Chinook Inc has available for issue a 3245000 bond due in ei
Chinook Inc. has available for issue a $3,245,000 bond due in eight years. Interest at the rate of 10.50% is to be paid semiannually. Calculate the issue price if the market interest rate is: (Do not round intermediate calculations. Round the final answers to the nearest whole dollar amount.)
a.10.00%
b.10.50%
c.11.25%
Solution
Calculation of issue price:
A) When Market Interest Rate is : 10%
Issue Price = Present Value of Lumpsum + Present Value of Interest Payments
Number of Periods = 16
Market Rate = 5% ( semi anually)
Interest Rate = 5.25% ( semi anually)
Issued at $3,245,000
Present value of lumpsum = $3,245,000/[(1.05) Power 16] = $1,486,571.89
Present value of interest payments = ($3,245,000*5.25%)*(1/(1.0525 power 16) and GT)
= $170362.50*10.6475
= $1,813,934.72
Issue Price = $1486571.89 + $1813934.72 = $3,300,507 (rounded off)
B) When Market Rate and Interest Rate are same Issue Price Will also be same i.e., $3,245,000
C)When Market Rate is : 11.25%
Issue Price = Present Value of Lumpsum + Present Value of Interest Payments
Number of Periods = 16
Market Rate = 5.625% ( semi anually)
Interest Rate = 5.25% ( semi anually)
Issued at $3,245,000
Present value of lumpsum = $3,245,000/[(1.05625) Power 16] = $1,351,908.04
Present value of interest payments = ($3,245,000*5.25%)*(1/(1.0525 power 16) and GT)
= $170362.50*10.6475
= $1,813,934.72
Issue Price = $1351908.04 + $1813934.72 = $3,165,843 (Rounded off)
