Future Value of Annuity with Continuous Compounding 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%
✖The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.ⓘ Number of Periods [n_Periods]			+10% -10%

✖FV of Annuity with Continuous Compounding refers to the total value accrued from regular payments compounded continuously over a specified time period.ⓘ Future Value of Annuity with Continuous Compounding [FV_ACC]

⎘ Copy

👎

Formula

✖

Future Value of Annuity with Continuous Compounding

Formula

`"FV"_{"ACC"} = "C"_{"f"}*((e^("r"*"n"_{"Periods"})-1)/(e^("r")-1))`

Example

`"3076.907"="1500"*((e^("0.05"*"2")-1)/(e^("0.05")-1))`

Calculator

LaTeX

Reset

👍

Download Time Value of Money Formulas PDF PDF Image

Future Value of Annuity with Continuous Compounding Solution

STEP 0: Pre-Calculation Summary

Formula Used

FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1))
FV_ACC = C_f*((e^(r*n_Periods)-1)/(e^(r)-1))
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

FV of Annuity with Continuous Compounding - FV of Annuity with Continuous Compounding refers to the total value accrued from regular payments compounded continuously over a specified time period.
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.
Number of Periods - The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

STEP 1: Convert Input(s) to Base Unit

Cashflow per Period: 1500 --> No Conversion Required
Rate per Period: 0.05 --> No Conversion Required
Number of Periods: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FV_ACC = C_f*((e^(r*n_Periods)-1)/(e^(r)-1)) --> 1500*((e^(0.05*2)-1)/(e^(0.05)-1))

Evaluating ... ...

FV_ACC = 3076.90664456403

STEP 3: Convert Result to Output's Unit

3076.90664456403 --> No Conversion Required

FINAL ANSWER

3076.90664456403 ≈ 3076.907 <-- FV of Annuity with Continuous Compounding

(Calculation completed in 00.004 seconds)

You are here -

Home » Financial » Financial Accounting » Time Value of Money » Future value » Future Value of Annuity with Continuous Compounding

Credits

Created by Keerthika Bathula

Indian Institute of Technology, Indian School of mines, Dhanbad (IIT ISM Dhanbad), Dhanbad

Keerthika Bathula has created this Calculator and 50+ more calculators!

Verified by Vishnu K

BMS College of Engineering (BMSCE), Bangalore

Vishnu K has verified this Calculator and 200+ more calculators!

< 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 Annuity with Continuous Compounding Formula

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

What is Future Value of Annuity with Continuous Compounding?

The future value (FV) of an annuity with continuous compounding is a concept in finance that helps determine the total worth of a series of regular payments made at equal intervals and compounded continuously over a specific period at a given interest rate. Unlike traditional compounding, which compounds interest at discrete intervals (such as annually, quarterly, or monthly), continuous compounding assumes that interest is added to the principal balance infinitely often, resulting in a higher overall value over time.This concept is particularly relevant in investment scenarios where interest is compounded continuously, such as in certain types of bonds or investment products that offer continuous growth potential.

How to Calculate Future Value of Annuity with Continuous Compounding?

Future Value of Annuity with Continuous Compounding calculator uses FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1)) to calculate the FV of Annuity with Continuous Compounding, The Future Value of Annuity with Continuous Compounding represents the total value of regular payments compounded continuously over a specific period at a given interest rate. FV of Annuity with Continuous Compounding is denoted by FV_ACC symbol.

How to calculate Future Value of Annuity with Continuous Compounding using this online calculator? To use this online calculator for Future Value of Annuity with Continuous Compounding, enter Cashflow per Period (C_f), Rate per Period (r) & Number of Periods (n_Periods) and hit the calculate button. Here is how the Future Value of Annuity with Continuous Compounding calculation can be explained with given input values -> 3076.907 = 1500*((e^(0.05*2)-1)/(e^(0.05)-1)).

FAQ

What is Future Value of Annuity with Continuous Compounding?

The Future Value of Annuity with Continuous Compounding represents the total value of regular payments compounded continuously over a specific period at a given interest rate and is represented as FV_ACC = C_f*((e^(r*n_Periods)-1)/(e^(r)-1)) or FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1)). 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 & The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

How to calculate Future Value of Annuity with Continuous Compounding?

The Future Value of Annuity with Continuous Compounding represents the total value of regular payments compounded continuously over a specific period at a given interest rate is calculated using FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1)). To calculate Future Value of Annuity with Continuous Compounding, you need Cashflow per Period (C_f), Rate per Period (r) & Number of Periods (n_Periods). With our tool, you need to enter the respective value for Cashflow per Period, Rate per Period & Number of Periods and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search