Compound Interest. congeniality And Concept If somebody save in bank and bank give flower P% one...
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Transcript of Compound Interest. congeniality And Concept If somebody save in bank and bank give flower P% one...
Compound Interest
congeniality And Concept If somebody save in bank and bank give
flower P% one year, by the end of per annum the money which deposited in bank will increase with its flower. If flower money is not taken hereinafter the saving flower money enhanced direct to saving from the beginning and become n new saving amount to a period of/to next flower, referred as by such flower of compound interest
Example :
Capital of equal to Rp 4.000.000,- profited by on the basis of compound interest 4%per year. How big that capital by the end of year of third
Reply
compound interest Calculation
For example. Capital as much M saved in bank with compound interest i = P% per a period of/to flower, each;every period will increase to become the following
Mn = M(1 + i)n
Boldness Mn = Capital after n time / final value M = Capital of early i = flower percentage n = sum up a period of/to flower
Follow the example of to count final value of capital Capital of equal to Rp 200.000,-
kept by bank with compound interest 4,5% one year. Whether/What capital after 5 year
Reply Is known M = 200.000; i = 0,045; n = 5
M5 = 200.000 (1 + 0,045)5
= 200.000 (1,045)5
= 200.000 (1,246181938)= 249.236,39
Become, final value after 5 year become
Rp 249.236,39
Counting final Value of capital with a period of/to fraction flower
public Formula Na = Mn (1 + i)n applying to n integer. However, besides n in the form of integer, can is also happened by n in the form of number of fraction in halini n turned into
final Value formula of capital
u
wn
)1()1( iu
wiMN n
a
example
Capital Rp 800.000,- profited bigly is compound interest 5% one year. After final 6 30 value day year of that money is taken altogether. Whether/What to the number of Na what is accepted
ReplyIs known M = 800.000, P = 5%; i = 0,05;
n = 6 year 30 day = 6 30/360 year
82,543.076.1
)345679778,1(000.800
)004167,1)(3400956,1(000.800
)05,012
11()05,1(000.800
360
306
360
306
360
306
6
360
306
N
N
N
N
Counting Value of Capital Cash
Assess capital cash can be written down
nnn
t iM
i
MN
)1(
1
)1(
example
Is known M = Rp 100.000,-; P = 2%; i = 0,02 ; n = 8
37,490.853
853490371,0000.100
)02,01(
1000.100
)1(
1
8
t
t
t
nt
N
N
N
iMN
Counting Value of Cash of capital with a period of/to fraction flower
Its formula can be written down the following
)1()1( 2 iuw
i
MN nt
example
A merchant borrow money to bank [of] during 8 month;moon 20 day [of] under colour of flower 2,5% one month. After used up the duration really that money [is] brought back [by] 5.000.000. whether/what big [of] loan (Nt)?
ask Its know: Mn = 5.000.000; i = 0,025; n = 8
month 20 day
3,2,8 3
28
30
208
uwqmaka
n
hari
harin
u
wqn
039,485.036.4
238701482,1
000.000.5
)0166,1(21840289,1
000.000.5
)0166,1()025,1(
000.000.5
)025,032
1()025,01(
000.000.5
)1()1(
8
8
t
t
t
t
t
q
nt
N
N
N
N
N
iuw
i
MN
Thank You