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Coney Island Entertainment issues $1,300,000 of 5% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year.
Calculate the issue price of a bond and complete the first three rows of an amortization schedule when:
Required:
1. The market interest rate is 5% and the bonds issue at face amount. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Do not round interest rate factors.)
Issue price
Date Cash Paid Interest Expense Increase in Carrying value Carrying value
1/1
6/30
13/31
2. The market interest rate is 6% and the bonds issue at a discount. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Do not round interest rate factors.)
3. The market interest rate is 4% and the bonds issue at a premium. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Do not round interest rate factors.)

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Answer:

1) The market interest rate is 5% and the bonds issue at face amount.

Dr Cash 1,300,000

    Cr Bonds payable 1,300,000

Year         Interest payment       Book value of bonds

June/1          $32,500                 $1,300,000

Dec/1            $32,500                 $1,300,000

June/2         $32,500                 $1,300,000

2) The market interest rate is 6% and the bonds issue at a discount.

price of bonds:

PV of face value = $1,300,000 / (1 + 3%)³⁰ = $535,582.79

PV of coupons = $32,500 x 19.600 (PV annuity factor, 3%, 30 periods) = $637,000

market price = $1,172,582.79

Dr Cash 1,172,582.79

Dr Discount on bonds payable 127,417.21

    Cr Bonds payable 1,300,000

discount amortization per coupon payment = $127,417.21 / 30 = $4,247.24

Year     Cash paid      Interest        Amortization       Bond           Book

                                   expense      bond discount    discount      value

June/1   $32,500   $36,747.24     $4,247.24     $123,169.97   $1,176,830.03

Dec/1    $32,500   $36,747.24     $4,247.24     $118,922.73    $1,181,077.27

June/2  $32,500   $36,747.24     $4,247.24     $114,675.49   $1,185,324.51

3. The market interest rate is 4% and the bonds issue at a premium.

price of bonds:

PV of face value = $1,300,000 / (1 + 2%)³⁰ = $717,692.16

PV of coupons = $32,500 x 22.396 (PV annuity factor, 2%, 30 periods) = $727,870

market price = $1,445,562.16

Dr Cash 1,445,562.16

    Cr Bonds payable 1,300,000

    Cr Premium on bonds payable 145,562.16

discount amortization per coupon payment = $145,562.16 / 30 = $4,852.07

Year     Cash paid      Interest        Amortization       Bond           Book

                                   expense      bond discount    premium     value

June/1   $32,500   $27,647.93     $4,852.07    $140,710.09   $1,440,710.09

Dec/1    $32,500   $27,647.93     $4,852.07    $135,858.02   $1,435,858.02

June/2  $32,500   $27,647.93     $4,852.07    $131,005.95   $1,431,005.95

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