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EXAMPLES AND FORMULA TIME VALUE OF MONEY

EXAMPLES AND FORMULA TIME VALUE OF MONEY


EXAMPLES 1

     A)     n=3   PV=100 i=100%,  10%,  0%    FV=?       
FV=PV (1+I)n  

WHEN  i=100%
FV=PV (1+I)n  
 =100(1+ 100/100)3
=100 (2)
Fv=800

Same like  10% answer is 133.1   and  0% answer is 100

 FV cannot be calculated of 100 by table’s formula.
Ans: future value is more than calculated values.

EXAMPLE 2

N=3 FV=100 i=10% , 100%, 0%

When i=10%       10/100 = 0.1
PV = FV/(1+i)n
=100/(1+0.1)3
=75.13

Same the answer of 100% is 12.5  and  0% is 100

Present value is less than given value

Table formula
PV=Fv x PVIF I,n
=100 x PVIF 10%,3
x
x

Compound more than a year


Future value
FV=PV(1+i/m)nxm
M= semiannualy=2            (six month)

M=quarterly=4
M=daily=360
M=12 monthly
M=weekly=52
M=continuously=
FV=PV X (e) ixn
TABLE
FV=PV X FVIF i/m ,nxm
FV=PV x eixn
Constant  e= 2.7182


Present value
PV=FV/(1+i/m)nxm
m = ∞
FV/eixn   = PV
PV=FV x PVIF i/m, nxm


MBA NOTES FINANCIAL MANAGEMENT

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