daycounter =  a string containing a date specification in a format recognized by ParseDate or a Date data structure -- This option specifies a day counter or day counting convention.

referencedate =  a string containing a date specification in a format recognized by ParseDate or a Date data structure -- This option specifies the reference date, that is, the date when the discount factor is 1. By default this is set to the global evaluation date.

The NetPresentValue(instrument) calling sequence returns the net present value of the given instrument. The parameter instrument in this case can be either a cash flow swap or an interest rate swap. For bonds the net present value is the same as the dirty price (see DirtyPrice).

The NetPresentValue(cashflows, discountrate, opts) calling sequence returns the net present value for the future cash flows discounted with respect to the given discount rate.

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

$\mathrm{SetEvaluationDate}\left(''January\; 01,\; 2005''\right)\:$

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

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

$\mathrm{paymentdate}≔''Jan-02-2007''$

$\mathrm{paymentdate}≔''Jan-02-2007''$

$\mathrm{cashflow1}≔\mathrm{SimpleCashFlow}\left(100\,\mathrm{paymentdate}\right)$

$\mathrm{cashflow1}≔\mathrm{100.\; on\; January\; 2,\; 2007}$

$\mathrm{NetPresentValue}\left(\mathrm{cashflow1}\,0.03\right)$

$94.16871315$

$100\mathrm{DiscountFactor}\left(0.03\,\mathrm{paymentdate}\right)$

$94.16871315$

$\mathrm{NetPresentValue}\left(\mathrm{cashflow1}\,0.03\,\mathrm{referencedate}=''Jan-01-2004''\right)$

$91.38560707$

$100\mathrm{DiscountFactor}\left(0.03\,\mathrm{paymentdate}\,\mathrm{referencedate}=''Jan-01-2004''\right)$

$91.38560707$

$\mathrm{nominalamt}≔100$

$\mathrm{nominalamt}≔100$

$\mathrm{rate}≔0.05$

$\mathrm{rate}≔0.05$

$\mathrm{paymentdate}≔''Jan-01-2015''$

$\mathrm{paymentdate}≔''Jan-01-2015''$

$\mathrm{startdate}≔''Jan-01-2006''$

$\mathrm{startdate}≔''Jan-01-2006''$

$\mathrm{enddate}≔''Jan-01-2010''$

$\mathrm{enddate}≔''Jan-01-2010''$

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

$\mathrm{coupon}≔\mathrm{20.\; on\; January\; 1,\; 2015}$

$\mathrm{NetPresentValue}\left(\mathrm{coupon}\,0.03\right)$

$14.81636441$

$\mathrm{accrued}≔\mathrm{nominalamt}\mathrm{CompoundFactor}\left(\mathrm{rate}\,\mathrm{enddate}\,\mathrm{referencedate}=\mathrm{startdate}\,\mathrm{compounding}='\mathrm{Simple}'\right)-\mathrm{nominalamt}$

$\mathrm{accrued}≔20.0000000$

$\mathrm{accrued}\mathrm{DiscountFactor}\left(0.03\,\mathrm{paymentdate}\right)$

$14.81636441$

$\mathrm{NetPresentValue}\left(\mathrm{coupon}\,0.03\,\mathrm{daycounter}=\mathrm{DayCounter}\left(\mathrm{Actual360}\right)\right)$

$14.75229908$

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

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