Investment appraisal Flashcards
The four main methods of
investment appraisal
Payback
ARR
NPV
IRR
Basic idea: Payback
Time taken to pay back the initial investment
Basic idea: ARR
Average return on initial investment
Basic idea: NPV
PV of inflows minus PV of outflows
Basic idea: IRR
Discount rate to give NPV = 0
Reasons NPV theoretically supeiror
Takes account of the time value of money (whereas ARR and payback do not)
Is an absolute measure of return (unlike IRR which is relative – sometimes it is
better to have a small return on a big investment than a large return on a small investment)
Is based on cash flows not profits – it is more appropriate to evaluate future cash flows than accounting profits, because profits are more subjective (and
can’t be spent or used to pay dividends)
Considers the whole life of the project (payback, for example, ignores cash
flows after the payback period).
Non-financial factors in considering investment appraisal
Compliance with legislation
Impact on key stakeholders
Impact on reputation
Sustainability
Formula: Present value of a single cash flow
1 / ((1+r)^n)
Formula: Present value of an annuity cash flow
**(1/r) X (1 - **1/((1+r)^n)
Formula: Present value of a perpetuity cash flow
Perpetuity cash flow X (1/r)
Formula: Present value of growing perpetuity
(Cash flow at t1) X (1/(r-g))
g = growth
Relevant cash flow definition
Future incremental cash flows which arise as a result of a decision being taken
Relevant cash flow calculation
Cash flow if action taken
Minus
Cash flow if not taken
Relevant cash flows: Things ignored
Finance costs (interest, divs…)
As accounted for in discount rate
Sunk costs
Committed costs
Allocated and apportioned costs
Non-cash items
Book values
Relevant cash flows: Opportunity cost definition
The change in cash flow if a unit of resource is used in a project rather than on the next best alternative
Deprival value of asset =
Lower of
- Replacement cost
- Recoverable amount
Deprival value of asset: Recoverable amount =
Higher of
- Value in use
(Economic value) - Net realisable value
Working capital definition
Cash ‘tied up’ in the project (Will get it back, but can’t use while in project e.g. inventory, receivables)
Investment appraisal: Treatment of working capital
The initial working capital required is a cost at the start of the project
If the working capital requirement changes during the project, only the increase (or decrease) is a relevant cash outflow (or inflow)
At the end of the project, all the working capital is ‘released’ and therefore gives rise to a cash inflow.
Appraising investments: Tax: Impact of: Operating flows
More income – tax outflow
More costs – tax inflow
Appraising investments: Tax: Impact of: Disposal proceeds
Capital allowances
Appraising investments: Tax: Impact?
No tax impact
Appraising investments: Tax assumptions: When paid
End of the year
Appraising investments: Tax assumptions: Profit or loss?
Assuming company making profit
Appraising investments: Tax assumptions: Capital allowances
Just 18%
Reducing balance
Except year of disposal, where a balancing figure
(Total allowances = fall in value of asset i.e. cost less scrap value)
Appraising investments: Tax assumptions: What else to pay attention to?
Date asset bought (When is first period end so taxable allowance?)
Investment appraisal: The 2 effects of inflation
- Specific inflation - on cash flows
e.g. labor, materials - General inflation - on discount rate
i.e. for general goods
Investment appraisal: Where cash flows have not been increased for expected inflation
Current cash flows
Investment appraisal: Where cash flows have been increased to take account of expected inflation (Assume this in exam)
Money cash flows
Investment appraisal: The rate investors expect
(Made up of the real rate & inflation rate)
Money rate
Investment appraisal: Money rate formula
(1 + money rate) = (1 + real rate) x (1 + inflation rate)
Investment appraisal: 2 ways of dealing with impact of inflation
- money @ money
- real @ effective
Investment appraisal: Dealing with inflation: Money @ money: Steps
- Inflate by specific rate
- Discount using money rate
Preferred method
Investment appraisal: Dealing with inflation: Real @ effective: Can be used for
Perpetuities or long annuities
Investment appraisal: Dealing with inflation: Real @ effective: Steps
- Cash flows are left in real terms.
- A specific ‘effective’ discount rate is
calculated for each given cash flow:
Investment appraisal: Dealing with inflation: Real @ effective: Effective discount rate formula
1 + effective rate = (1 + money rate)/(1 + specific inflation rate)
Investment appraisal: 4 classes
- Prevention
e.g. staff training - Appraisal
e.g. monitoring regulatory compliance - Internal failure
e.g. recycling scrap materials - External failure
e.g. cleaning oil spill
Investment appraisal: Benefits of understanding environmental costs
Including these within the costing system will allow for better pricing decisions
Managing and controlling these costs may avoid fines and save money
Regulatory compliance
Replacement analysis: How to find the optimum economic life
- For each possible economic life, calculate the NPV of a single asset cycle.
- The NPV of each option is then converted into an ‘Equivalent Annual Cost’. This is the equal annual cash flow (annuity) to which a series of uneven cash
flows is equivalent in PV terms.
3 Choose the strategy with the lowest EAC.
Replacement analysis: EAC calculation
PV of costs / Annuity factor
Annuity factor = sum of discount factors
Replacement analysis: Assumptions
- The cost of the asset will not be subject to inflation
- The operating efficiency of assets different ages will be similar
in practice, new technology and/or obsolescence will mean that regular
replacement is preferred - The asset will be replaced in perpetuity or at least into the foreseeable future
in practice, products and therefore the assets required for their production
usually have a finite life cycle
Investment appraisal: Capital rationing: Definition
Where there are a number of positive NPV projects available, but insufficient funds to take on all these projects
Investment appraisal: Capital rationing: Definition: 2 types
1. ‘Hard’ capital rationing
an actual shortage of funds.
2. ‘Soft’ capital rationing
an internally imposed (budgetary) limit on funds
Investment appraisal: Capital rationing: Definition: 2 types of project
1. Infinitely divisible
Can do part of the project and gain part of the NPV
2. Indivisible
Has to be done in full to receive any NPV
Investment appraisal: Capital rationing: Infinitely divisible projects: Process
- Ranked according to the NPV earned per £1 invested in the cash-restricted period.
- Funds should then be applied to the projects in ranking order until they are
gone.
Investment appraisal: Capital rationing: Indivisible projects: Process
Trial and error
7 Drivers of value of a business (That benefit future cash flows)
(More popular than profit/ratios now)
Sales
Life of project
Operating cash flows
Working capital
Cost of capital
Asset
Tax
Investment valuation: What doesn’t any NPV calculation take into account of?
Real options
Effectively flexibility
A superior analysis would be:
Worth of a project = Traditional NPV + Value of any associated options
Investment valuation: 5 real options
1. Follow on options
E.g. A firm is considering developing a new product. Even though its NPV is
negative, producing this product would allow the launch of a new version of the product in a few years’ time.
2. Abandonment options
E.g. A firm is considering investing in two projects, the first requiring investment in specialised plant with a very low resale value, the second requiring investment in land. Even though the first project might have a higher NPV, the second has a
feasible option to abandon.
3. Timing options
E.g. A firm is looking at two projects. The first has to be started now; the second can be started at any point in the next five years.
4. Growth options
E.g. A firm is looking at two projects, one requires a full commitment now, the other allows it to start with a small capacity but to expand later on if the market conditions
are right.
4 Additional considerations when investing overseas
1. Market attractiveness
For example, GDP and forecast demand in the region.
2. Competitive advantage
Do we have experience and understanding of this and/or similar markets?
3. Political risk
Is political or government action likely to affect value. This might include:
– import quotas and/or tariffs
– legal restrictions on products
– restriction on foreign ownership
– enforced nationalisation.
4. Cultural risk
Differences in culture and business behaviours in a foreign country.