Question

In: Finance

You are considering the purchase of a $1,000 par value bond with a 6.5% coupon rate...

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?

Solutions

Expert Solution

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


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