In: Accounting
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%. |
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