
Explanation:
We will calculate the dirty price of the bond using the following steps:
$100, and an 8% coupon bond will pay $4 on June 10th and December 10th.Accrued interest = 119 / 182 × $4 = $2.615
The quoted price of 93-8 is equal to $93 + 8/32, as the Treasury bond prices are quoted in dollars and thirty-seconds of a dollar.
Dirty price = Quoted price + Accrued interest = $93.25 + $2.615 = $95.865
or $95,865 with the face value of $100,000.
Q.690 An analyst wishes to estimate the dirty price of a $100,000 face value Treasury bond with an annual coupon of 8% paid semiannually on December 10th and on June 10th. The bond was purchased on April 8, 2017, when the quoted price was 93-8. If the Treasury bond's maturity date is December 10th, 2020, what is the bond's dirty price?
A
$93,250
B
$94,865
C
$95,125
D
$95,865
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