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WISTA Berhad issued bonds which have a coupon rate of 8%, par value of RM1,000 and will mature in 3 years
WISTA Berhad issued bonds which have a coupon rate of 8%, par value of RM1,000 and will mature in 3 years. Assume that the required rate of return is 7% and the interest is paid annually. What is the price that you would be willing to pay for the bond?
Expert Solution
Price of the bond can be calculated by the following formula:
Bond price = Present value of interest payment + Present value of bond payment at maturity
Semi annual bond interest = 8% * $1000 = $80
Bond interest payments will be annual every year, so it is an annuity. Bond payment at maturity is a one time payment. The interest rate that will be used in calculating the required present values will be the annual interest rate, which is 7%, with 3 periods.
Now,
First we will calculate the present value of interest payments:
For calculating the present value, we will use the following formula:
PVA = P * (1 - (1 + r)-n / r)
where, PVA = Present value of annuity, P is the periodical amount = $80, r is the rate of interest = 7% and n is the time period = 3
Now, putting these values in the above formula, we get,
PVA = $80 * (1 - (1 + 7%)-3 / 7%)
PVA = $80 * (1 - ( 1+ 0.07)-3 / 0.07)
PVA = $80 * (1 - ( 1.07)-3 / 0.7)
PVA = $80 * ((1 - 0.81629787689) / 0.07)
PVA = $80 * (0.1837021231 / 0.07)
PVA = $80 * 2.62431604442
PVA = $209.94
Next, we will calculate the present value of bond payment at maturity:
For calculating present value, we will use the following formula:
FV = PV * (1 + r%)n
where, FV = Future value = $1000, PV = Present value, r = rate of interest = 7%, n= time period = 3
now, putting theses values in the above equation, we get,
$1000 = PV * (1 + 7%)3
$1000 = PV * (1 + 0.07)3
$1000 = PV * (1.07)3
$1000 = PV * 1.225043
PV = $1000 / 1.225043
PV = $816.30
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