Discounted Rate of Return Calculator
Calculate Net Present Value (NPV) & Profitability Index
Calculation Results
Understanding Discounted Rate of Return
When analyzing investments, money received in the future is not worth as much as money in hand today due to inflation, opportunity costs, and risk. The Discounted Rate of Return Calculator (often utilized to find Net Present Value or NPV) helps investors determine the true profitability of a project by adjusting future cash flows back to their present value.
How It Works
This calculator uses the Discounted Cash Flow (DCF) method. It takes the future expected income from an investment and "discounts" it back to today's value using a required rate of return (the discount rate).
The Formula
The mathematical logic used in this calculator relies on the Present Value formula for each year:
PV = CF / (1 + r)^n
- PV = Present Value of the specific cash flow
- CF = Cash Flow in year n
- r = Discount Rate (expressed as a decimal)
- n = Year number (1, 2, 3…)
The Net Present Value (NPV) is simply the sum of all Present Values minus the Initial Investment.
Example Calculation
Imagine you invest $50,000 today in a business upgrade. You expect it to generate $15,000 per year for the next 5 years. Your required rate of return (Discount Rate) is 10%.
- Year 1 PV: $15,000 / (1.10)^1 = $13,636.36
- Year 2 PV: $15,000 / (1.10)^2 = $12,396.69
- Year 3 PV: $15,000 / (1.10)^3 = $11,269.72
- Year 4 PV: $15,000 / (1.10)^4 = $10,245.20
- Year 5 PV: $15,000 / (1.10)^5 = $9,313.82
- Total PV: $56,861.79
- NPV: $56,861.79 – $50,000 = $6,861.79
Since the NPV is positive, the investment yields a return higher than the 10% discount rate.
What is the Discount Rate?
The discount rate is a critical input. It represents the rate of return you could earn on an alternative investment of similar risk. For corporate finance, this is often the Weighted Average Cost of Capital (WACC). For individual investors, it might be the expected return of the stock market (e.g., 7-10%) or the rate of a risk-free bond plus a risk premium.