Simple Interest
S.I. = Simple Interest
P = Principal amount or Sum of amount
R = the annual rate of interest in the form of decimal e.g. 3% means r = 0.03
T = Total number of years you deposit money
S.I. = P*R*T/100
Compound Interest
P = the principal (the money you first deposit)
r = the annual rate of interest in the form of decimal e.g. 3% means r = 0.03
n = the number of years you deposit your money
A = how much money you have accumulated after n years. This also includes the interest gained during n years.
If the interest is compounded once in a year :
A = P(1 + r)n
If the interest is compounded q times in a year :
A = P(1 + r/q)nq
Formula for the amount of an annuity
Annuity - An annuity is a fixed sum of money which is paid at regular intervals.
P = Sum deposited each year (beginning one year from when the annuity starts)
r = The interest rate, in the form of decimal e.g. 3% means r = 0.03
n = Total number of years the annuity has run.
N = Total amount accumulated after the end of n years.
N = (P/r) ( (1 + r)n - 1)
So if 20000 rupees is deposited yearly for 20 years at 6%,
N = (20000/0.06) ( (1 + 0.06)20 -1) = 735711.8233 rupees
S.I. = Simple Interest
P = Principal amount or Sum of amount
R = the annual rate of interest in the form of decimal e.g. 3% means r = 0.03
T = Total number of years you deposit money
S.I. = P*R*T/100
Compound Interest
P = the principal (the money you first deposit)
r = the annual rate of interest in the form of decimal e.g. 3% means r = 0.03
n = the number of years you deposit your money
A = how much money you have accumulated after n years. This also includes the interest gained during n years.
If the interest is compounded once in a year :
A = P(1 + r)n
If the interest is compounded q times in a year :
A = P(1 + r/q)nq
Formula for the amount of an annuity
Annuity - An annuity is a fixed sum of money which is paid at regular intervals.
P = Sum deposited each year (beginning one year from when the annuity starts)
r = The interest rate, in the form of decimal e.g. 3% means r = 0.03
n = Total number of years the annuity has run.
N = Total amount accumulated after the end of n years.
N = (P/r) ( (1 + r)n - 1)
So if 20000 rupees is deposited yearly for 20 years at 6%,
N = (20000/0.06) ( (1 + 0.06)20 -1) = 735711.8233 rupees
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