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Exercise 5-17 (Algo) Price of a bond; interest expense (LO5-9,5-10) On June 30, 2021, Singleton Computers issued 6% stated ra
TABLE 1 Future Value of $1 FV 101 2005 1 5.0 55560 704 0 9 04 100 110 120 101000101500 103000 1.02500 1.03000 103500 104000 1
TABLE 2 Present Value of $1 PU = (1+1 104 1.54 2.046 2.54 3.0% 35% 40% 45% 50% 55% 6.0% 70% 8.0% 0.0% 0.0% 10% 20% 20.0% 10.
TABLE 3 Future Value of an ordinary Annuity of $1 PVA (+)-1 + 50% 55 1 10000 20500 20% 1.5% 2.09 2.54 3.04 3.5% 40% 45 10000
TABLE 4 Present Value of an Ordinary Annuity of $1 I 1-2 PVA 0897 907 951 901 8060 19516060160 225160010650 900 9021 SOWO 960
TABLE 5 Future Value of an Annuity Due of $1 FVAD [4+* - 4) **1 +0 * 10% 1.5% 2.0% 15% 30% 33% 40% 45% 50% 1 10100 10150 1020
CABLE 6 Present Value of an Annuity Due of $1 PVAD (1+0) 1 2 3 4 5 104 1.546 2.04 3.5% 3.04 100000 100000 100000 100000 10000
Exercise 5-17 (Algo) Price of a bond; interest expense (LO5-9, 5-10) On June 30, 2021, Singleton Computers issued 6% stated r
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Answer #1
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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