! D03NCF Example Program Text ! Mark 23 Release. NAG Copyright 2011. 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 ! .. Parameters .. INTEGER, PARAMETER :: nin = 5, nout = 6 CONTAINS SUBROUTINE print_greek(ns,ntkeep,nt,s,t,grname,greek) ! .. Implicit None Statement .. IMPLICIT NONE ! .. 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 Functions .. 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 nag_library, ONLY : d03ncf, nag_wp USE d03ncfe_mod, ONLY : nin, nout, print_greek ! .. 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)) CALL print_greek(ns,ntkeep,nt,s,t,'Theta',theta) IF (gprnt(2)) CALL print_greek(ns,ntkeep,nt,s,t,'Delta',delta) IF (gprnt(3)) CALL print_greek(ns,ntkeep,nt,s,t,'Gamma',gamma) IF (gprnt(4)) CALL print_greek(ns,ntkeep,nt,s,t,'Lambda',lambda) IF (gprnt(5)) CALL print_greek(ns,ntkeep,nt,s,t,'Rho',rho) END PROGRAM d03ncfe