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Homework answers / question archive / A $1000 par value bond paying interest at j2=6% has book value $1100 on March 1, 2010, at a yield rate of j2=4

A $1000 par value bond paying interest at j2=6% has book value $1100 on March 1, 2010, at a yield rate of j2=4

Finance

A $1000 par value bond paying interest at j2=6% has book value $1100 on March 1, 2010, at a yield rate of j2=4.5%. Determine the amount of amortization of the premium on September 1, 2010, and the new book value on that date.

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Bond Par value =$1,000
Coupon rate =6% pa , semi annual compounding.
Semi annual coupon =3%
YTM =4.5% pa, semi annual compounding
Semi Annual Yield =2.25%
Coupoon is payable on March 1 & Sep 1.
Book Value on March 1 =$1,100
Interest expense to be accrued on Sep 1=1100*2.25%=$24.75
Semi Annual Coupon amount =$1000*3% =$30
So Premium Amortization on Sep 1,2010=$30-$24.75=$5.25
New Book Value of Bond on Sep 1,2010 =$1,100-$5.25=$1,094.75