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Sagot :
Answer:
Minimum selling price for the bond = $11350.38
Explanation:
Given - You have just purchased a municipal bond with a $10,000 par
value for $9,500. You purchased it immediately after the previous
owner received a semi-annual interest payment. The bond rate is
6.6% per year payable semi-annually. You plan to hold the bond for
4 years, selling the bond immediately after you receive the interest
payment. If your desired nominal yield is 3% per year compounded
semi-annually.
To find - What will be your minimum selling price for the bond?
Proof -
Formula for Bond value is -
Bond value = [tex]\frac{Coupon Amount}{( 1+ Interest rate)^{1} } + \frac{Coupon Amount}{( 1+ Interest rate)^{2} } + \frac{Coupon Amount}{( 1+ Interest rate)^{3} } + .....\frac{Coupon Amount}{( 1+ Interest rate)^{n} }[/tex]
As given,
Coupon Rate = 6.6%
⇒Coupon Rate for semi-annual = 3.3%
and hereby time period becomes double i.e 8 years.
Now,
Interest rate = 3%
For semi-annual , interest = 1.5%
Now,
Coupon amount = 10,000×3.3% = 330
Now,
Bond value = 330 ×PVIF(1.5% , 8) + 10,000×IVAF(1.5%, 8)
= 330×7.486 + 10,000×0.888
= 11350.38
∴ we get
Minimum selling price for the bond = $11350.38
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