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Time Period of Semi Annual Compound Interest Formula

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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. Check FAQs

t Semi Annual = \frac{1}{2} \cdot \log ((1 + \frac{r Annual}{2 \cdot 100}), \frac{CI Semi Annual}{P Semi Annual} + 1)

t_{Semi Annual} - Time Period of Semi Annual CI?r_Annual - Annual Rate of Compound Interest?CI_{Semi Annual} - Semi Annual Compound Interest?P_{Semi Annual} - Principal Amount of Semi Annual CI?

Time Period of Semi Annual Compound Interest Example

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Here is how the Time Period of Semi Annual Compound Interest equation looks like with Values.

Here is how the Time Period of Semi Annual Compound Interest equation looks like with Units.

Here is how the Time Period of Semi Annual Compound Interest equation looks like.

1.5 = \frac{1}{2} \cdot \log ((1 + \frac{20}{2 \cdot 100}), \frac{3310}{10000} + 1)

1.5Year = \frac{1}{2} \cdot \log ((1 + \frac{20}{2 \cdot 100}), \frac{3310}{10000} + 1)

1.5 = \frac{1}{2} \cdot \log ((1 + \frac{20}{2 \cdot 100}), \frac{3310}{10000} + 1)

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Time Period of Semi Annual Compound Interest Solution

Follow our step by step solution on how to calculate Time Period of Semi Annual Compound Interest?

FIRST Step Consider the formula

t Semi Annual = \frac{1}{2} \cdot \log ((1 + \frac{r Annual}{2 \cdot 100}), \frac{CI Semi Annual}{P Semi Annual} + 1)

Next Step Substitute values of Variables

∴

t Semi Annual = \frac{1}{2} \cdot \log ((1 + \frac{20}{2 \cdot 100}), \frac{3310}{10000} + 1)

Next Step Prepare to Evaluate

∴

t Semi Annual = \frac{1}{2} \cdot \log ((1 + \frac{20}{2 \cdot 100}), \frac{3310}{10000} + 1)

Next Step Evaluate

∴

t Semi Annual = 47335427.9999999s

LAST Step Convert to Output's Unit

∴

t Semi Annual = 1.5Year

Time Period of Semi Annual Compound Interest Formula Elements

Variables

Functions

Time Period of Semi Annual CI

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.

Symbol: t_{Semi Annual}

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Time Period of Semi Annual CI

Annual Rate of Compound Interest

The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.

Symbol: r_Annual

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Annual Rate of Compound Interest

Semi Annual Compound Interest

Semi Annual Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded semi-annually.

Symbol: CI_{Semi Annual}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Semi Annual Compound Interest

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.

Symbol: P_{Semi Annual}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Principal Amount of Semi Annual CI

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Time Period of Semi Annual Compound Interest category

Go Final Amount of Semi Annual Compound Interest

A Semi Annual = P Semi Annual \cdot {(1 + \frac{r Annual}{2 \cdot 100})}^{2 \cdot t Semi Annual}

Go Principal Amount of Semi Annual Compound Interest

P Semi Annual = \frac{CI Semi Annual}{{(1 + \frac{r Annual}{2 \cdot 100})}^{2 \cdot t Semi Annual} - 1}

Go Semi Annual Rate of Compound Interest given Annual Rate

r Semi Annual = \frac{r Annual}{2}

Go Semi Annual Compound Interest

CI Semi Annual = P Semi Annual \cdot ({(1 + \frac{r Annual}{2 \cdot 100})}^{2 \cdot t Semi Annual} - 1)

How to Evaluate Time Period of Semi Annual Compound Interest?

Time Period of Semi Annual Compound Interest evaluator uses Time Period of Semi Annual CI = 1/2*log((1+Annual Rate of Compound Interest/(2*100)),Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1) to evaluate the Time Period of Semi Annual CI, The Time Period of Semi Annual Compound Interest formula is defined as 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 is denoted by t_{Semi Annual} symbol.

How to evaluate Time Period of Semi Annual Compound Interest using this online evaluator? To use this online evaluator for Time Period of Semi Annual Compound Interest, enter Annual Rate of Compound Interest (r_Annual), Semi Annual Compound Interest (CI_{Semi Annual}) & Principal Amount of Semi Annual CI (P_{Semi Annual}) and hit the calculate button.

FAQs on Time Period of Semi Annual Compound Interest

What is the formula to find Time Period of Semi Annual Compound Interest?

The formula of Time Period of Semi Annual Compound Interest is expressed as Time Period of Semi Annual CI = 1/2*log((1+Annual Rate of Compound Interest/(2*100)),Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1). Here is an example- 4.8E-8 = 1/2*log((1+20/(2*100)),3310/10000+1).

How to calculate Time Period of Semi Annual Compound Interest?

With Annual Rate of Compound Interest (r_Annual), Semi Annual Compound Interest (CI_{Semi Annual}) & Principal Amount of Semi Annual CI (P_{Semi Annual}) we can find Time Period of Semi Annual Compound Interest using the formula - Time Period of Semi Annual CI = 1/2*log((1+Annual Rate of Compound Interest/(2*100)),Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1). This formula also uses Logarithmic Inverse Function function(s).

Can the Time Period of Semi Annual Compound Interest be negative?

No, the Time Period of Semi Annual Compound Interest, measured in Time cannot be negative.

Which unit is used to measure Time Period of Semi Annual Compound Interest?

Time Period of Semi Annual Compound Interest is usually measured using the Year[Year] for Time. Second[Year], Millisecond[Year], Microsecond[Year] are the few other units in which Time Period of Semi Annual Compound Interest can be measured.

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Time Period of Semi Annual Compound Interest Formula

Time Period of Semi Annual Compound Interest Example

Time Period of Semi Annual Compound Interest Solution

Time Period of Semi Annual Compound Interest Formula Elements

Other formulas in Time Period of Semi Annual Compound Interest category

How to Evaluate Time Period of Semi Annual Compound Interest?

FAQs on Time Period of Semi Annual Compound Interest

Variable Name