In: Finance
1. Lycan, Inc., has 8.7 percent coupon bonds on the market that have 10 years left to maturity. The bonds make annual payments and have a par value of $1,000. If the YTM on these bonds is 10.7 percent, what is the current bond price? (Show your work. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) 2. The Timberlake-Jackson Wardrobe Co. has 11.8 percent coupon bonds on the market with eight years left to maturity. The bonds make annual payments and have a par value of $1,000. If the bonds currently sell for $1,124.97, what is the YTM? (Show your work. Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) 3. You purchase a bond with a coupon rate of 9.4 percent, a par value of $1,000, semiannual coupons, and a clean price of $820. If the next coupon payment is due in three months, what is the invoice price? (Show your work. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
1 | Current Bond Price=Present Value of future cash in flows | |||||
Par Value of Bonds | $1,000 | |||||
Pmt | Annual Coupon amount =8.7%*1000 | $87 | ||||
Rate | Yield to Maturity | 10.70% | ||||
Nper | Number of years to maturity | 10 | ||||
Fv | Payment at maturity | $1,000 | ||||
PV | Current Bond Price | $880.72 | ||||
(Using PV function of excel | ||||||
2 | YTM of the bond | |||||
Par Value of Bonds | $1,000 | |||||
Pmt | Annual Coupon amount =11.8%*1000 | $118 | ||||
Pv | Current Bond Price | $1,124.97 | ||||
Nper | Number of years to maturity | 8 | ||||
Fv | Payment at maturity | $1,000 | ||||
RATE | YTM of the bond | 9.50% | ||||
(Using RATE function of excel) | ||||||
3 | Invoice Price=Clean Price PLUS Interest | |||||
Par Value | $1,000 | |||||
Interest rate | 9.40% | |||||
Semi annual Coupon =(1000*9.4%)/2 | $47.00 | |||||
Three months interest =47*(3/6)= | $23.50 | |||||
Clean Price | $820 | |||||
Invoice Price =820+23.50= | $843.50 | |||||