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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:

±Ê°ù±ð²õ±ð²Ô³Ù V²¹±ô³Ü±ð= F³Ü³Ù³Ü°ù±ð V²¹±ô³Ü±ð× P³Õ f²¹³¦³Ù´Ç°ù o´Ú i=6%, n=20=$600,000× 0.312=$187,200 

Present value of interest:

±Ê°ù±ð²õ±ð²Ô³Ù V²¹±ô³Ü±ð=‼´Ç³Ü²Ô³Ù o´Ú e²¹³¦³ó c²¹²õ³ó f±ô´Ç·É â¶Ä‰Ã—â¶Ä¼î²Ô²Ô³Ü¾±³Ù²â â¶Ä‰P³Õ f²¹³¦³Ù´Ç°ù o´Ú i=6%, n=20=$27,750× 11.470=$318,293 

Present value at issuance:

±Ê°ù±ð²õ±ð²Ô³Ù V²¹±ô³Ü±ð= P°ù±ð²õ±ð²Ô³Ù â¶Ä‰V²¹±ô³Ü±ð â¶Ä‰o´Ú â¶Ä‰P°ù¾±²Ô³¦¾±±è²¹±ô+ P°ù±ð²õ±ð²Ô³Ù â¶Ä‰V²¹±ô³Ü±ð â¶Ä‰o´Ú I²Ô³Ù±ð°ù±ð²õ³Ù= $187,200+ $318,293= $505,493

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