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Formuleblad Financial and Actuarial Calculus
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Samenvatting Financial and Actuarial Calculus 2023/2024 met veel voorbeelden
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Samenvatting midterm Financial and Actuarial Calculus 2023/2024
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Samenvatting Financial and Actuarial Calculus
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SymboolSamengestelde interest K ( n )=K ( 0 )∗(1+ i)n
Enkelvoudige interest K ( n )=K ( 0 )∗(1+ n∗i)
{( ) }
Effectieve interest perunage (maand) p
2
x∗ 1+ −1
12
( )
12
p
r = 1+ −1=
12 x
{( ) }
Verschil begin en eind schuld (maand) p 2
p 2
x ¿ (1+ ) −x=x∗ 1+ −1
12 12
3
Verschillende interest percentages
K ( n )=K (0) ∏ ( 1+i t )
t =1
Regel van 72 (verdubbelen van het kapitaal) (70) 72
verdubbelingstijd (n)=
i
maanden
Meetkundige reeksen
K ( aantal betalingen )=bedrag∗ ∑ it
t=0
Contante waarde Enkelvoudig SW −n
K= n
=SW ∗1+i
( 1+i )
a ¿¿ Postnumerando annuïteit 1−(1+i)
−n
i
ä ¿¿ Prenumerando annuïteit ( 1+i )−(n−1)∗s ¿¿ ( 1+i )∗a¿¿
slotwaarde enkelvoudig SW =CW ∗(1+i)n
s¿ ¿ Rij betalingen postnumerando ( 1+i )n∗a¿¿ (1+i)n−1
i
s̈¿ ¿ rij betalingen prenumerando ( 1+i )∗ s̈¿ ¿
Annuïteit Postnumerando K
b=
a¿¿ ¿
, prenumerando koopsom=betalingen per jaar∗a¿ ¿
Leningen
ineensaflosbaar i∗alle ( postnumerando ) reeksen+laatste betaling
Gelijkmatig aflosbaar lening
+i∗schuldrest ( t−1)
n
Rentabiliteitswaarde CW leenbedrag ( nieuw ) +CW te ontvangen interest ( oud )
1
Gemiddeld rentepercentage ( )
( Kb/ Ko ) n -1
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