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I want to calculate the outcome of the following example; $1000 gain 2% daily.Each day the new sum(initial amount + gain) gains also 2%.What is the correct formula to use for the above to calculate profit? Thank you

 Jul 20, 2016
 #1
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Hi, to calculate that you can use this formula :  

 

Final Money = A * ( 1 + r/n )nt 

nt = the time period in days if it is 3 years it would be 3*365;

r = interest; 6 % percent would be : 0.06

n = 365 ; if you want to calculate the profit daily

 

From my course on Calculus :)

 

Hope it helps,

 Jul 20, 2016
 #2
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I don't think this is the formula that I am looking for. Because by simply doing the math for the first 5 days, it goes like this:

 

1000 + 1000*0.02 = 1020, 1020 + 1020*0.02 = 1040.4, 1040.4 + 1040.4*0.02 = 1061.2 .....

 

With the formula that you proposed to me in 365 days the total profit is only 20.2, while in my calculations above in 3 days(!) I already have 61.2 profit. So which is the formula exactly?

 

Thanks

 Jul 20, 2016
 #3
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In this case the formula is simply FV(n) = $1000*1.02^n,  where n is the number of days

 

(2% per day is very large! Guest#1's formula would apply if the interest were 2% per annum)

 Jul 20, 2016
 #4
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FV=PV [ 1 + R]^N, Where R=Interest rate per period, N=number of periods, PV=Present value, FV=Future value.

 

FV=1,000[1+.02]^365

FV=1,000[1.02]^365

FV=1,000 x 1,377.40829

FV=$1,377,408.29

$1,377,408.29 - $1,000 =$1,376,408.29 Interest earned for 1 year @ 2% compounded daily.

 Jul 20, 2016
 #5
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Oh, thats right my formula was for annual interests smiley

 Jul 20, 2016

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