Semi Annual Rate of Compound Interest given Final Amount Calculator

✖Final Amount of Semi Annual CI is the total amount received/paid back, including the amount invested/ borrowed initially, and interest on it for given time at fixed rate compounded semi-annually.ⓘ Final Amount of Semi Annual CI [A_{Semi Annual}]			+10% -10%
✖Principal Amount of Semi Annual CI is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded semi-annually.ⓘ Principal Amount of Semi Annual CI [P_{Semi Annual}]			+10% -10%
✖Time Period of Semi Annual CI is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually.ⓘ Time Period of Semi Annual CI [t_{Semi Annual}]			+10% -10%

✖The Semi Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded semi-annually.ⓘ Semi Annual Rate of Compound Interest given Final Amount [r_{Semi Annual}]

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Semi Annual Rate of Compound Interest given Final Amount Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semi Annual Rate of Compound Interest = 100*((Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI)^(1/(2*Time Period of Semi Annual CI))-1)
r_{Semi Annual} = 100*((A_{Semi Annual}/P_{Semi Annual})^(1/(2*t_{Semi Annual}))-1)
This formula uses 4 Variables

Variables Used

Semi Annual Rate of Compound Interest - The Semi Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded semi-annually.
Final Amount of Semi Annual CI - Final Amount of Semi Annual CI is the total amount received/paid back, including the amount invested/ borrowed initially, and interest on it for given time at fixed rate compounded semi-annually.
Principal Amount of Semi Annual CI - Principal Amount of Semi Annual CI is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded semi-annually.
Time Period of Semi Annual CI - (Measured in Year) - Time Period of Semi Annual CI is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually.

STEP 1: Convert Input(s) to Base Unit

Final Amount of Semi Annual CI: 13310 --> No Conversion Required
Principal Amount of Semi Annual CI: 10000 --> No Conversion Required
Time Period of Semi Annual CI: 1.5 Year --> 1.5 Year No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{Semi Annual} = 100*((A_{Semi Annual}/P_{Semi Annual})^(1/(2*t_{Semi Annual}))-1) --> 100*((13310/10000)^(1/(2*1.5))-1)

Evaluating ... ...

r_{Semi Annual} = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Semi Annual Rate of Compound Interest

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Semi Annual Rate of Compound Interest Calculators

Semi Annual Rate of Compound Interest

LaTeX Go Semi Annual Rate of Compound Interest = 100*((Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1)^(1/(2*Time Period of Semi Annual CI))-1)

Semi Annual Rate of Compound Interest given Final Amount

LaTeX Go Semi Annual Rate of Compound Interest = 100*((Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI)^(1/(2*Time Period of Semi Annual CI))-1)

Semi Annual Rate of Compound Interest given Annual Rate

LaTeX Go Semi Annual Rate of Compound Interest = Annual Rate of Compound Interest/2

Semi Annual Rate of Compound Interest given Final Amount Formula

LaTeX Go

What is Compound Interest?

Compound Interest is the interest calculated on the principal and the interest accumulated over the previous period. The Compound Interest for an amount depends on both principal and interest gained over periods. Compound Interest varies with each year for the same principal amount. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

How to Calculate Semi Annual Rate of Compound Interest given Final Amount?

Semi Annual Rate of Compound Interest given Final Amount calculator uses Semi Annual Rate of Compound Interest = 100*((Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI)^(1/(2*Time Period of Semi Annual CI))-1) to calculate the Semi Annual Rate of Compound Interest, The Semi Annual Rate of Compound Interest given Final Amount formula is defined as the percent of the interest paid over the principal amount for the due period compounded semi-annually, and is calculated using the final amount of Compound Interest. Semi Annual Rate of Compound Interest is denoted by r_{Semi Annual} symbol.

How to calculate Semi Annual Rate of Compound Interest given Final Amount using this online calculator? To use this online calculator for Semi Annual Rate of Compound Interest given Final Amount, enter Final Amount of Semi Annual CI (A_{Semi Annual}), Principal Amount of Semi Annual CI (P_{Semi Annual}) & Time Period of Semi Annual CI (t_{Semi Annual}) and hit the calculate button. Here is how the Semi Annual Rate of Compound Interest given Final Amount calculation can be explained with given input values -> 10 = 100*((13310/10000)^(1/(2*47335428))-1).

FAQ

What is Semi Annual Rate of Compound Interest given Final Amount?

The Semi Annual Rate of Compound Interest given Final Amount formula is defined as the percent of the interest paid over the principal amount for the due period compounded semi-annually, and is calculated using the final amount of Compound Interest and is represented as r_{Semi Annual} = 100*((A_{Semi Annual}/P_{Semi Annual})^(1/(2*t_{Semi Annual}))-1) or Semi Annual Rate of Compound Interest = 100*((Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI)^(1/(2*Time Period of Semi Annual CI))-1). Final Amount of Semi Annual CI is the total amount received/paid back, including the amount invested/ borrowed initially, and interest on it for given time at fixed rate compounded semi-annually, Principal Amount of Semi Annual CI is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded semi-annually & Time Period of Semi Annual CI is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually.

How to calculate Semi Annual Rate of Compound Interest given Final Amount?

The Semi Annual Rate of Compound Interest given Final Amount formula is defined as the percent of the interest paid over the principal amount for the due period compounded semi-annually, and is calculated using the final amount of Compound Interest is calculated using Semi Annual Rate of Compound Interest = 100*((Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI)^(1/(2*Time Period of Semi Annual CI))-1). To calculate Semi Annual Rate of Compound Interest given Final Amount, you need Final Amount of Semi Annual CI (A_{Semi Annual}), Principal Amount of Semi Annual CI (P_{Semi Annual}) & Time Period of Semi Annual CI (t_{Semi Annual}). With our tool, you need to enter the respective value for Final Amount of Semi Annual CI, Principal Amount of Semi Annual CI & Time Period of Semi Annual CI and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Semi Annual Rate of Compound Interest?

In this formula, Semi Annual Rate of Compound Interest uses Final Amount of Semi Annual CI, Principal Amount of Semi Annual CI & Time Period of Semi Annual CI. We can use 2 other way(s) to calculate the same, which is/are as follows -

Semi Annual Rate of Compound Interest = 100*((Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1)^(1/(2*Time Period of Semi Annual CI))-1)
Semi Annual Rate of Compound Interest = Annual Rate of Compound Interest/2

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