Question

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January 1, 2012 Kristy Corp is issuing 400,000 of 10% 3-year bonds with semiannual interest payments. Potential bond investor

Present Value of 1 3.0% 3.5% 4.0% 4.5% 5.0% 55% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 1 0.97087 0.96618 0.96154 0.956

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Answer #1

Answer

  • Full calculation

Amount

PV factor

Present Values

PV of Face Value of

$                       400,000.00

0.79031

$                     316,124.00

PV of Interest payments of

$                          20,000.00

5.24214

$                     104,842.80

Issue Price of Bonds

$                     420,966.80

>PV of Bond payment at maturity = $ 400000 x 0.79031 [at 4% for 6th period] = $ 316124
>PV of bi annual interest payments = ($400000 x 10% x 6/12) x 5.24214 [at 4% for 6th period] = $ 104842.80
>Market price of Bonds = $ 420,966.80

  • Concept

Bonds issue price is calculated by ADDING the:

Discounted face value of bonds payable at 'applicable' market rate of interest [Face value x PV Factor], and

Discounted Interest payments amount (during the lifetime) at 'applicable' market rate of interest [Interest payment x PV Annuity factor]

  • Data used

Annual Rate

Applicable rate, because of Semi Annual payments

Market Rate

8.0%

4.0%

Coupon Rate

10.0%

5.0%

Face Value

$             400,000.00

Term (in years)

3

Total no. of interest payments

6

  • Entry

Date

Accounts titles

Debit

Credit

I Jan 2012

Cash

$          420,968.55

   Premium on Bonds payable

$                20,968.55

   Bonds payable

$              400,000.00

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