! D03NCF Example Program Text
! Mark 28.3 Release. NAG Copyright 2022.
Module d03ncfe_mod
! D03NCF Example Program Module:
! Parameters and User-defined Routines
! .. Use Statements ..
Use nag_library, Only: nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Accessibility Statements ..
Private
Public :: print_greek
! .. Parameters ..
Integer, Parameter, Public :: nin = 5, nout = 6
Contains
Subroutine print_greek(ns,ntkeep,nt,s,t,grname,greek)
! .. Scalar Arguments ..
Integer, Intent (In) :: ns, nt, ntkeep
Character (*), Intent (In) :: grname
! .. Array Arguments ..
Real (Kind=nag_wp), Intent (In) :: greek(ns,ntkeep), s(ns), t(nt)
! .. Local Scalars ..
Integer :: i, j
! .. Intrinsic Procedures ..
Intrinsic :: len
! .. Executable Statements ..
Write (nout,*)
Write (nout,*) grname
Write (nout,*)('-',i=1,len(grname))
Write (nout,*) ' Stock Price | Time to Maturity (months)'
Write (nout,99999) '|', (12.0_nag_wp*(t(nt)-t(i)),i=1,ntkeep)
Write (nout,*) ' -----------------', ('------------',i=1,ntkeep)
Do i = 1, ns
Write (nout,99998) s(i), '|', (greek(i,j),j=1,ntkeep)
End Do
Return
99999 Format (16X,A,1X,12(1P,E12.4))
99998 Format (1X,1P,E12.4,3X,A,1X,12(1P,E12.4))
End Subroutine print_greek
End Module d03ncfe_mod
Program d03ncfe
! D03NCF Example Main Program
! .. Use Statements ..
Use d03ncfe_mod, Only: nin, nout, print_greek
Use nag_library, Only: d03ncf, nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Logical, Parameter :: gprnt(5) = .True.
! .. Local Scalars ..
Real (Kind=nag_wp) :: alpha, x
Integer :: ifail, kopt, ldf, ns, nt, ntkeep
Character (1) :: mesh
! .. Local Arrays ..
Real (Kind=nag_wp), Allocatable :: delta(:,:), f(:,:), gamma(:,:), &
lambda(:,:), rho(:,:), s(:), t(:), &
theta(:,:), work(:)
Real (Kind=nag_wp) :: q(3), r(3), sigma(3)
Integer, Allocatable :: iwork(:)
Logical :: tdpar(3)
! .. Executable Statements ..
Write (nout,*) 'D03NCF Example Program Results'
Write (nout,*)
! Skip heading in data file
Read (nin,*)
Read (nin,*) ns, nt, ntkeep
ldf = ns
Allocate (delta(ldf,ntkeep),f(ldf,ntkeep),gamma(ldf,ntkeep), &
lambda(ldf,ntkeep),rho(ldf,ntkeep),s(ldf),t(nt),theta(ldf,ntkeep), &
work(4*ns),iwork(ns))
! Read problem parameters
Read (nin,*) kopt
Read (nin,*) x
Read (nin,*) mesh
Read (nin,*) s(1), s(ns)
Read (nin,*) t(1), t(nt)
Read (nin,*) alpha
! Set up input parameters for D03NCF
Read (nin,*) tdpar(1:3)
Read (nin,*) q(1), r(1), sigma(1)
! Call Black-Scholes solver
ifail = 0
Call d03ncf(kopt,x,mesh,ns,s,nt,t,tdpar,r,q,sigma,alpha,ntkeep,f,theta, &
delta,gamma,lambda,rho,ldf,work,iwork,ifail)
! Output option values and possibly Greeks.
Call print_greek(ns,ntkeep,nt,s,t,'Option Values',f)
If (gprnt(1)) Then
Call print_greek(ns,ntkeep,nt,s,t,'Theta',theta)
End If
If (gprnt(2)) Then
Call print_greek(ns,ntkeep,nt,s,t,'Delta',delta)
End If
If (gprnt(3)) Then
Call print_greek(ns,ntkeep,nt,s,t,'Gamma',gamma)
End If
If (gprnt(4)) Then
Call print_greek(ns,ntkeep,nt,s,t,'Lambda',lambda)
End If
If (gprnt(5)) Then
Call print_greek(ns,ntkeep,nt,s,t,'Rho',rho)
End If
End Program d03ncfe