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Brief Exercise 14-3 Ayayai Corporation issues $400,000 of 9% bonds that are due in 8 years and pay interest semi-annually. At

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Answer #1

Face Value of Bonds = $400,000

Annual Coupon Rate = 9.00%
Semiannual Coupon Rate = 4.50%
Semiannual Coupon = 4.50% * $400,000
Semiannual Coupon = $18,000

Time to Maturity = 8 years
Semiannual Period = 16

Annual Interest Rate = 8.00%
Semiannual Interest Rate = 4.00%

Using factor tables:

Issue Price of Bonds = $18,000 * PVA of $1 (4.00%, 16) + $400,000 * PV of $1 (4.00%, 16)
Issue Price of Bonds = $18,000 * 11.652 + $400,000 * 0.534
Issue Price of Bonds = $423,336

Using financial calculator:

N = 16
I = 4.00%
PMT = 18000
FV = 400000

PV = -423305

Using Excel function:

“=PV(4.00%, 16, 18000, 400000)” is -423305

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