Question

In: Accounting

On January 1 st 2012, Everhart Corporation, a calendar year company issues $100,000, 5%, 5-year bonds...

On January 1 st 2012, Everhart Corporation, a calendar year company
issues $100,000, 5%, 5-year bonds dated January 1, 2012. The bond pays
interest semiannually on January 1 and July 1 . The bonds are issued
to yield 6%.

Solutions

Expert Solution

Answer:- The present value of bond investment = $96162.

Explanation-Calculation of selling price of bond at issuance=

                B0 =C/2 {1-(1+r/2)-2t}/ r/2 +F/(1+r/2)-2t

Where:-

Bo = Bond price

C= Coupon payment

r = Interest Rate

F= Face value

t = Years/Periods

Since the interest is paid semi-annually the bond interest rate per period is 2.5% (= 5%/ 2), the market interest rate is 3% (= 6%/ 2) and number of time periods are 10 (= 2*5). Hence, the price of the bond is calculated as the present value of all future cash flows as shown below:-

Price of Bond =2.5%*$100000*{1-(1+3%)-10/3%} +$100000/(1+3%)10

                         =($2500*8.5302)+ ($100000*0.7441)

                         = $21752+$74410

                         =$96162


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