The AccruedAmount command computes the interest that is due on a bond since the last interest payment was made. Accrued interest is added to the contract price of a bond transaction.

The parameter bond is a fixed coupon bond or floating rate bond.

The (optional) parameter date is the evaluation date. By default the global evaluation date is used. It can be specified in any of the standard date formats supported by the package.

Note that the value returned by the AccruedAmount command depends on the day count and day rolling conventions used by bond.

$\mathrm{with}\left(\mathrm{Finance}\right)\:$

$\mathrm{SetEvaluationDate}\left(''March\; 15,\; 2005''\right)\:$

$\mathrm{EvaluationDate}\left(\right)$

$''March\; 15,\; 2005''$

$\mathrm{Settings}\left(\left[\mathrm{compounding}=\mathrm{Continuous}\,\mathrm{settlementdays}=0\,\mathrm{businessdayconvention}=\mathrm{Unadjusted}\right]\right)$

$\left[\mathrm{compounding}=\mathrm{Continuous}\,\mathrm{settlementdays}=0\,\mathrm{businessdayconvention}=\mathrm{Unadjusted}\right]$

$\mathrm{Principal}≔100\:$

$\mathrm{Coupon}≔0.03\:$

$\mathrm{B1}≔\mathrm{FixedCouponBond}\left(\mathrm{Principal}\,3\,\mathrm{Years}\,\mathrm{Coupon}\,\mathrm{issuedate}=''March\; 15,\; 2005''\,\mathrm{daycounter}=\mathrm{Thirty360European}\right)\:$

$\mathrm{B2}≔\mathrm{FixedCouponBond}\left(\mathrm{Principal}\,3\,\mathrm{Years}\,\mathrm{Coupon}\,\mathrm{issuedate}=''March\; 15,\; 2005''\,\mathrm{daycounter}=\mathrm{ISDA}\right)\:$

$\mathrm{AccruedAmount}\left(\mathrm{B1}\,''March\; 14,\; 2006''\right)$

$2.991666667$

$\mathrm{AccruedAmount}\left(\mathrm{B2}\,''March\; 14,\; 2006''\right)$

$2.991780822$

$\mathrm{Principal}\mathrm{Coupon}\mathrm{YearFraction}\left(''March\; 15,\; 2005''\,''March\; 14,\; 2006''\,\mathrm{Thirty360European}\right)$

$2.991666667$

$\mathrm{Principal}\mathrm{Coupon}\mathrm{YearFraction}\left(''March\; 15,\; 2005''\,''March\; 14,\; 2006''\,\mathrm{ISDA}\right)$

$2.991780822$

$\mathrm{AccruedAmount}\left(\mathrm{B1}\,''March\; 15,\; 2006''\right)$

$0.$

$\mathrm{AccruedAmount}\left(\mathrm{B2}\,''March\; 15,\; 2006''\right)$

$0.$

$\mathrm{AccruedAmount}\left(\mathrm{B1}\,''May\; 16,\; 2006''\right)$

$0.5083333333$

$\mathrm{AccruedAmount}\left(\mathrm{B2}\,''May\; 16,\; 2006''\right)$

$0.5095890411$

$\mathrm{SetEvaluationDate}\left(''March\; 14,\; 2006''\right)\:$

$\mathrm{EvaluationDate}\left(\right)$

$''March\; 14,\; 2006''$

$\mathrm{CleanPrice}\left(\mathrm{B1}\,0.05\right)$

$96.04651941$

$\mathrm{DirtyPrice}\left(\mathrm{B1}\,0.05\right)$

$99.03818607$

$\mathrm{CleanPrice}\left(\mathrm{B1}\,0.05\right)+\mathrm{AccruedAmount}\left(\mathrm{B1}\right)=\mathrm{DirtyPrice}\left(\mathrm{B1}\,0.05\right)$

$99.03818608=99.03818607$

$\mathrm{CleanPrice}\left(\mathrm{B2}\,0.05\right)+\mathrm{AccruedAmount}\left(\mathrm{B2}\right)=\mathrm{DirtyPrice}\left(\mathrm{B2}\,0.05\right)$

$99.03412275=99.03412275$

$\mathrm{SetEvaluationDate}\left(''March\; 15,\; 2006''\right)\:$

$\mathrm{EvaluationDate}\left(\right)$

$''March\; 15,\; 2006''$

$\mathrm{CleanPrice}\left(\mathrm{B1}\,0.05\right)$

$96.05194233$

$\mathrm{DirtyPrice}\left(\mathrm{B1}\,0.05\right)$

$96.05194233$

$\mathrm{CleanPrice}\left(\mathrm{B1}\,0.05\right)+\mathrm{AccruedAmount}\left(\mathrm{B1}\right)=\mathrm{DirtyPrice}\left(\mathrm{B1}\,0.05\right)$

$96.05194233=96.05194233$

$\mathrm{CleanPrice}\left(\mathrm{B2}\,0.05\right)+\mathrm{AccruedAmount}\left(\mathrm{B2}\right)=\mathrm{DirtyPrice}\left(\mathrm{B2}\,0.05\right)$

$96.04769000=96.04769000$

$\mathrm{SetEvaluationDate}\left(''March\; 16,\; 2006''\right)\:$

$\mathrm{EvaluationDate}\left(\right)$

$''March\; 16,\; 2006''$

$\mathrm{CleanPrice}\left(\mathrm{B1}\,0.05\right)$

$96.05695047$

$\mathrm{DirtyPrice}\left(\mathrm{B1}\,0.05\right)$

$96.06528381$

$\mathrm{CleanPrice}\left(\mathrm{B1}\,0.05\right)+\mathrm{AccruedAmount}\left(\mathrm{B1}\right)=\mathrm{DirtyPrice}\left(\mathrm{B1}\,0.05\right)$

$96.06528380=96.06528381$

$\mathrm{CleanPrice}\left(\mathrm{B2}\,0.05\right)+\mathrm{AccruedAmount}\left(\mathrm{B2}\right)=\mathrm{DirtyPrice}\left(\mathrm{B2}\,0.05\right)$

$96.06084812=96.06084812$

The Finance[AccruedAmount] command was introduced in Maple 15.

For more information on Maple 15 changes, see Updates in Maple 15.