Question

In: Accounting

Issue Price The following terms relate to independent bond issues: 500 bonds; $1,000 face value; 8%...

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.

Solutions

Expert Solution

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

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