In: Accounting
Issue Price
The following terms relate to independent bond issues:
500 bonds; $1,000 face value; 8% stated rate; 5 years; annual interest payments
500 bonds; $1,000 face value; 8% stated rate; 5 years; semiannual interest payments
800 bonds; $1,000 face value; 8% stated rate; 10 years; semiannual interest payments
2,000 bonds; $500 face value; 12% stated rate; 15 years; semiannual interest payments
Required:
Assuming the market rate of interest is 10%, calculate the selling price for each bond issue. Refer to the tables above for present value factors. If required, round all calculations to the nearest dollar.
500 Bonds; $1000 Face Value; 8% Stated Rate; 5 Years; Annual Interest Payments: | ||
Face Value | 1000 | |
Stated Rate | 8% | |
Interest Payments | Annual | |
Coupon Rate | 8% | |
Coupon Interest | 80 | |
Maturity Period | 5 years | |
Period | 5 | |
Market Rate | 10% | |
Selling Price: | ||
PVAF (10%, 5) | 3.790786769 | |
PV of Interest (80* 3.790786769) | 303.2629415 | |
PVIF (10%, 5) | 0.620921323 | |
PV of Maturity Value (1000*0.620921323) | 620.921323 | |
Selling Price | 924.1842645 | |
500 Bonds; $1000 Face Value; 8% Stated Rate; 5 Years; Semi Annual Interest Payments: | ||
Face Value | 1000 | |
Stated Rate | 8% | |
Interest Payments | Semi Annual | |
Coupon Rate | 4% | |
Coupon Interest | 40 | |
Maturity Period | 5 years | |
Period | 10 | |
Market Rate | 5% | |
Selling Price: | ||
PVAF (5%, 10) | 7.721734929 | |
PV of Interest (40*7.721734929) | 308.8693972 | |
PVIF (5%, 10) | 0.613913254 | |
PV of Maturity Value (1000*0.613913254) | 613.913254 | |
Selling Price | 922.7826512 | |
800 Bonds; $1000 Face Value; 8% Stated Rate; 10 Years; Semi Annual Interest Payments: | ||
Face Value | 1000 | |
Stated Rate | 8% | |
Interest Payments | Semi Annual | |
Coupon Rate | 4% | |
Coupon Interest | 40 | |
Maturity Period | 10 years | |
Period | 20 | |
Market Rate | 5% | |
Selling Price: | ||
PVAF (5%, 20) | 12.46221034 | |
PV of Interest (40*12.46221034) | 498.4884136 | |
PVIF (5%, 20) | 0.376889483 | |
PV of Maturity Value (1000*0.376889483) | 376.889483 | |
Selling Price | 875.3778966 | |
2000 Bonds; $500 Face Value; 12% Stated Rate; 15 Years; Semi Annual Interest Payments: | ||
Face Value | 500 | |
Stated Rate | 12% | |
Interest Payments | Semi Annual | |
Coupon Rate | 6% | |
Coupon Interest | 30 | |
Maturity Period | 15 years | |
Period | 30 | |
Market Rate | 5% | |
Selling Price: | ||
PVAF (5%, 30) | 15.372451 | |
PV of Interest (30*15.372451) | 461.17353 | |
PVIF (5%, 30) | 0.2313774 | |
PV of Maturity Value (500*0.2313774) | 115.6887 | |
Selling Price | 576.86223 |