A bond with an annual coupon of $100 originally sold at par for
$1,000. The current yield to maturity on this
bond is 9%. This bond would sell at
A. A discount to par.
B. At par.
C. At a premium to par.
D. Face value.
E. Not enough information.
c ) The Bond would trade at a premium to par .
Coupon Interest = $100
Current Yeild = Coupon Amount / Price
Mathematical Explanation : Where Current Yeild is < than the Coupon Amount , where as Coupon Amount is same in both calculations , then Price will be higher in order to Pull down the current yeild .
Financial Explanation : As coupon amount is fixed @ $100 and Current Yeild is 9% , in That case refer calculations below :
9% = $100 / Price
Therefore , Price ( ) = %1111.11 , which is at premium to its par at $1000.
The premium is $111.11 or 11.11%
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