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Time Period of Semi Annual Compound Interest given Semi Annual Rate Formula

GoTime Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate Formula

GoTime 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 Semi Annual}{100}), \frac{CI Semi Annual}{P Semi Annual} + 1)

t_{Semi Annual} - Time Period of Semi Annual CI?r_{Semi Annual} - Semi 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 given Semi Annual Rate Example

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

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

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

1.5 = \frac{1}{2} \cdot \log ((1 + \frac{10}{100}), \frac{3310}{10000} + 1)

1.5Year = \frac{1}{2} \cdot \log ((1 + \frac{10}{100}), \frac{3310}{10000} + 1)

1.5 = \frac{1}{2} \cdot \log ((1 + \frac{10}{100}), \frac{3310}{10000} + 1)

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Time Period of Semi Annual Compound Interest given Semi Annual Rate Solution

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

FIRST Step Consider the formula

t Semi Annual = \frac{1}{2} \cdot \log ((1 + \frac{r Semi Annual}{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{10}{100}), \frac{3310}{10000} + 1)

Next Step Prepare to Evaluate

∴

t Semi Annual = \frac{1}{2} \cdot \log ((1 + \frac{10}{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 given Semi Annual Rate 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

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.

Symbol: r_{Semi Annual}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Semi 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 to find Time Period of Semi Annual CI

Go Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate

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

Go Time Period of Semi Annual Compound Interest

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

How to Evaluate Time Period of Semi Annual Compound Interest given Semi Annual Rate?

Time Period of Semi Annual Compound Interest given Semi Annual Rate evaluator uses Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/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 given Semi Annual Rate 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, calculated using the semi-annual rate of Compound Interest. Time Period of Semi Annual CI is denoted by t_{Semi Annual} symbol.

How to evaluate Time Period of Semi Annual Compound Interest given Semi Annual Rate using this online evaluator? To use this online evaluator for Time Period of Semi Annual Compound Interest given Semi Annual Rate, enter Semi Annual Rate of Compound Interest (r_{Semi 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 given Semi Annual Rate

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

The formula of Time Period of Semi Annual Compound Interest given Semi Annual Rate is expressed as Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/100),Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1). Here is an example- 4.8E-8 = 1/2*log((1+10/100),3310/10000+1).

How to calculate Time Period of Semi Annual Compound Interest given Semi Annual Rate?

With Semi Annual Rate of Compound Interest (r_{Semi 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 given Semi Annual Rate using the formula - Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/100),Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1). This formula also uses Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Time Period of Semi Annual CI?

Here are the different ways to Calculate Time Period of Semi Annual CI-

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

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

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

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

Time Period of Semi Annual Compound Interest given Semi Annual Rate 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 given Semi Annual Rate can be measured.

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Time Period of Semi Annual Compound Interest given Semi Annual Rate Formula

​GoTime Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate Formula

​GoTime Period of Semi Annual Compound Interest Formula

Time Period of Semi Annual Compound Interest given Semi Annual Rate Example

Time Period of Semi Annual Compound Interest given Semi Annual Rate Solution

Time Period of Semi Annual Compound Interest given Semi Annual Rate Formula Elements

Other Formulas to find Time Period of Semi Annual CI

How to Evaluate Time Period of Semi Annual Compound Interest given Semi Annual Rate?

FAQs on Time Period of Semi Annual Compound Interest given Semi Annual Rate

Variable Name

GoTime Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate Formula

GoTime Period of Semi Annual Compound Interest Formula