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Discounted Cash Flow Methods

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Investment Appraisal

Abstract

The discounted cash flow methods described in this chapter are classified as ‘dynamic’ investment appraisal methods, which, unlike the static methods described in Chap. 2, explicitly consider more than one time period and acknowledge the time value of money. Investment projects can be described as streams of (expected) cash inflows and outflows over the whole course of their economic life, i.e. over different time periods. Methods described and discussed in this chapter are the net present value method, the annuity method, the internal rate of return method and the dynamic payback period method. All of them are subject to a set of assumptions that are also discussed in this part.

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References

  • Boulding, K. E. (1936). Time and investment. Economica, 3(12), 196–214.

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Appendices

Assessment Material

1.1 Exercise 3.1 (Net Present Value Method and Annuity Method)

The initial investment outlay of an investment project is €100,000. Use the following data:

  • Economic life: 5 years

  • Liquidation value: €10,000

Table 3.6 Cash inflows and outflows of the investment project

Where:

  • CIFt = Current cash inflows in t

  • COFt = Current cash outflows in t

The uniform discount rate is 5 %. Is it a good idea to acquire this item? Ascertain:

  1. (a)

    The net present value.

  2. (b)

    Using a financing and redemption plan, the value that would arise if the item were to be wholly financed by internal funds.

  3. (c)

    The annuity.

1.2 Exercise 3.2 (Net Present Value Method and Internal Rate of Return Method)

A company has to decide between three investment projects. The characteristics of these are as follows:

Table 3.7 Characteristics of the three investment projects A, B, and C

The economic life of all three projects is 5 years.

The uniform discount rate is 10 %.

  1. (a)

    Calculate the net present values of the investment projects and assess the relative profitability of each.

  2. (b)

    Calculate the projects’ internal rates of return.

1.3 Exercise 3.3 (Dynamic Investment Appraisal Methods)

To maintain production of an important product, a metal processing company is forced to replace a piece of equipment. As there is a good order book, an expansion of production could also follow from this investment. There are two investment projects to choose from with the following data (€):

Table 3.8 Data for the investment projects I and II

The uniform discount rate is 6 %.

  1. (a)

    Assess the relative profitability of the two projects using

    1. (a1)

      The net present value method.

    2. (a2)

      The annuity method.

    3. (a3)

      The internal rate of return method.

    4. (a4)

      The dynamic payback period method.

  2. (b)

    What is the reason for possible different results while using the net present value method and the internal rate of return method?

  3. (c)

    Assess the premises and applicability of each method; in particular refer to the consideration of different initial investment outlays and economic lives. Which possibilities exist to balance these differences?

Further exercises will be included in the assessment material for Chaps. 4 and 5 in the context of advanced investment appraisal methods and applications.

Further Reading – Part II

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Götze, U., Northcott, D., Schuster, P. (2015). Discounted Cash Flow Methods. In: Investment Appraisal. Springer Texts in Business and Economics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45851-8_3

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