A = P (1 + i ) ^n
Where
'A' -> future value
'P' -> principle
'i' -> interest
'n' -> number of compound times
E.g.
Calculate the future value with a principle of $5000.00 at 2.3% interest compounded quarterly for 5 years.
i = 0.023 / 4
= .00575
n= 5*4 = 20
A = 5000 (1+0.00575)^20
= 5607.52
Interest earned would be the 5607.52 - 5000, which is 607.52.
Good luck.
2007-06-01 16:36:31
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answer #1
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answered by de4th 4
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Compound Interest
P is the principal (the money you start with, your first deposit)
r is the annual rate of interest as a decimal (5% means r = 0.05)
n is the number of years you leave it on deposit
A is how much money you've accumulated after n years, including interest.
If the interest is compounded once a year:
A = P(1 + r)^n
If the interest is compounded q times a year:
A = P(1 + r/q)^(n*q)
2007-06-01 23:46:58
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answer #2
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answered by Pam 5
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Well, for interest compounded a set number of time per year, such as quarterly or monthly or weekly etc. you can use this formula:
i=P(1+r/n)^(n*t)
P = principal( amount invested)
i = total amount of interest earned
r = interest rate
n= the number of times compounded per year, being one if it is compounded annually, two if biannually, and so on
t = number of years
If the interest is continuously compounded this is the formula to use:
i = Pe^(r*t)
Where 'e' is the natural logarithmic base or approximately 2.718.
Good luck.
2007-06-01 23:43:07
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answer #3
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answered by Anonymous
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A = P[1 + (R/100)]^n
where,
A = Total Amount paid
n = Period of compound interest (no. of times money is compounded i.e annually, quarterly)
P = Principal (Original money borrowed)
R = Rate of compound interest.
2007-06-01 23:50:02
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answer #4
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answered by Akilesh - Internet Undertaker 7
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In de4th equation, P is the invested principal. A is what it will be worth in n periods of time if the interest rate in EACH PERIOD is i. So if the annual interest rate is 6 percent and the interest is paid quaterly, i = 0.06/4 = 0.015
2007-06-01 23:40:46
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answer #5
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answered by cattbarf 7
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the equation is as follows...
A=P(1+(r/n))^nt
A is for amount presently
P is for principal
r is for intrest rate (as a decimal)
n is for number of times per year that it is compounded
-ex: Quarterly is 4 and anually is 1
t is the amount of time in years
-ex: $20,000 at 7.5% for 10 years
- 10 years is the t amount
FOR intrest being compounded continually the equation is...
A=Pe^rt
everything is the same except for "e"
which stands for an approximate number of 2.718281828
*****************ALL PROBLEMS CAN BE SOLVED USING A CALULATOR THAT CAN PROCESS LOGRITHMIC FUNCTIONS!!!**********************************
2007-06-01 23:45:57
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answer #6
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answered by bugman007@sbcglobal.net 2
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