Interest and Investing Research Assignment Paper
Jason Greg is a recent retiree who is interested in investing some of his savings in corporate bonds. Listed below are the bonds he is considering adding to his portfolio.
Bond A has a 7.5% semiannual coupon, matures in 12 years, and has a $1,000 face value. Bond B has a 10% semiannual coupon, matures in 12 years, and has a $1,000 face value. Bond C has an 11.5% semiannual coupon, matures in 12 years, and has a $1,000 face value.
Each bond has a YTM of 10%.
a. Before calculating the prices of the bonds, indicate whether each bond is trading at a premium, discount or par.
b. Calculate the price of each of these bonds.
c. Calculate the current yield for each bond.
d. If the yield to maturity for each bond remains at 9%, what will be the price of each bond 1 year from now?
e. Price each bond and explain how the number of years to maturity and the coupon rate affect the current price of bonds. Assume a YTM of 7%.
1. A 4-year bond with a 9% annual coupon
2. A 4-year bond with a zero coupon
3. A 15-year bond with a 9% annual coupon
4. A 15-year bond with a zero coupon
Provide a written explanation of calculations.
Each bond has a YTM of 10%.
a. Before calculating the prices of the bonds, indicate whether each bond is trading at a premium, discount or par. Bond A Coupon rate 7.5% Yield to maturity =10%
- Coupon rate< YTM and the bond is trading at a discount
- Coupon rate = Yield to maturity =10% and bond is selling at par
- Coupon rate >Yield to maturity and bond is selling at premium.
b. Calculate the price of each of these bonds. Bond A Bo= 75/2[1-(1+.075/2)-2*12)/ 0.075/2)]+1000/(1+0.075/2)2*12= $ 827.52 Bond B 100/2[1-(1+.1/2)-2*12)/ 0.1/2)] +1000/ (1+0.1/2)2*12= $1,000 Bond C Bo=115/ 2[1-(1+.115/2)-2*12)/ 0.115/2)] +1000/ (1+115/2)2*12= $ 1103.49
Premium price have a greater value than the face value ($ 1,000) and the effective rate is set at a premium (Albrecht, Stice & Stice, 2010). c. Calculate the current yield for each bond. Bond A
- Face value=$1,000
- Payments= 7.5%*1000=75
- N=12*2=24
- Market price= 827.52
- Current yield =75/ $ 827.52= 0.0906=9.06%
- Face value=$1,000
- Payments= 10%*1000=100
- Market price=1,000
- Current yield =100/ 1000= 10%
- Face value=$1,000
- Payments= 11.5%*1000=115
- Market price= $ 903.66
- Current yield =115/ $ 1103.49= 0.1042= 10.42%
- The coupon payment is .115 of $ 1,000 and since the current market price $ 1103.49 the current yield is 10.42%
d. If the yield to maturity for each bond remains at 9%, what will be the price of each bond 1 year from now?
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