Respuesta :
The answer is $5262.347.
Given,
Zero coupon bond with par value = $10,000
Maturity time period (in years) = 13 years
Yield to maturity (YTM) (in percentage) = 5% = 0.05
semi-annual compounding periods.
Semi-annual compounding periods mean that the interest received on this bond will be compounded semi-annually.
The formula for the valuation of the bond is as follows:
Value of bond = [tex]\frac{Par value}{(1+\frac{YTM}{2}) ^{(2*time period)} }[/tex]
Now substituting the given values in the above mentioned formula for the valuation of the bond we get,
=[tex]\frac{10,000}{(1+\frac{0.05}{2}) ^{(2*13)} }[/tex]
=[tex]\frac{10,000}{(1+0.025) ^{26} }[/tex]
= [tex]\frac{10,000}{(1.025)^{26} }[/tex]
= 10,000 / 1.9002927
= $5262.347
Hence, the dollar price of the bond is $5262.347.
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