The ParCoupon command constructs a coupon at par on a term structure.

The interest is accrued between startdate and enddate.

The optional parameter paymentdate can be used to specify when the accrued interest will be payed. By default paymentdate is equal to enddate.

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

$\mathrm{SetEvaluationDate}\left(''January\; 1,\; 2005''\right)\:$

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

$''January\; 1,\; 2005''$

$\mathrm{paymentdate}≔''January\; 1,\; 2015''$

$\mathrm{paymentdate}≔''January\; 1,\; 2015''$

$\mathrm{startdate}≔''January\; 1,\; 2006''$

$\mathrm{startdate}≔''January\; 1,\; 2006''$

$\mathrm{enddate}≔''January\; 1,\; 2010''$

$\mathrm{enddate}≔''January\; 1,\; 2010''$

$\mathrm{rate}≔\mathrm{BenchmarkRate}\left(6\,\mathrm{Months}\,\mathrm{USDLIBOR}\,0.05\right)$

$\mathrm{rate}≔\mathbf{module}\left(\right)\mathbf{end\; module}$

$\mathrm{coupon}≔\mathrm{ParCoupon}\left(100\,\mathrm{rate}\,\mathrm{startdate}\,\mathrm{enddate}\,\mathrm{paymentdate}\right)$

$\mathrm{coupon}≔\mathrm{22.15700851\; on\; January\; 1,\; 2015}$

$\mathrm{FormatDate}\left(\mathrm{coupon}\left[\mathrm{date}\right]\right)$

$''January\; 1,\; 2015''$

$\mathrm{coupon}\left[\mathrm{amount}\right]$

$22.15700851$

$\mathrm{NetPresentValue}\left(\mathrm{coupon}\,0.05\right)$

$13.43890499$

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

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