**NPV: **popularly known as Net present value. This
is the difference between the present value of cash inflows and cash outflows.

If
you are investing in certain investments or projects if it produces positive
NPV or NPV>0 then you can accept that project.

And
in case of negative NPV or NPV<0, you should not accept the project.

Now there are some advantages and disadvantages:

*Advantages:*

It helps you to maximize your wealth as it will show your returns greater than its cost of capital or not.- It takes into consideration both before & after cash flow
over the life span of a project.
- It considers all discount rates that may exist at different point
of time while discounting back our cashflows.

*Disadvantages:*

Calculating Appropriate discount rate is difficult.- It will not give accurate decision if two or more projects are
of unequal life.
- It doesn’t provide accurate answer at what period of time you will
achieve positive NPV.

**IRR**: also referred as “yield to redemption or yield per annum. The internal rate of return for an investment project is the effective rate of interest that equates the present value of inflows and outflows. Higher IRR represents a more profitable project.

However, IRR need not be positive. Zero return implies investor receives no return on investment. If the project has only cash inflows then the IRR is infinity.

Now when IRR> cost of capital, then NPV will be positive

When IRR< cost of capital, NPV will be negative.

*Advantages:*

- This approach is mostly used by financial managers as it is expressed in percentage form so it is easy for them to compare to the required cost of capital.
- IRR method gives you the advantage of knowing the actual returns
of the money which you invested today.

*Disadvantages:*

- If an analyst is evaluating two projects, both of which share a common discount rate, predictable cash flows, equal risk, and a shorter time horizon, IRR will probably work. The catch is that discount rates usually change substantially over time. Thus, IRR will not be effective.
- IRR is the discount rate that makes a project break even. If
market conditions change over the years, this project can have two or more IRR.
(we will justify with the example).

Now let’s see which method is better and why:

We have seen the advantages and disadvantages of both the
methods. __But NPV is much better as compared to IRR.__

- IRR assumes the single discount rate which will not be case in reality. For example, return on 1- year Treasury bills is varied between 1% - 12% in last 20 years. Now this problem is easily solved by NPV method as it discounts back the future cashflows at different discount rates easily.
- IRR can be more than one also which will not only make
confusion but also make analysis difficult. For ex: If the project has cash flows of -$50,000 in year one (initial
capital outlay), returns of $115,000 in year two and costs of $66,000 in year
three because the marketing department needed to revise the look of the project

- IRR can be negative too which is difficult to interpret, whereas in case of NPV if it is negative it surely means Deficit and positive implies profitability in the project.
- Positive NPV indicates addition to shareholder’s wealth and
negative NPV implies vice-versa. But this thumb rule will not applicable in case
of IRR.

So, why is the IRR method still commonly used in capital budgeting? Its because of its reporting simplicity. The NPV method is inherently complex and requires assumptions at each stage. The result is simple, but for any project that is long-term, that has multiple cash flows at different discount rates, or that has uncertain cash flows - in fact, for almost any project at all - simple IRR isn't good for much more than presentation value.

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