The formula for compound interest is:
A = P * ( 1 + ( R / N ) )^( N * T )
where
A = amount of money accumulated after n years, including interest.
P = principal amount (the initial amount you borrow or deposit)
R = annual rate of interest (as a decimal)
N = number of times the interest is compounded per year
T = number of years the amount is deposited or borrowed for.
Example:
"John Doe invests $100 in an account earning interest at a rate 4% every 6 months. Calculate the value of his investment a the end of 4 years." ...
A = amount of money accumulated after n years, including interest.
P = 100
R = 4 / 100 = 0.04
N = 2
T = 4
so...
A = P * ( 1 + ( R / N ) )^( N * T )
A = 100 * ( 1 + ( 0.04 / 2 ) )^( 2 * 4 )
A = 100 * 1.02^8
A = 100 * 1.171659381
A = 117.17
So the answer is $117.17
Compound interest formula is A = P (1 + r/n)nt. P is principal, r is annual rate of interest, t stands for number of years, A is the amount, including interest, that accumulates over x amount of years, and n is the number of compounding per year.
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The formula for the amount A in a compound interest account at annual interest rate r, where the principal P is compounded n times per year, for n years is
A = P(1+r/n)^nt
* * * * *
The above formula is for t years with interest compounded n times a year, not n years, as stated.
So start with 2000
Annual interest rate 4% (that is generous!)
Interest paid every 6 months - twice a year
How much is it worth after 3 years?
P = 2000
r = 0.04 (remember, per cent means "as a part of 100")
n = 2
t = 3
A = 2000(1+.04/2)2*3 = 2000*1.026 = 2000*1.126162 = 2252.32
compound rate calculate by averging rate
if you want to withdraw RS.45000 at the end of each quarter for the next 6 years then what amount must you invest today at 6% compounded quaterly?
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
t = number of years the amount is deposited or borrowed for.
A = amount of money accumulated after n years, including interest.
n = number of times the interest is compounded per year
Example:
An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. What is the balance after 6 years?
Solution:Using the compound interest formula, we have that
P = 1500, r = 4.3/100 = 0.043, n = 4, t = 6. Therefore,
So, the balance after 6 years is approximately $1,938.84.
Compound interest = C*[(1 + r/100)t - 1]
where C is the capital,
r the interest rate (in percentage) per unit period
t is the number of periods.
its compound interest
yes
The conclusion was when the interest was paid out.
Simple interest: stays the same. Compound interest: increases.
compound