UniCalculators
EN DE
🧬Biology 🧪Chemistry 📐Construction 🔄Conversion 🌱Ecology 📅Everyday Life 💵Finance 🏥Health ➕Math 🕌Islamic

Internal Rate of Return (IRR) Calculator

Calculate the discount rate that makes the net present value (NPV) of cash flows equal to zero.

💵

Calculation Parameters

Specify your inputs below.

Calculated Result

Internal Rate of Return (IRR) 9.46%
💡

Expert Tip

The IRR is the discount rate that makes the net present value (NPV) of all cash flows equal to zero.

How this Calculator Works

This calculator computes the Internal Rate of Return (IRR) for a series of business cash flows. It is the annualized rate of return where the present value of cash inflows matches the cash outflows, indicating investment efficiency. Corporate finance teams use it to accept or reject projects.

Formula & Methodology

IRR is the rate r that satisfies: NPV = Sum [ CF_t / (1 + r)^t ] = 0 - CF_t is the net cash flow in period t. - t is the time index of the cash flow.

Step-by-Step Calculation Example

Here is a step-by-step example showing how the calculations are performed:

A project requires an upfront investment of $10,000 and yields $6,000 in Year 1 and $6,000 in Year 2. 1. Set up the equation: -10,000 + 6,000/(1+r) + 6,000/(1+r)^2 = 0. 2. Solve for r iteratively (or using financial software): r ≈ 13.07%. Result: The Internal Rate of Return (IRR) is 13.07%.

Related Calculators

View All Finance Tools →

Marginal Rate of Return Calculator

Evaluate the incremental or marginal rate of return from increasing capital investments in projects.

Launch Tool →

Jensen's Alpha Calculator

Compute Jensen's Alpha to measure the active risk-adjusted outperformance of your investment portfolio.

Launch Tool →

Detailed Insights & Expert Guide

ℹ️ About this Calculation

This investment analytics calculator evaluates portfolio yield, compounding growth, risk-adjusted returns, present/future asset valuations, and capital growth metrics based on CFA and modern portfolio theory (MPT) principles.

Variable Glossary

Input

Investment Parameters

Initial principal, periodic contribution, interest rate, discount factor, holding period, or asset price inputs.

Parameter

Performance Metrics

Compound Annual Growth Rate (CAGR %), Net Present Value (NPV), Internal Rate of Return (IRR), or Sharpe ratio.

How to Calculate Step-by-Step

1

Step 1

Enter your initial investment capital, asset purchase prices, or cash flow streams.

2

Step 2

Set compounding frequency, discount rate, or benchmark risk-free rate factors.

3

Step 3

Review calculated total return value, annualized growth %, or risk-adjusted alpha/beta statistics.

FAQ

How does compounding frequency impact investment returns?
More frequent compounding (e.g. monthly or daily vs. annually) generates higher effective annual yields (APY) because interest is calculated on accumulated interest earlier in the period.
What is the difference between Sharpe Ratio and Sortino Ratio?
The Sharpe ratio divides excess return by total standard deviation (both upside and downside volatility), whereas the Sortino ratio divides excess return by downside deviation only.
Should investment calculators replace professional wealth management?
No. Investment calculators model financial mathematics under assumed growth rates. Actual market performance fluctuates, so consult a licensed financial planner (CFP) or RIA for personalized advice.