One year ago Dell sold 10 year $1000 par value semi annual coupon bonds at a price of $950.00 per bond. Market rate was 9 percent at the time. Today the market rate is 9.5 percent, therefore the bonds are currently selling:
a. at a discount
b. at a premium
c. at par
d. below market price
At the time of purchase
Maturity value of bond (FV) = $1000
No of annual coupon payments pending till maturity (N) = 10
Price of bond (PV) = -$950
Yield to maturity of bond (Y) = 9% p.a.
Amount of coupon (PMT) = ??
Using financial calculator or PMT function in excel,
Amount of coupon (PMT) = 82.21
Therefore coupon rate for bond = 82.21 /1000 = 8.22%
Current market rate for bond = 9.50%
Since the market rate is more than coupon on bond, bond must be trading at discount.
Therefore option (a) is correct
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