problems prior to doing actual calculations.
c. Time lines cannot be constructed in situations where some of the cash flows occur annually but others occur quarterly.
d. Time lines cannot be constructed for annuities where the payments occur at the beginning of the periods.
e. Some of the cash flows shown on a time line can be in the form of annuity payments, but none can be uneven amounts.
2. A call provision gives bondholders the right to demand, or "call for," repayment of a bond. Typically, companies call bonds if interest rates rise and do not call them if interest rates decline.
3. Because short-term interest rates are much more volatile than long-term rates, you would, in the real world, generally be subject to much more price risk if you purchased a 30-day bond than if you bought a 30-year bond.
4. Which of the following statements is CORRECT?
a. All else equal, high-coupon bonds have less reinvestment risk than low-coupon bonds.
b. All else equal, long-term bonds have less price risk than short-term bonds.
c. All else equal, low-coupon bonds have less price risk than high-coupon bonds.
d. All else equal, short-term bonds have less reinvestment risk than long-term bonds.
e. All else equal, long-term bonds have less reinvestment risk than short-term bonds.
5.Effective interest rate (EFF%) accounts for compounding while nominal interest rate ignores compounding
6. Morin Company's bonds mature in 8 years, have a par value of $1,000, and make an annual coupon interest payment of $65. The market requires an interest rate of 8.2% on these bonds. What is the bond's price?
7. Sadik Inc.'s bonds currently sell for $1,180 and have a par value of $1,000. They pay a $105 annual coupon and have a 15-year maturity, but they can be called in 5 years at $1,100. What is their yield to call (YTC)?
8. You sold a car and accepted a note with the following cash flow stream as your payment. What was the effective price you received for the car assuming an interest rate of 6.0%?
Years: 0 1 2 3 4
| | | | |
CFs: $0 $1,000 $2,000 $2,000 $2,000
9. Master Card and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 18.00%, with interest paid monthly, what is the card's EFF%?
10. Suppose you have $2,000 and plan to purchase a 10-year certificate of deposit (CD) that pays 6.5% interest, compounded annually. How much will you have when the CD matures?
1. The process of finding present value (PV) from future value (FV) is called compounding process, while the process of finding FV from PV is called discounting process.
2. Your bank account pays an 8% nominal rate of interest. The interest is compounded quarterly. Which of the following statements is CORRECT?
a. The periodic rate of interest is 2% and the effective rate of interest is 4%.
b. The periodic rate of interest is 8% and the effective rate of interest is greater than 8%.
c. The periodic rate of interest is 4% and the effective rate of interest is less than 8%.
d. The periodic rate of interest is 2% and the effective rate of interest is greater than 8%.
e. The periodic rate of interest is 8% and the effective rate of interest is also 8%.
3. Which of the following statements is CORRECT?
a. If a coupon bond is selling at par, its current yield equals its yield to maturity.
b. If a coupon bond is selling at a discount, its price will continue to decline until it reaches its par value at maturity.
c. If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond.
d. If a bond’s yield to maturity exceeds its annual coupon, then the bond will trade at a premium.
e. If a coupon bond is selling at a premium, its current yield equals its yield to maturity.
4. You want to buy a new sports car 3 years from now, and you plan to save $4,200 per year, beginning one year from today. You will deposit your savings in an account that pays 5.2% interest. How much will you have just after you make the 3rd deposit, 3 years from now?
5. Steve and Ed are cousins who were both born on the same day, and both turned 25 today. Their grandfather began putting $2,500 per year into a trust fund for Steve on his 20th birthday, and he just made a 6th payment into the fund. The grandfather (or his estate's trustee) will make 40 more $2,500 payments until a 46th and final payment is made on Steve's 65th birthday. The grandfather set things up this way because he wants Steve to work, not be a "trust fund baby," but he also wants to ensure that Steve is provided for in his old age.
Until now, the grandfather has been disappointed with Ed, hence has not given him anything. However, they recently reconciled, and the grandfather decided to make an equivalent provision for Ed. He will make the first payment to a trust for Ed today, and he has instructed his trustee to make 40 additional equal annual payments until Ed turns 65, when the 41st and final payment will be made. If both trusts earn an annual return of 8%, how much must the grandfather put into Ed's trust today and each subsequent year to enable him to have the same retirement nest egg as Steve after the last payment is made on their 65th birthday?
6. Assume that you are considering the purchase of a 20-year, noncallable bond with an annual coupon rate of 9.5%. The bond has a face value of $1,000, and it makes semiannual interest payments. If you require an 8.4% nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?
7. McCue Inc.'s bonds currently sell for $1,250. They pay a $90 annual coupon, have a 25-year maturity, and a $1,000 par value, but they can be called in 5 years at $1,050. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. What is the difference between this bond's YTM and its YTC? (Subtract the YTC from the YTM; it is possible to get a negative answer.)
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