In: Finance
You are considering the purchase of a $1,000 par value bond with a 6.5% coupon rate (with coupon paid semiannually) that matures in 12 years. If the bond yield is 8%, what is the bond’s current price? Whether this bond trades at a premium or at a discount?
Coupen Rate ( per year) = | 6.5% | ||||
Coupen rate (semi annually) = | 3.25% | ||||
Maturity = | 12 | ||||
Period = | 24 | ||||
Face Value = | $1,000 | ||||
Coupen amoount semi annually = | 1000*3.25% | ||||
$ 32.50 | |||||
YTM Annually | 8% | ||||
Semi annually | 4% | ||||
Present value Annuity Factor ( 3%, 16) = | 1/(1.04)^1 + 1/1.04)^2 +……………. 1/(1.04)^24 | ||||
15.2469 | |||||
price of bond = | Coupen * PVAF(YTM, n) + Redemption value*PVF(YTM,n) | ||||
32.5*15.2469 + 1000 * 1/ (1.04)^24 | |||||
$ 495.524 | +1000*.3901 | ||||
$ 885.62 |
Price of Bond is $ 885.62 the Bond is selling at Discount