Tuesday 21 March 2023

Equity NPV

 

                                                                          Equity NPV

Equity NPV (Net Present Value) is a financial metric that represents the present value of the expected cash flows that will accrue to the equity owners of a business or project, after accounting for all relevant expenses and the cost of capital.

 

In other words, Equity NPV represents the difference between the present value of the expected cash inflows to the equity owners (such as dividends, capital gains or other distributions), and the present value of the cash outflows (such as investment costs, operating expenses, taxes, etc.) required to generate those cash inflows. The calculation of Equity NPV takes into account the time value of money, which means that future cash flows are discounted to reflect their current value.

 

The Equity NPV is a key metric used in capital budgeting and investment analysis to determine whether an investment or project will generate a positive return for the equity owners. If the Equity NPV is positive, the investment or project is expected to generate more cash inflows than outflows, and thus is deemed to be a good investment. Conversely, if the Equity NPV is negative, the investment or project is expected to generate less cash inflows than outflows, and thus is deemed to be a poor investment.

 

It's worth noting that Equity NPV is different from the traditional NPV, which represents the present value of the expected cash flows to all investors (including both equity and debt holders) of a business or project. The Equity NPV only considers the expected cash flows to equity owners, and is therefore a more focused metric that helps assess the return on equity investment.

 

Assume that a company is considering a new project that requires an investment of INR 10,00,000 upfront. The project is expected to generate cash inflows for equity shareholder of INR 2,00,000 per year for the next 5 years. The company's cost of capital (or required rate of return) for this type of investment is 10%.

 

To calculate the Equity NPV, we would follow these steps:

 

1.      Estimate the cash inflows: The expected cash inflows for each year are INR 2,00,000.

 

2.      Calculate the present value of each cash inflow: We would use the discounted cash flow (DCF) method to calculate the present value of each cash inflow, which takes into account the time value of money. Using a discount rate of 10%, the present value of the cash inflows for each year are as follows:

 

Year 1: INR 2,00,000 / (1+10%)^1 = INR 1,81,818

Year 2: INR 2,00,000 / (1+10%)^2 = INR 1,65,289

Year 3: INR 2,00,000 / (1+10%)^3 = INR 1,50,262

Year 4: INR 2,00,000 / (1+10%)^4 = INR 1,36,602

Year 5: INR 2,00,000 / (1+10%)^5 = INR 1,24,143

3.      Calculate the present value of all the cash inflows: We would add up the present value of all the cash inflows to get the total present value of expected cash inflows over the 5-year period:

Total PV of cash inflows = INR 1,81,818 + INR 1,65,289 + INR 1,50,262 + INR 1,36,602 + INR 1,24,143 = INR 7,58,114

 

4.      Subtract the initial investment: We would then subtract the initial investment of INR 10,00,000 from the total present value of expected cash inflows:

Equity NPV = Total PV of cash inflows - Initial investment

Equity NPV = INR 7,58,114 - INR 10,00,000

Equity NPV = -INR 2,41,886

 

In this example, the Equity NPV is negative, which means that the project is not expected to generate a positive return for the equity owners after accounting for all relevant expenses and the cost of capital.

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