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Samenvatting Wiskunde Formules Bedrijfskunde
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Wiskunde Formules Bedrijfskunde
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Wiskunde formulesRijen en reeksen
Meetkundige rij:
T=a+d*(n-1) (-1 als eerste reeks niet mee
doet) a= startgetal
d= toename
getal n= aantal
reeksen
S= 2𝑛 (𝑇1 + 𝑇𝑛)
Rekenkundige rij:
𝑛
𝑇 = 𝑎 *𝑟
a=
startgetal
r= factor
n= aantal reeksen
𝑛
1−𝑟
S=𝑎 * 1−𝑟
Rente
Enkelvoudige rente:
𝑃𝑡 = 𝑃0 • (1 + 𝑖 • 𝑡)
Pt= de waarde van de rekening na t
jaren P0= ingelegde bedrag
t= aantal jaren
i= interest percentage (gedeeld door 100)
Samengestelde interest:
𝑡
𝑃𝑡 = 𝑃0 * (1 + 𝑖)
Pt= de waarde van de rekening na t
jaren P0= ingelegde bedrag
t= aantal jaren
i= interest percentage (gedeeld door 100)
𝑖
𝑃𝑡 = 𝑃0 * (1 +
𝑚*𝑡
𝑚
)
Pt= de waarde van de rekening na t
jaren P0= ingelegde bedrag
t= aantal jaren
i= interest percentage (gedeeld door
100) m= m keer per jaar
, Maandelijks/jaarlijkse storting met samengestelde interest:
𝑛
(1+𝑖) −1
Sn=𝑇 • 𝑖
T=bedrag van
storting i=interest
n=aantal jaren/maanden
APR/ Effectieve
𝑖
jaarlijkse
𝑚 rente:
𝐴𝑃𝑅 = (1 +
𝑚
) − 1
i= interest
percentage m= m
keer per jaar
Interne opbrengst/IRR:
𝑖1*𝑁𝑃𝑉2−𝑖2*𝑁𝑃𝑉1
IRR= 𝑁𝑃𝑉2−𝑁𝑃𝑉1
NPV= NCW in Engels
IRR= i wanneer
NCW=0
IRR<i dan is
NCW>0 IRR>i dan
is NCW<0
Contante waarde
Contante waarde lening:
−𝑛
1−(1+𝑖)
PV=P• 𝑖
PV=contante
waarde
P=termijnbedrag
Netto contante waarde:
NCW
𝑃𝑡 , deze formule voor aantal jaren investering gebruiken,
= 𝑃0 = (1+𝑖)
𝑡
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