Face Value of Bonds | = | $300,000,000 | ||||
Life of Bonds (in years) | = | 15 | ||||
Maturity amount of Bonds | $300,000,000 | |||||
Coupon rate | = | 6% per year payable semi annually i.e. 3% per semi annual | ||||
Semi annual Coupon Amount | = | $300,000,000 | × | 3.00% | ||
= | $9,000,000 | This will be paid 30 times | ||||
n | = | 15 years * 2 = 30 semi annuals | ||||
1 | Computation of price of the bonds at June 30, 2021:- | |||||
Market rate on similar Notes (r) | = | 4% p.a. | ||||
= | 2% per semi annual | |||||
PVAF(r, n) | = | Present Value Annuity factor at r% for n periods | ||||
Present Value of an Annuity of $1 at 2% for 30 periods | = | 22.39646 | ||||
PVIF(r, n) | = | Present Value interest factor at r% for n periods | ||||
Present Value of $1 at 2% at n= 30 periods | = | 0.55207 | ||||
Price of Bond | = | Coupon Amount * PVAF(r,n) | + | Maturity Amount * PVIF(r,n) | ||
Table values are based on: | ||||||
n = | 30 | |||||
r = | 2% | |||||
Cash Flow | Table Value | Amount | Present value | |||
a | b | c = a*b | ||||
Interest (annuity) | 22.39646 | $9,000,000 | $201,568,140 | |||
Principal (maturity) value | 0.55207 | $300,000,000 | $165,621,000 | |||
Price of bonds | $367,189,140 | |||||
2 | Effective Interest Amortization Table :- | |||||
Schedule of Interest Expense and Bond Discount Amortization | ||||||
Effective Interest Method | ||||||
Date | Cash Interest Paid (3%) | Bond Interest Expense (2%) (Beginning Carrying Value*2%) | Premium Amortization (Cash Payment - Interest Expense) | Carrying Value | ||
a | b | c | d = b-c | e = Beginning Carrying Value - d | ||
06/30/2021 | $ 367,189,140 | |||||
12/31/2021 | $ 9,000,000 | $ 7,343,783 | $ 1,656,217 | $ 365,532,923 |
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