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Determining the present value of bond at issuance

On December 31, 2018, when the market interest rate is 12%, Benson Realty issues

$600,000 of 9.25%, 10-year bonds payable. The bonds pay interest semi annually.

Determine the present value of the bonds at issuance.

Short Answer

Expert verified

The present value of the bond as issuance is $505,493

Step by step solution

01

Definition of cash flow

The cash flow the inflow and outflow of the cash and other items which are equivalent to the cash during a period.

02

Present value of the bonds at issuance

Present value of principal:

Present Value= Future Value× PV factor of i=6%, n=20=$600,000× 0.312=$187,200 

Present value of interest:

Present Value= Amount of each cash flow  × Annuity  PV factor of i=6%, n=20=$27,750× 11.470=$318,293 

Present value at issuance:

Present Value= Present  Value  of  Principal+ Present  Value  of Interest= $187,200+ $318,293= $505,493

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