Price of bond | Interest payment*(1-((1+r)^-n)/r) + Face value*(1/(1+r)^n) | |||||
where r represents yield to maturity and n represents number of years. | ||||||
Assuming the par value of bond is $1,000. | ||||||
Interest payment | $36.00 | 1000*(7.2%/2) | ||||
No of payments (n) | 10 | 5*2 | ||||
Semi-annual yield ( r) | 4.50% | 9%/2 | ||||
Price of bond | 36*((1-(1.045^-10))/0.045)+1000*(1/1.045^10) | |||||
Price of bond | 36*7.912718+1000*0.643928 | |||||
Price of bond | $928.79 | |||||
Present value | $928.79 | |||||
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