In: Finance
A 5000 face value bond with a term of 10 years and a coupon rate of 8% payable quarterly is purchased to yield 7.2% convertible quarterly. Find the purchase price.
price of coupon = Coupon payment per period * [1-(1+i)^-n]/i + par value/(1+i)^n
i = interest rate per period
n = number of periods
=>
Price = (5000*0.08/4) * [1-(1+0.072/4)^-40]/(0.072/4) + 5000/(1+0.072/4)^40
= 5283.40