Future Value of Ordinary Annuities and Sinking Funds Calculator

✖Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.ⓘ Cashflow per Period [C_f]			+10% -10%
✖The Rate per Period is the interest rate charged.ⓘ Rate per Period [r]			+10% -10%
✖Total Number of Times Compounded refers to the frequency with which interest is calculated and added to the principal amount in a compounding interest scenario.ⓘ Total Number of Times Compounded [n_c]			+10% -10%

✖Future Value of Ordinary Annuity refers to the value that a series of equal periodic payments or receipts will grow to at a future point in time.ⓘ Future Value of Ordinary Annuities and Sinking Funds [FV_O]

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Formula

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Future Value of Ordinary Annuities and Sinking Funds

Formula

`"FV"_{"O"} = "C"_{"f"}*((1+"r")^("n"_{"c"})-1)/"r"`

Example

`"29397.95"="1500"*((1+"0.05")^("14")-1)/"0.05"`

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Future Value of Ordinary Annuities and Sinking Funds Solution

STEP 0: Pre-Calculation Summary

Formula Used

Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period
FV_O = C_f*((1+r)^(n_c)-1)/r
This formula uses 4 Variables

Variables Used

Future Value of Ordinary Annuity - Future Value of Ordinary Annuity refers to the value that a series of equal periodic payments or receipts will grow to at a future point in time.
Cashflow per Period - Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.
Rate per Period - The Rate per Period is the interest rate charged.
Total Number of Times Compounded - Total Number of Times Compounded refers to the frequency with which interest is calculated and added to the principal amount in a compounding interest scenario.

STEP 1: Convert Input(s) to Base Unit

Cashflow per Period: 1500 --> No Conversion Required
Rate per Period: 0.05 --> No Conversion Required
Total Number of Times Compounded: 14 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FV_O = C_f*((1+r)^(n_c)-1)/r --> 1500*((1+0.05)^(14)-1)/0.05

Evaluating ... ...

FV_O = 29397.947983182

STEP 3: Convert Result to Output's Unit

29397.947983182 --> No Conversion Required

FINAL ANSWER

29397.947983182 ≈ 29397.95 <-- Future Value of Ordinary Annuity

(Calculation completed in 00.005 seconds)

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Created by Vishnu K

BMS College of Engineering (BMSCE), Bangalore

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Satyawati College (DU), New Delhi

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< 14 Future value Calculators

Future Value of Growing Annuity

Go Future Value of Growing Annuity = Initial Investment*((1+Rate per Period)^(Number of Periods)-(1+Growth Rate)^(Number of Periods))/(Rate per Period-Growth Rate)

Growing Annuity Payment using Future Value

Go Initial Payment = (Future Value*(Rate per Period-Growth Rate))/(((1+Rate per Period)^(Number of Periods))-((1+Growth Rate)^(Number of Periods)))

Number of Periods using Future Value

Go Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period)

Annuity Due for Future Value

Go Annuity Due Future Value = Payment made in Each Period*((1+Rate per Period)^(Number of Periods)-1)/(Rate per Period)*(1+Rate per Period)

Future Value of Present Sum given Compounding Periods

Go Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods)

Future Value of Annuity with Continuous Compounding

Go FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1))

Future Value of Ordinary Annuities and Sinking Funds

Go Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period

Future Value of Annuity

Go Future Value of Annuity = (Monthly Payment/(Interest Rate*0.01))*((1+(Interest Rate*0.01))^Number of Periods-1)

Future Value with Continuous Compounding

Go Future Value with Continuous Compounding = Present Value*(e^(Rate of Return*Number of Compounding Periods*0.01))

Future Value of Present Sum given Number of Periods

Go Future Value = Present Value*exp(Rate of Return*Number of Periods*0.01)

Future Value of Lumpsum

Go Future Value of Lumpsum = Present Value*(1+Interest Rate per Period)^Number of Periods

Annuity Payment using Future Value

Go Annuity Payment = Future Value of Annuity/(((1+Rate per Period)^Number of Periods)-1)

Future Value of Present Sum given Total Number of Periods

Go Future Value = Present Value*(1+(Rate of Return*0.01))^Number of Periods

Future Value Factor

Go Future Value Factor = (1+Rate per Period)^Number of Periods

Future Value of Ordinary Annuities and Sinking Funds Formula

Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period
FV_O = C_f*((1+r)^(n_c)-1)/r

What is Future Value of Ordinary Annuities and Sinking Funds?

This concept refers to the value that a series of equal periodic payments or receipts will grow to at a future point in time, assuming a certain interest rate or rate of return. In other words, it represents the total amount of money accumulated by making regular deposits or investments over a specified period, with interest compounding on those contributions. The future value of ordinary annuities is commonly used in retirement planning, savings goals, and investment analysis.
This concept refers to the value that a series of equal periodic payments or receipts will grow to at a future point in time, assuming a certain interest rate or rate of return. In other words, it represents the total amount of money accumulated by making regular deposits or investments over a specified period, with interest compounding on those contributions. The future value of ordinary annuities is commonly used in retirement planning, savings goals, and investment analysis.

How to Calculate Future Value of Ordinary Annuities and Sinking Funds?

Future Value of Ordinary Annuities and Sinking Funds calculator uses Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period to calculate the Future Value of Ordinary Annuity, The Future Value of Ordinary Annuities and Sinking Funds formula is defined as the value that a series of equal periodic payments or receipts will grow to at a future point in time, assuming a certain interest rate or rate of return. Future Value of Ordinary Annuity is denoted by FV_O symbol.

How to calculate Future Value of Ordinary Annuities and Sinking Funds using this online calculator? To use this online calculator for Future Value of Ordinary Annuities and Sinking Funds, enter Cashflow per Period (C_f), Rate per Period (r) & Total Number of Times Compounded (n_c) and hit the calculate button. Here is how the Future Value of Ordinary Annuities and Sinking Funds calculation can be explained with given input values -> 29397.95 = 1500*((1+0.05)^(14)-1)/0.05.

FAQ

What is Future Value of Ordinary Annuities and Sinking Funds?

The Future Value of Ordinary Annuities and Sinking Funds formula is defined as the value that a series of equal periodic payments or receipts will grow to at a future point in time, assuming a certain interest rate or rate of return and is represented as FV_O = C_f*((1+r)^(n_c)-1)/r or Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period. Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals, The Rate per Period is the interest rate charged & Total Number of Times Compounded refers to the frequency with which interest is calculated and added to the principal amount in a compounding interest scenario.

How to calculate Future Value of Ordinary Annuities and Sinking Funds?

The Future Value of Ordinary Annuities and Sinking Funds formula is defined as the value that a series of equal periodic payments or receipts will grow to at a future point in time, assuming a certain interest rate or rate of return is calculated using Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period. To calculate Future Value of Ordinary Annuities and Sinking Funds, you need Cashflow per Period (C_f), Rate per Period (r) & Total Number of Times Compounded (n_c). With our tool, you need to enter the respective value for Cashflow per Period, Rate per Period & Total Number of Times Compounded and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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