Question

In: Finance

A bond with 10 years to maturity has a face value of $1,000.  The bond pays an...

A bond with 10 years to maturity has a face value of $1,000.  The bond pays an 8 percent semiannual coupon, and the bond has a 10.8 percent nominal yield to maturity.  What is the price of the bond today?

Solutions

Expert Solution

Price of Bond = PV of CFs from it.

Period CF PVF @5.4% Disc CF
1 $      40.00     0.9488 $   37.95
2 $      40.00     0.9002 $   36.01
3 $      40.00     0.8540 $   34.16
4 $      40.00     0.8103 $   32.41
5 $      40.00     0.7688 $   30.75
6 $      40.00     0.7294 $   29.18
7 $      40.00     0.6920 $   27.68
8 $      40.00     0.6566 $   26.26
9 $      40.00     0.6229 $   24.92
10 $      40.00     0.5910 $   23.64
11 $      40.00     0.5607 $   22.43
12 $      40.00     0.5320 $   21.28
13 $      40.00     0.5047 $   20.19
14 $      40.00     0.4789 $   19.16
15 $      40.00     0.4544 $   18.17
16 $      40.00     0.4311 $   17.24
17 $      40.00     0.4090 $   16.36
18 $      40.00     0.3880 $   15.52
19 $      40.00     0.3682 $   14.73
20 $      40.00     0.3493 $   13.97
20 $1,000.00     0.3493 $ 349.29
Price Today $ 831.30

Related Solutions

A bond with 30 years to maturity has a face value of $1,000. The bond pays...
A bond with 30 years to maturity has a face value of $1,000. The bond pays an 8 percent semiannual coupon, and the bond has a 7 percent nominal yield to maturity. What is the price of the bond today? DO NOT USE EXCEL
1. A bond with 10 years to maturity has a face value of $1,000. The bond...
1. A bond with 10 years to maturity has a face value of $1,000. The bond can be called in four years for $1050. The bond pays an 6 percent semiannual coupon, and the bond has a 3.3 percent nominal yield to maturity.  What is the price of the bond today assuming that it will be called? 2. A corporate bond that matures in 12 years pays a 9 percent annual coupon, has a face value of $1,000, and a current...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 7.7%, and sells for $1,130. Interest is paid annually. a. If the bond has a yield to maturity of 10.3% 1 year from now, what will its price be at that time? (Do not round intermediate calculations.) b. What will be the annual rate of return on the bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 7.1%, and sells for $1,190. Interest is paid annually. (Assume a face value of $1,000 and annual coupon payments.) a. If the bond has a yield to maturity of 10.9% 1 year from now, what will its price be at that time? (Do not round intermediate calculations. Round your answer to nearest whole number.) b. What will be the rate of return...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 7.6%, and sells for $1,140. Interest is paid annually. (Assume a face value of $1,000 and annual coupon payments.) a. If the bond has a yield to maturity of 10.4% 1 year from now, what will its price be at that time? (Do not round intermediate calculations. Round your answer to nearest whole number.) b. What will be the rate of return...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon...
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 8.9%, and sells for $1,110. Interest is paid annually. a. If the bond has a yield to maturity of 9.1% 1 year from now, what will its price be at that time? (Do not round intermediate calculations. Round your anser to nearest whole number.) b. What will be the annual rate of return on the bond? (Do not round intermediate calculations. Enter...
A bond with a face value of $1000 and maturity of exactly 20 years pays 10%...
A bond with a face value of $1000 and maturity of exactly 20 years pays 10% annual coupon. This bond is currently selling at an annual yield-to-maturity (YTM) of 12%. Answer the following questions for this bond. a. Calculate the current price of the bond by discounting all the cash flows of the bond using the timeline method. b. Calculate the modified duration of the bond without using any Excel built-in function. (calculate PV of each cash flow, find the...
Bond A is a 10% coupon bond with a face value of $1,000 and a maturity...
Bond A is a 10% coupon bond with a face value of $1,000 and a maturity of 3 years. The discount rate (required return, or interest rate) is 8% now or in the future. A. What is the bond price now, in year 1, in year 2, and in year 3      (P0,P1,P2 and P3)? B. If you buy the bond now and hold it for one year, what is the      (expected) rate of return? C. If you buy...
A bond has 1,000 par value , 17 years to maturity and pays a coupon of...
A bond has 1,000 par value , 17 years to maturity and pays a coupon of 5.25 per year semi annually. The bond is callable in 7 years at 105% of its par value. if the blnfs yield to call is 5.06% per year, what is its annual yield to maturity
A bond has a $1,000 par value, 14 years to maturity, and pays a coupon of...
A bond has a $1,000 par value, 14 years to maturity, and pays a coupon of 8.25% per year, annually. You expect the bond’s yield to maturity to be 7.0% per year in five years. If you plan to buy the bond today and sell it in five years, what is the most that you can pay for the bond and still earn at least a 9.0% per year return on your investment?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT