What is the market value of a State of Ohio bond with a 9 percent coupon, maturing in 3 years if the market rate for the bond is 3 percent and interest payments are made annually?
Let par value of the bond be $100
Coupon rate = 9% with annual frequency
Coupon amount = 9%*100 = $9
Number of years = 3
Market rate of the bond = 3%
The market value of bond = Present value of the coupons and principal
It can be calculated using PV function in Excel
=PV(RATE, NPER,PMT,FV,TYPE)
RATE = Market rate = 3%
NPER = 3
PMT = Coupon amount = 9
FV = Par value = 100
Thus, market value = PV(3%,3,9,100,0)
= $116.97
Thus, market value of the bond is $116.97 per $100 of par value
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