1. A bond with a $1,000 par value has an 8 percent annual coupon rate. It will mature in 4 years, and annual coupon payments are made at the end of each year. Present annual yields on similar bonds are 6 percent. What should be the current price?
2. A bond with a ten percent coupon rate bond pays interest semi-annually. Par value is $1,000. The bond has three years to maturity. The investors' required rate of return is 12 percent. What is the present value of the bond?
3. A bond with a 12 percent quarterly coupon rate has a yield to maturity of 16 percent. The bond has a par value of $1,000 and matures in 20 years. Based on this information, a fair price of this bond is $____.
4. Zero coupon bonds with a par value of $1,000,000 have a maturity of 10 years, and a required rate of return of 9 percent. What is the current price?
5. Assume that the price of a $1,000 zero coupon bond with five years to maturity is $567 when the required rate of return is 12 percent. If the required rate of return suddenly changes to 15 percent, what is the price elasticity of the bond?
6. An insurance company purchases corporate bonds in the secondary market with six years to maturity. Total par value is $55 million. The coupon rate is 11 percent, with annual interest payments. If the expected required rate of return in 4 years is 9 percent, what will the market value of the bonds be then?
7. A $1,000 par bond with five years to maturity is currently priced at $892. Annual interest payments are $90. What is the yield to maturity?
8. A bank buys bonds with a par value of $25 million for $24,040,000. The coupon rate is 10 percent, and the bonds pay annual payments. The bonds mature in four years. The bank wants to sell them in two years, and estimates the required rate of return in two years will be 8 percent. What will the market value of the bonds be in two years?
9. Morgan would like to purchase a bond that has a par value of $1,000, pays $80 at the end of each year in coupon payments, and has 10 years remaining until maturity. If the prevailing annualized yield on other bonds with similar characteristics is 6 percent, how much will Morgan pay for the bond?
10. Sioux Financial Corp. has forecasted its bond portfolio value for one year ahead to be $105 million. In one year, it expects to receive $10,000,000 in coupon payments. The bond portfolio today is worth $101 million. What is the forecasted return of this bond portfolio?
11. Hurricane Corp. recently purchased corporate bonds in the secondary market with a par value of $11 million, a coupon rate of 12 percent (with annual coupon payments), and four years until maturity. If Bullock intends to sell the bonds in two years and expects investors' required rate of return at that time on similar investments to be 14 percent at that time, what is the expected market value of the bonds in two years?
12. Assume a bond with a $1,000 par value and an 11 percent coupon rate, two years remaining to maturity, and a 10 percent yield to maturity. The duration of this bond is
13. Assume a bond with a $1,000 par value and an 11 percent coupon rate, two years remaining to maturity, and a 10 percent yield to maturity. The modified duration of this bond is
14. Stephanie would like to purchase a bond that has a par value of $1,000, pays $80 at the end of each year in coupon payments, and has ten years remaining until maturity. If the prevailing annualized yield on other bonds with similar characteristics is 6 percent, how much will Stephanie pay for the bond?
15. Julia just purchased a $1,000 par value bond with a 10 percent annual coupon rate and a life of twenty years. The bond has four years remaining until maturity, and the yield to maturity is 12 percent. How much did Julia pay for the bond?
16. A $1,000 par value bond, paying $50 semiannually, with an 8 percent yield to maturity and five years remaining to maturity should sell for
17. Because of a change in the required rate of return from 11 percent to 13 percent, the bond price of a zero-coupon bond will fall from $1,000 to $860. Thus, the bond price elasticity for this bond is
18. The required rate of return on a certain bond changes from 12 percent to 8 percent, causing the price of the bond to change from $900 to $1,100. The bond price elasticity of this bond is
19. Assume a bond with a $1,000 par value and an 11 percent coupon rate, two years remaining to maturity, and a 10 percent yield to maturity. The duration of this bond is ____ years.
20. A bond has a $1,000 par value and an 8 percent coupon rate. The bond has four years remaining to maturity and a 10 percent yield to maturity. This bond's modified duration is ____ years.