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On September 30, 2018, the San Filipo Corporation issued 8% stated rate bonds wi

ID: 2554599 • Letter: O

Question

On September 30, 2018, the San Filipo Corporation issued 8% stated rate bonds with a face amount of $120 million. The bonds mature on September 30, 2038 (20 years). The market rate of interest for similar bonds was 10%. Interest is paid semiannually on March 31 and September 30. ((FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: Determine the price of the bonds on September 30, 2018. (Enter your answers in whole dollars. Round your final answers to nearest whole dollar amount.) Table values are based on: n- Cash Flow Interest Principal Amount Present Value Price of bonds

Explanation / Answer

Face value of bonds

$120,000,000

Coupon rate (half yearly) (I)

4%

Semi-annual interest

$4,800,000

No of periods (semi-annual) (N)

40

Calculation of present value

Particulars

Cash flow

Factor @5% (10%/2)

Present value

Interest

$4,800,000

17.15909

$82,363,632

Principle repayment

$120,000,000

0.14205

$17,046,000

Present value

$99,409,632

Value of bond as on 30 sep 2018

$99,409,632

Face value of bonds

$120,000,000

Coupon rate (half yearly) (I)

4%

Semi-annual interest

$4,800,000

No of periods (semi-annual) (N)

40

Calculation of present value

Particulars

Cash flow

Factor @5% (10%/2)

Present value

Interest

$4,800,000

17.15909

$82,363,632

Principle repayment

$120,000,000

0.14205

$17,046,000

Present value

$99,409,632

Value of bond as on 30 sep 2018

$99,409,632

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