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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 55 "Citlivost finan\350n\355h
o toku na zm\354nu \372rokov\351 sazby\nDurace" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 109 "Jak velk\351 budou anuitn\355 m\354s\355\350n\355 s
pl\341tky dluhu 3.5*10^6 bude-li spl\341cen po dobu 15 let p\370i \372
rokov\351 sazb\354 0.04." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 
"restart;Digits:=20;" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "x:=so
lve\n(3.5*10^6-sum(x/1.04^(i/12),i=1..12*15)=0\n);" "6#>%\"xG-%&solveG
6#/,&*&-%&FloatG6$\"#N!\"\"\"\"\"*$\"#5\"\"'F0F0-%$sumG6$*&F$F0)-F,6$
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{MPLTEXT 1 0 66 "\nG:=subs(T=12*15,\nsimplify(\nsum(x/((1+xi)^(i/12)),
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{MPLTEXT 1 0 23 "plot(G(i),i=0.01..0.5);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 27 "F:=(xi,delta)->G(xi+delta);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 66 "H:=simplify((F(xi,0)-F(xi,delta))/F(xi,0));\nH:=
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taylor((F(0)-F(delta))/F(0),delta=0,2);" "6#>%$xxxG-%(mtaylorG6%*&,&-%
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{MPLTEXT 1 0 45 "xxx:=mtaylor(H(delta,x),[delta=0,xi = .1],2);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "plot3d(xxx,xi=0.01..0.05,del
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{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "xxx:=Z=simplify(sum(z*(1+xi)^(
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{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 47 "T je \350as v roc\355ch,
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" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$xxxG/%\"ZG,$*(,&),&\"\"\"F,%#xi
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "F:=unapply(rhs(xxx),z,xi,T);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGj+6%%\"zG%#xiG%\"TG6\"6$%)operat
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19 1 " G:=(F(z,xi+delta,T)-F(z,xi,T))/F(z,xi,T);\nGG:=(F(z,xi*(1+theta
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1 "" {XPPMATH 20 "6#>%\"GG,$**,&*(,&),(\"\"\"F,%#xiGF,%&deltaGF,,$%\"T
G!\"\"F,F,F1F,%\"zGF,,&F,F1*$)F+#F,\"#7F,F,F1F1*(,&),&F,F,F-F,F/F,F,F1
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"> " 0 "" {MPLTEXT 1 0 63 "G:=unapply(simplify(G),delta);\nGG:=unapply
(simplify(GG),theta);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GGj+6#%&d
eltaG6\"6$%)operatorG%&arrowGF(,$*(,&\"\"\"!\"\"*$),(F/F/%#xiGF/9$F/#F
/\"#7F/F/F0,.*&),&F/F/F4F/%\"TGF/)F3,$F%#GGGj+6#%&thetaG6\"6$%)operatorG%&arrowGF(,$*(,&\"
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R:=simplify(mtaylor(G(delta),delta=0,2)   -   mtaylor(G(delta),delta=0
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{XPPMATH 20 "6#>%$DR2G,$*0\"#7!\"\"%#xiG\"\"\"%&thetaGF*,&F*F(*$),&F*F
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