The Cash flow statement represents the increased or decreased position of cash and cash equivalents in a business
Cash flow methods for Investment Appraisal can be broadly categorised into discounted cash flow and non-discounted techniques.
In investment appraisal, “discounted cash flow” methods consider the time value of money by discounting future cash flows to their present value, while “non-discounted cash flow” methods do not take this factor into account, meaning they treat all cash flows equally regardless of when they occur.
The most common discounted methods are Net Present Value (NPV) and Internal Rate of Return (IRR).
NPV:
Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time.
Calculation of NPV Cash Flow Methods:
To calculate NPV, you need to estimate the timing and amount of future cash flows and pick a discount rate equal to the minimum acceptable rate of return.
The formula for NPV
NPV = F / [(1 + i)^n ]
Where: PV = Present Value. F = Future payment (cash flow) i = Discount rate (or interest rate)
Profitability Index (PI):
The profitability index (PI) is a metric that measures the relationship between the costs and benefits of a project. It’s a ratio of the present value of future cash flows to the initial investment. Generally speaking, a positive NPV will correspond with a PI greater than one, while a negative NPV will track with a PI below one.
The main difference between NPV and profitability index is that the PI is represented as a ratio, so it won’t indicate the cash flow size.
Internal Rate of Return (IRR):
IRR:
The internal rate of return (IRR) method of evaluation is that discount rate assuming net present value NPV equal to zero. Unlike NPV method, the discounting rate is not known in the IRR method and it is found out by using trial and error basis or extrapolating and interpolating methods. For evaluation purpose, IRR is compared with the cost of capital of the company. IRR determines the discount rate that makes the Net Present Value of a project equal to zero.
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Non-discounted cash flow techniques, also known as non-discounting methods, are methods of evaluating investments that do not consider the time value of money, meaning they simply look at the total cash flows generated by a project without adjusting for the fact that money today is worth more than money in the future; the most common examples are the Payback Period and the Accounting Rate of Return (ARR).
Examples of non-discounted cash flow techniques:
Payback Period:
Payback period measures the time it takes for an investment to recover its initial cost through cash inflows.
Accounting Rate of Return (ARR):
ARR calculates the average annual accounting profit of an investment as a percentage of the initial investment.
Difference between Discounted and Non-Discounted Method:
Discounted Method | Non-Discounted Method |
Discounted cash flows are used in investment appraisal techniques such as NPV | While undiscounted cash flows may seem to generate a positive NPV at first, they won’t be able to generate the same amount after a few years down the road. |
Discounted cash flows are adjusted to incorporate the time value of money using a discount rate to get the present value estimate, which is used to evaluate the potential for investment. | Undiscounted future cash flows are cash flows that are expected to be incurred or generated by a project that hasn’t been reduced to their present value. |
Because discounted cash flows consider the reduction in the value of money over time, it is used to assist accurate investment decisions. | Because undiscounted cash flows don’t consider the reduction in the value of money over time, it isn’t used to assist accurate investment decisions. |
Discounted cash flow methods are preferred for making more informed investment decisions, especially when evaluating projects with long time horizons or uneven cash flows. | Non-discounted methods can be useful only for quick initial screening |
Discounted Cash Flow:
In finance, DCF stands for discounted cash flow, which is an analysis method of valuing a project, asset, company, or security using the concept of the time value of money.
Discounted cash flows are adjusted to incorporate the time value of money — they are discounted using a discount rate to get the present value estimate, which is used to evaluate the potential for investment.
Discounted cash flows can also be calculated using below formula:
Discounted cash flows= CF 1/ (1+r) ^1 + CF 2/ (1+r)^ 2 +… CF n (1+r)^ n
Where: CF = Cash flow and r = Discount rate.
The formula above allows discounted cash flows to be easily calculated if there’s limited cash flow. However, this isn’t a convenient formula to use if there are many cash flows. For better understanding let us examine following example:
A business firm requires Rs.150000 initial investment for a project that is expected to generate cash inflows for the next five years. It will generate Rs.10000 in the first two years, Rs.15000 in the third year, Rs25000 in the fourth year, and Rs20,000 with a terminal value of Rs.100,000 in the fifth year. Assuming the cost of capital is 5%, and no further investment is required during the term, the DCF of the project can be calculated as below:
DCF=10000÷ (1+5) ^1+10000÷(1+5)^2+ 15000÷(1+5)^3+ 25000÷/(1+5)^4+120000÷(1+5)^5=146142
If you just total the returns without considering the time value of money, this project will create a total cash return of Rs.180000 after five years that is higher than the initial investment of Rs.150000, which appears to be profitable. However, after discounting the cash flow of each period, the present value of the return is only Rs.146142, lower than the initial investment of Rs.150000. It suggests the company should not invest in the project.
Summary:
Discounted cash flow (DCF) is a method for estimating the value of an investment, while net present value (NPV) is a method for determining if an investment is profitable. NPV is the result of applying DCF to an investment. DCF estimates the value of an investment by discounting its future cash flows to the present value. DCF is often used to value companies, real estate, and other investments with predictable cash flows. NPV determines the value of an investment by subtracting the initial cost of the investment from the present value of its cash flows. NPV is often used in capital budgeting to evaluate projects.
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