daycounter = Actual360, Actual365Fixed, AFB, Bond, Euro, Historical, ISDA, ISMA, OneDay, Simple, Thirty360BondBasis, Thirty360EuroBondBasis, Thirty360European, Thirty360Italian, Thirty360USA, or a day counter data structure; convention used to convert the amount of time between two dates to year fractions

The FixedRateCoupon command constructs a coupon paying a fixed interest rate on the given date.

The interest is accrued between startdate and enddate based on simple compounding.

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

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

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

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

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

$\mathrm{nominal}≔100$

$\mathrm{nominal}≔100$

$\mathrm{rate}≔0.05$

$\mathrm{rate}≔0.05$

$\mathrm{paymentdate}≔''Jan-03-2015''$

$\mathrm{paymentdate}≔''Jan-03-2015''$

$\mathrm{startdate}≔''Jan-03-2006''$

$\mathrm{startdate}≔''Jan-03-2006''$

$\mathrm{enddate}≔''Jan-03-2010''$

$\mathrm{enddate}≔''Jan-03-2010''$

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

$\mathrm{coupon}≔\mathrm{20.\; on\; January\; 3,\; 2015}$

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

$14.81392905$

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

$\mathrm{accrued}≔20.0000000$

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

$14.81392905$

$\mathrm{NetPresentValue}\left(\mathrm{coupon}\,0.03\,\mathrm{referencedate}=''Jan-03-2004''\right)$

$14.37846821$

$\mathrm{nominal}\left(\mathrm{CompoundFactor}\left(\mathrm{rate}\,\mathrm{enddate}\,\mathrm{referencedate}=\mathrm{startdate}\,\mathrm{compounding}='\mathrm{Simple}'\right)-1\right)\mathrm{DiscountFactor}\left(0.03\,\mathrm{paymentdate}\,\mathrm{referencedate}=''Jan-03-2004''\right)$

$14.37846821$

$\mathrm{rate2}≔0.07$

$\mathrm{rate2}≔0.07$

$\mathrm{startdate2}≔''Jan-03-2007''$

$\mathrm{startdate2}≔''Jan-03-2007''$

$\mathrm{enddate2}≔''Jan-03-2010''$

$\mathrm{enddate2}≔''Jan-03-2010''$

$\mathrm{coupon2}≔\mathrm{FixedRateCoupon}\left(\mathrm{nominal}\,\mathrm{rate2}\,\mathrm{startdate2}\,\mathrm{enddate2}\,\mathrm{paymentdate}\right)$

$\mathrm{coupon2}≔\mathrm{21.00000000\; on\; January\; 3,\; 2015}$

$\mathrm{NetPresentValue}\left(\left[\mathrm{coupon}\,\mathrm{coupon2}\right]\,0.03\right)$

$30.36855455$

$\mathrm{NetPresentValue}\left(\mathrm{coupon}\,0.03\right)+\mathrm{NetPresentValue}\left(\mathrm{coupon2}\,0.03\right)$

$30.36855455$

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

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