aplikom12 matlab ekotek
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Aplikasi Ekonomi Teknik Dalam MATLAB
Arif Rahman, ST MT
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FtstoolFinancial Toolbox™ ftstool
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3Rumus Bunga Majemuk Diskrit
Notasi-notasi ANZI Z94.5 – 1972r : tingkat bunga nominal per periodei : tingkat bunga efektif per periodeN : jumlah periode pemajemukanP : nilai sekarang (present worth)F : nilai mendatang (future worth)A : nilai yang besarnya sama untuk beberapa periode yang berurutan (annual worth)G : nilai yang besar penambahan atau pengurangannya sama untuk beberapa periode yang berurutan (gradien worth)
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Tingkat Bunga Nominal vs Efektif Rumus Ekonomi Teknik
i% = (1+(r% / N))N-1Mencari r bila diketahui i
Formula dalam MatLab NominalRate = nomrr(i%, N)
Mencari i bila diketahui rFormula dalam MatLab EffectiveRate = effrr(i%, N)
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5Rumus Bunga Majemuk Diskrit
Mencari P bila diketahui FRumus Ekonomi Teknik F x (P/F,i%,N) = F x (1 / (1+i)N)Formula dalam MatLab PresentVal = pvvar(CashFlow, i%)
Ketikkan dalam command window :CashFlow=zeros(N,1);CashFlow(N,1)= F;PresentVal = pvvar(CashFlow, i%)
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6Rumus Bunga Majemuk Diskrit
Mencari P bila diketahui ARumus Ekonomi Teknik A x (P/A,i%,N) = A x (((1+i)N – 1) / (i x (1+i)N))Formula dalam MatLabPresentVal = pvvar(CashFlow, i%) atauPresentVal = pvfix(i%, N, A)
Ketikkan dalam command window :CashFlow=[A;A;A;…;A];PresentVal = pvvar(CashFlow, i%) atauPresentVal = pvfix(i%, N, A)
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7Rumus Bunga Majemuk Diskrit
Mencari F bila diketahui PRumus Ekonomi TeknikP x (F/P,i%,N) = P x (1+i)N
Formula dalam MatLabFutureVal = fvvar(CashFlow, i%)
Ketikkan dalam command window :CashFlow=zeros(N,1);CashFlow(1,1)= P;FutureVal = fvvar(CashFlow, i%)
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8Rumus Bunga Majemuk Diskrit
Mencari F bila diketahui ARumus Ekonomi Teknik A x (F/A,i%,N) = A x (((1+i)N – 1) / i)Formula dalam MatLabFutureVal = fvvar(CashFlow, i%) atauFutureVal = fvfix(i%, N, A)
Ketikkan dalam command window :CashFlow=[A;A;A;…;A];FutureVal = fvvar(CashFlow, i%) atauFutureVal = fvfix(i%, N, A)
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9Rumus Bunga Majemuk Diskrit
Mencari A bila diketahui PRumus Ekonomi Teknik P x (A/P,i%,N) = P x ((i x (1+i)N) / ((1+i)N – 1))Formula dalam MatLabAnnualVal = payper(i%, N, P)
Mencari A bila diketahui FRumus Ekonomi Teknik F x (A/F,i%,N) = F x (i / ((1+i)N – 1))Formula dalam MatLab AnnualVal = payper(i%, N,0, F)
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Analisa InvestasiNet Present Value
pvvar(CashFlow, i%)
Capital Recoverypayper(i%,N,P) - payper(i%,N,0,F)
Payback Periodannuterm (i%,A,P,F)
Internal Rate Of Returnirr(CashFlow)annurate(N, A,P,F)
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DepresiasiMetode Straight Linedepstln (P;F;N)
Metode Sum Of Year’s Digitdepsoyd(P;F;N)
Metode General Declining Balancedepgendb(P;F;N;k)
Metode Fixed Declining Balancedepfixdb(P;F;N;t)
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Akhir Perkuliahan…Akhir Perkuliahan…
… … Ada Yang DitanyakanAda Yang Ditanyakan
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