A company issued an annual-pay bond with the following characteristics:
Face value |
$67,831 |
Maturity |
4 years |
Coupon |
7% |
Market interest rates |
8% |
What is the present value of the interest payments on the date when the bonds are issued?
Present value of the interest payments on the date of issue is $15,726. I/Y = 8.00%; N = 4; PMT = $4,748.17 ($67,831 × 0.07 ); FV = $0; CPT → PV.
What is the unamortized discount on the date when the bonds are issued?
The unamortized discount at the time bonds are issued will be $2,249. Face value of bonds = $67,831 Proceeds from bond sale = $65,582 [I/Y = 8.00%; N = 4; PMT = $4,748.17 ($67,831 × 0.07); FV = $67,831; CPT → PV] Unamortized discount = $2,249 ($67,831 ? $65,582)
What is the unamortized discount at the end of the first year?
The unamortized discount will decrease by $499 at the end of first year and will be $1,750. Interest expense = $5,247 ($65,582 × 0.08) Coupon payment = $4,748 ($67,831 × 0.07) Change in discount = $499 ($5,247 ? $4,748) Discount at the end of first year = $1,750 ($2,249 ? $499)
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