Chapter 13 - Project Appraisal Techniques Flashcards

1
Q

What is investment appraisal

A

Project (investment) appraisal, is the financial and economic appraisal of a project or investment to assess its
viability and the value it may generate. Companies normally undertake investment appraisal to identify the attractiveness of an investment before committing to high levels of capital expenditure, such as investing in a new factory, buying new machinery or making investment portfolio decisions

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2
Q

l

When analysing a project, what 5 questions need to be asked to ascertain if the project is viable?

A
  • What for? The objectives of the project – such as launching a new product.
  • How? The process and the internal and external resource requirements.
  • Who? For whom, by whom – project partners, stakeholders.
  • When? The time factor.
  • Where? The location.
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3
Q

What relevant factors should be taken into account when making investment decisions?

A
  • Future costs: an estimated quantification of the amount of a prospective expenditure.
  • Incremental costs: additional costs incurred from undertaking an additional activity or increasing the level of
    production.
  • Cash flows or cash-based costs : any expenses or costs that are predicted to be paid in cash. Non-cash items
    such as depreciation should be ignored.
  • Financing costs: opportunity costs. For example, a company bears an opportunity cost in the interest foregone on cash by investing it in £50,000 of new machinery.
  • The timing of returns: early returns are preferred to later ones. Returns can be reinvested to generate a higher value at the later date.
  • Working capital: new projects require additional working capital such as inventory and trade receivables in running the project, which must be taken into consideration.
  • Taxation: the profits subject to taxation and tax relief from the capital cost of the project must be considered.
  • Future inflation: future revenues and costs will be impacted by inflation to different degrees. For example, the cost of oil, gas and electricity is likely to be impacted more quickly than wages and salaries.
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4
Q

What factors are irrelevant for investment decision-making?

A

Non-relevant factors are those that are irrelevant for project appraisal decision making. They include the following.
* Sunk costs: past expenditure that cannot be recovered and hence cannot be influenced by the current decision.
* Committed costs: obligations that cannot be revoked.
* Non cash items: items such as depreciation which are just accounting entries with no impact on cash flows.
* Allocated costs: costs that are clearly assigned to specific projects, processes or departments, such as the
apportionment of overheads that would be incurred in any event.

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5
Q

Key Project appraisal methods (5)

A

Non-discounting methods
* Payback method
* Accounting rate of return (ARR)
Discounted cash flow methods
* Net present value
* Internal rate of return
* Discounted payback

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6
Q

What is the payback period method and how is it calculated?

A

Number of years for project to recover initial investment. Based on expected cash-flows rather than profits, so provides a measure of liqiduity

Original cost of investment or initial cash outflows ÷ annual cash inflows

If the cash flows are uneven - use cumulative cash flows over the project’s life to calculate the payback period.

Decision rules
* Accepted - pays back investment within a specified time period/target period (so one should be set)
* Where there are mutually exclusive projects - shortest payback period should be chosen
- Shorter/quicker = more certainty of making a surplus
- Longer = more uncertain cash-flows/forecases are likely to be

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7
Q

Advantages and disadvantages of payback period method

A

Advantages
* Uses cash flows, not profits - no chance of manipulation
* Simple
* Adaptable
* It encourages a quick return and faster growth.
* Useful in certain situations ex. those involving rapidly changing technology.
* Maximises liquidity.

Disadvantages
* Ignores cash-flows after the project’sd payback period
* Subjectivity - no definitive investment answer for managers
* Ignores timings of cash-flows - solution is to use the discounted payback period method as this takes TVM into account
* Ignores profitability

`

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8
Q

What is accounting rate of return method and how is is calculated?

A

The accounting rate of return (ARR) method is also known as the return on capital employed (ROCE) method. It uses
accounting profits to estimate the average rate of return that a project is expected to yield over the life of the investment.
The ARR is measured as:
Average annual profits ÷ average capital investment × 100%
Where:
Average capital (investment) cost = (initial investment + scrap value) ÷ 2
And:
Average annual profits = total accounting profit over the investment period ÷ years of investment
<br></br>
Decision rules
* The project is undertaken when ARR is equal to or greater than the target rate of return.
* Where projects are mutually exclusive, the project with highest ARR (that also meets the target rate) is selected.

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9
Q

Advantages and disadvantages of ARR method

A

Advantages
* ARR is widely accepted and simple to calculate.
* It uses profits which are readily recognised by most managers. Managers’ performance may be evaluated using
ROCE. As profit figures are audited, it can be relied on to some degree.
* It focuses on profitability for the entire project period.
* It is easy to compare with other projects as it is linked with other accounting measures.
<br></br>
Disadvantages
* ARR ignores factors such as project life (the longer the project, the greater the risk), working capital and other
economic factors which may affect the profitability of the project.
* It is based on accounting profits that vary depending on accounting policies (such as depreciation policy).
* It does not take into account the time value of money.
* The return calculated via ARR can be calculated using different formulas. For example, the return can be calculated
using profit after interest and tax, or profit before tax – thus leading to different outcomes. It is important to ensure
that returns calculated via ARR are calculated on a consistent basis when comparing investments.
* It is not useful for evaluating projects where investment is made in stages at different times.
* It does not take into account any profits that are reinvested during the project period.

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10
Q

Caculating annual depreciation figure

A

(Initial Investment amount - scrap value) / useful years

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11
Q

Calculating average annual profit

A

annual cashflow - annual depreciation

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12
Q

What is the time value of money and what are the 3 instances related

A

The time value of money is the concept that money received today is worth more than the same sum received in the
future.
This occurs for three reasons.
* The potential for earning interest and savings on the costof finance: if money is received today it can either be spent or reinvested to earn more in future. Hence, investors have a preference for having cash/liquidity today. Savings now can also be used to repay debts, saving on cost of finance.
* Impact of inflation: the value of future cash flows can be eroded by inflation.
* Effect of risk: Future cash receipts may be uncertain, unlike cash received today.

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13
Q

What is compounding and how is it calculated?

A

Money invested today will earn interest in future. Compounding calculates the future value (FV) of a given sum invested
today for a number of years.
<br></br>
FV = PV(1 + r) ^n
Where:
FV = future value
PV = present value
r = rate of compound interest
n = number of years

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14
Q

What is discounting and how can it be calculated?

A

The timing of cash flows is taken into account by discounting. This is the opposite of compounding: it starts with a future
value (FV) to reach a present value (PV).
This provides a ‘discounted value’ of a future sum of money or stream of cash flows using a specified rate of return.
Present value means a current cash equivalent of a discounted sum of money receivable or payable at a future date.
A discount rate is the rate of return used in discounted cash flow analysis to determine the present value of future cash
flows. The discount rate will give the current worth of the future value. For example, at any discount rate, £1 earned after
one year will have a current worth or present value of less than £1.
In a discounted cash flow analysis, the sum of all cash flows at FV over the holding period (n), is discounted back to PV
using a rate of return (r).
<br></br>
The formula is:
PV = FV ÷ (1 + r) n
Where:
FV = future value
PV = present value
r = rate of compound interest
n = number of years
The present value factor (PV factor) is calculated as:
1 ÷ (1 + r) n
<br></br>
The PV factor is the current value today per £1 received at a future date. The future value can be calculated by
multiplying the present value factor by the amount received at a future date.

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15
Q

Negative interest rates - what are they/when used - effect on formulae of compounding and discounting

A

Negative interest rates are an unconventional and seemingly counterintuitive, monetary policy tool.
Central banks impose the drastic measure of negative interest rates when they fear their national economies are slipping
into a deflationary spiral, in which there is no spending – which results in dropping prices, no profits and no growth.
With negative interest rates, cash deposited at a bank yields a storage charge, rather than the opportunity to earn
interest income; the idea is to incentivise lending and spending, rather than saving and hoarding.
In recent years, several European and Asian central banks have imposed negative interest rates on commercial banks.
The time value of money says that money received today is worth more than the same sum received in the future. This
is reversed if the interest rate is negative. Money received today is worth less than the same sum received in the future.
This is calculated using the formula for compounding, as follows:
FV = PV(1 + r) n
If r is negative then 1 + r will be less than 1. As we compound it by n, the value will get smaller, rather than larger.

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16
Q

What is net present value?

A

Net present value is the net value of a capital investment or project, obtained by discounting all cash outflows and inflows
to their present values by using an appropriate discounted rate of return.Net present value is a commonly used DCF method of project appraisal. It uses cash flows (that can be spent and have
an opportunity cost) rather than accounting profits (that cannot be spent). It ignores non-cash items such as depreciation
while including the initial cost of the project and any residual value in the calculation of net cash flows.
The timings of the cash flows are important. Initial investment occurs at the start of the year (T0)

By convention, other cash flows start at the end of the first year (T1)) and the end of each subsequent year. The NPV method compares the present values of cash inflows with the present value of cash outflows for an investment. It can be summarised as:
NPV = PV of cash inflows – PV of cash outflows
The project or investment could be undertaken if its NPV is positive.
<br></br>
Decision rules
* The project could be undertaken if its NPV is positive.
* When comparing mutually exclusive projects, the project with the highest positive NPV is selected.

17
Q

Where NPV is not positive

A
  • Negative = returns from investment or PV of net cash inflows are less than the cost of capital. The project should not be undertaken.
  • Nil = returns from investment or PV of net cash inflows is equal to the cost of capital.
18
Q

Advantages and disadvantages of NPV method

A

Advantages
* Theoretically, the NPV method of investment appraisal is superior to all other methods.
* It considers the time value of money through the discount rate.
* It is an absolute measure of return.
* It is based on cash flows, not profits (which vary depending on accounting policies).
* It takes into account all cash flows throughout the life of a project.
* It maximises shareholder wealth by only undertaking projects with positive NPVs that ensures a surplus over and above the costs of finance.
<br></br>
Disadvantages
* The NPV method can be difficult to explain to managers as it uses cash flows rather than accounting profits.
* The calculation of discount rates can be challenging and requires knowledge of the cost of capital.
* It is relatively complex compared to non-discounting methods such as the payback period and ARR.#

19
Q

What is an annuity?

A

An annuity is a series of fixed payments made at regular intervals during a specified period of time. When a loan is
repaid in annuity, each instalment is a fixed amount usually consisting of a repayment of part of the principal and the
interest expense for the period. The principal repayment increases over time while the interest expense decreases.

20
Q

What is an annuity and how is it calculated?

A

An annuity factor (AF) is used to calculate the present value of an annuity. The PV of an annuity stream is the current

value of future periodic payments, calculated by multiplying the fixed periodic payment by the annuity factor. Annuity
factors are based on the number of years involved and an applicable rate of return or discount rate.
The AF is the sum of the individual discount factors. The PV of an annuity can be found using the formula:
PV = annual cash flow × AF
<br></br>
Where:
AF = [1 – (1 + r) ^n ] ÷ r
r = the discount rate
n = the number of periods in which payments will be made

21
Q

What is a perpetuity and how is it calculated?

A

A perpetuity is a type of annuity or a constant stream of cash flow that continues indefinitely. Certain types of government
bonds pay annual fixed coupons for as long as the bondholders hold the bonds. Discounting a perpetuity is used in
valuation methodologies (such as shareholder value analysis or SVA) to find the present value of a company’s cash flows
when discounted at an applicable rate of return.
<br></br>
The PV formula for a perpetuity is -

PV = annuity per period (cash flow) ÷ discount rate

22
Q

Steps - intropolation - IRR

A
  1. Find discount rates that give a positive NPV and a negative NPV. If the NPV is positive, use a higher discount rate to
    get a negative NPV. If the NPV is negative, use a lower discount rate to get a positive NPV.
  2. Estimate a discount rate between these two rates that will produce zero NPV.
  3. Calculate IRR using the following formula:IRR = LR + (NPV @ LR / (NPV @ LR - NPV @ HR) ) x (HR-LR)

L and NPV represent the lower discount rate and its NPV
H and NPV represent the higher discount rate and its NPV

23
Q

Summar of IRR method

A
  • The Internal Rate of Return (IRR) is a financial evaluation method used to assess the attractiveness of an investment or project in British Pounds (GBP) or any other currency. It is a critical tool for decision-making in the business world. Here’s how it works:
  • Cash Flow Analysis: To use the IRR method, you need to analyze the project’s cash flows over time in GBP. These cash flows typically include initial investments (negative) and future returns (positive) that the project is expected to generate.
  • IRR Calculation: The IRR is the interest rate at which the Net Present Value (NPV) of the project becomes zero. In simpler terms, it’s the rate at which the project’s total expected returns match the total expected costs. You can use financial software or calculators to find this rate.
  • Decision Making: Once you’ve calculated the IRR, compare it to your required rate of return or the cost of capital for the project. If the IRR is higher than the cost of capital, it suggests that the project is likely to be profitable and may be a good investment. If the IRR is lower than the cost of capital, the project might not be financially viable.
  • GBP Currency Consideration: Make sure all cash flows are in GBP if you want the IRR in British Pounds. This includes initial investment, operating costs, and revenue.
  • Project Selection: IRR is a helpful tool for comparing different projects or investments in the UK or any other region where GBP is the currency. Choose the project with the highest IRR if you have multiple options. A higher IRR indicates a potentially better return on investment.
  • Remember that IRR is just one method of project appraisal, and it has its limitations. It doesn’t account for the scale of the project or consider the reinvestment rate of cash flows. However, it provides a useful way to evaluate the potential profitability of an investment in British Pounds or any other currency.
24
Q

Advantages of IRR method

A
  • The IRR method evaluates potential returns and the attractiveness of potential investments.
  • It uses real cash flows rather than profits, which can be manipulated by the use of different accounting policies.
  • It takes account of the time value of the money.
  • It considers risk of future cash flows (through comparison with the cost of capital in the decision rule).
  • Excess IRR over the cost of capital indicates the excess return for the risk contained in the project.
  • It gives a percentage rate that can be compared to a target (cost of capital). This is easier for management to
    understand and interpret than the concept of NPV.
25
Q

Disadvantages of IRR method

A
  • The IRR is a relative measure that gives a percentage rate that can be compared to a target cost of capital. It ignores other factors such as project duration, future costs and the relative size of the investments. A larger project with a lower IRR may generate a larger surplus than a smaller project with a higher IRR.
  • It is not a measure of profitability in absolute terms (unlike the NPV method). The IRR method does not measure the absolute size of the investment or the return.
  • It is the most complex of all investment appraisal methods to calculate. Interpolation by trial and error only
  • It only provides an estimate, thus requiring a spreadsheet for a more accurate estimate.
  • It may not lead to value maximisation when used to compare mutually exclusive projects.
  • It may not lead to value maximisation of projects when used to choose projects when there is capital rationing.
  • The interpolation method cannot be used for non-conventional cash flows. A project that has large negative cash flows later in its life may give rise to multiple IRRs.
  • It assumes that the positive future cash flows are reinvested to earn the same return as the IRR. This may not be possible in real life.
26
Q

Discounted payback method and how to calculate

A

The discounted payback period method (or adjusted payback period) helps determine the time period required by
a project to break even. It combines the techniques used in the payback period and DCF to calculate a discounted
payback period. This involves discounting the cash flows and then calculating how many years it takes for the discounted
cash flows to repay the initial investment.

<br></br>

Discounted payback period = original cost of investment / initial cash flows ÷ PV of annual cash flows

27
Q

Advantages of discounted payback method

A
  • The discounted payback method considers the time value of money.
  • It uses cash flows, not profit.
  • It considers the riskiness of the project’s cash flows (through the cost of capital).
  • It determines whether the investments made are recoverable.
28
Q

Disadvantages of discounted payback method

A
  • The discounted payback method is subjective as it gives no concrete decision criteria that indicates whether the investment increases the firm’s value.
  • It requires an estimate of the cost of capital in order to calculate the payback period.
  • It ignores cash flows beyond the discounted payback period.
  • Calculations can become complex if there are multiple negative cash flows during the project’s life.
29
Q

impact of inflation on interest or discount rates

A

Inflation is a general increase in the money price of goods and services leading to a general decline in the real value or
the purchasing power of money. In times of inflation, lenders will require a return made up of two elements:
* a real return to compensate for the use of their funds (the expected return with no inflation in the economy); and
* an additional return to compensate for their lost purchasing power from inflation.
The overall required return is called the money, nominal or market rate of return. The nominal rate of return and real rate
of return are linked by the equation proposed by Irving Fisher in 1930:
real interest rate = nominal interest rate − inflation rate
If a loan has a 10% interest rate and the inflation rate is 3%, we subtract the inflation rate from the nominal interest rate
to get the real return of 7%. The borrower and lender use their expectations of future inflation to determine the interest

30
Q

The impact of inflation on cash flows

A
  • Cash flows at current prices do not account for expected inflation. The expected cash flows that are increased to account
    for inflation are referred to as money (or nominal) cash flows. They represent expected flows of money and, unless
    otherwise stated, are normally assumed to be the money cash flows.
  • Inflation affects both the estimated cash flows and the discount rate. Inflation is incorporated into NPV calculations using
    one of the following two methods.
  • Using nominal future cash flows that incorporate expected inflation by building in expected price increases
    and discounting using the nominal discount rate. This is the better method for taking into account price increases.
  • Using real cash flows that are expressed at today’s price level and discounting them using the real discount rate
    (the cost of capital after removing the rate of general inflation). It is assumed that the future price changes will be
    the same as the general rate of inflation.
31
Q

TAX EFFECTS

A

Corporate tax is charged on taxable profits for most companies. Therefore, tax must be considered in any investment
appraisal. The impact of taxation on cash flows is felt in different ways but the most common impacts for NPV purposes
include:
* tax charges on profit figures;
* tax relief for an acquired asset in the form of capital allowance or writing down allowances; or
* tax on the sale or disposal of an asset at the end of the project.
Tax is normally payable one year in arrears. It is therefore included in NPV calculations with a one-year delay. The
discount rate can be either pre or post-tax.
The tax effect is incorporated into the overall discount rate (WACC) by adjusting for the tax relief on interest paid on the
cost of debt. When calculating WACC, the after-tax discount rate is used to calculate the cost of debt (see Chapter 12).

32
Q

Writing down allowances

Writing down allowances

A

Companies can also benefit from writing down allowances (WDAs, also known as capital allowances). This tax relief is
an alternative to depreciation deductions from accounting profit. It provides a tax benefit by reducing the amount of tax
payable. Writing down allowances are calculated on the written-down value of the assets. They are claimed as early as
possible in the asset’s life and are claimed annually until the total allowances equate the cost less any scrap proceeds.
A further balancing allowance arises in the year of disposal or scrapping if the disposal proceeds are lower than the tax
written-down value. A balancing charge can arise if the disposal proceeds are greater than the tax written-down value.
Tax implications will not be examined via calculation questions in the examination.

33
Q

What is capital rationing?

A

Shareholder wealth is maximised if a company undertakes all possible positive NPV projects. However, when there are
insufficient funds to do so, investment capital is rationed or limited. Capital rationing is a strategy implemented when a
company has more acceptable projects than can be financed from existing funds. A choice will have to be made between
acceptable projects. Capital rationing can apply to a single reporting period or to multiple periods.

34
Q

What are the 2 types of capital rationing?

A
  • Hard capital rationing: when lending institutions impose an absolute limit on the amount of finance available. The
    reasons may include:
    – industry-wide factors limiting funds; or
    – company-specific factors like a poor track record, lack of asset security or poor management limiting funds.
  • Soft capital rationing: when a company voluntarily imposes restrictions that limit the amount of funds available for
    investment in projects. This is contrary to the rational view of shareholder of wealth maximisation. The reasons may
    include:
    – internal company policies;
    – limited management skills for handling multiple financing options;
    – the desire to maximise return on a limited range of investments;
    – limiting exposure to external finance; and
    – focusing on existing substantial profitable businesses or divisions.
35
Q

Dealing with single-period capital rationing using the profitability index

A

When there is a shortage of funds for one period, it is referred to as single-period capital rationing.
Divisible projects
Projects are considered to be divisible when any fraction of the project can be undertaken. The returns from the project
should be generated in exact proportion to the amount of investment undertaken.
The profitability index (PI) or benefit–cost ratio can be used for dealing with divisible projects or comparing individual
projects. The profitability index calculates the present value of cash flows generated by the project per a unit of capital
outlay. It can provide a solution when the company cannot undertake all acceptable projects due to limited budgets. The
<br></br> PI formula is as follows:
PI = NPV ÷ original cost of investment or initial cash outflow <br></br>
Decision rules
* When there are alternative projects, rank the projects according to PI and allocate funds according to the projects’
rankings – for example, projects with the highest PI would be approved
* The aim when managing capital rationing is to maximise the NPV earned for each pound invested in a project.