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http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
• A means of assessing whether an
investment project is worthwhile or
not
• Investment project could be the
purchase of a new PC for a small firm, a
new piece of equipment in a
manufacturing plant, a whole new
factory, etc
• Used in both public and private sector
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
• Types of investment
appraisal:
– Payback Period
– Accounting Rate of
Return (ARR)
– Internal Rate of
Return (IRR)
– Profitability Index
– Net Present Value
(discounted cash flow)
What factors need to be considered before
investing in equipment such as this?
Copyright: Gergely Erno, stock.xchng
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
• Why do companies invest?
– Importance of remembering investment as the
purchase of productive capacity NOT buying stocks
and shares or investing in a bank!
• Buy equipment/machinery or build new plant
to:
– Increase capacity (amount that can be produced)
which means:
• Demand can be met and this generates sales revenue
• Increased efficiency and productivity
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
• Investment therefore
assumes that the
investment will yield
future income
streams
• Investment appraisal
is all about assessing
these income
streams against the
cost of the
investment
• Not a precise
science!
A fork lift may be an important item but
what does it contribute to overall sales?
How long and how much work would it have
to do to repay its initial cost?
Copyright: Loisjune, stock.xchng
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Payback Period
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Payback Method
• The length of time taken to repay
the initial capital cost
• Requires information on the returns the
investment generates
• e.g. A machine costs £600,000
• It produces items that generate a profit
of £5 each on a production run of
60,000 units per year
• Payback period will be 2 years
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Payback method
• Payback could occur during a year
• Can take account of this by
reducing the cash inflows from the
investment to days, weeks or
years
Days/Weeks/Months x Initial Investment
Payback = ------------------------------------------
Total Cash Received
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Payback Method
• e.g.
– Cost of machine =
£600,000
– Annual income
streams from
investment =
£255,000 per year
• Payback = 36 x
600,000/765,000
– = 28.23 months
– (2 yrs, 6¾ months)
Income
Year 1 255,000
Year 2 255,000
Year 3 255,000
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Accounting Rate of Return
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Accounting Rate of Return
• A comparison of the profit
generated by the investment with
the cost of the investment
Average annual return or annual profit
• ARR = --------------------------------------------
Initial cost of investment
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Accounting Rate of Return
• e.g.
• An investment is expected to yield cash flows
of £10,000 annually for the next 5 years
• The initial cost of the investment is £20,000
• Total profit therefore is: £30,000
• Annual profit = £30,000 / 5
= £6,000
ARR = 6,000/20,000 x 100
= 30%
A worthwhile return?
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
• To make a more
informed decision,
more sophisticated
techniques need to
be used.
• Importance of time-
value of money
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Net Present Value (NPV)
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Net Present Value
• Takes into account the fact that money values
change with time
• How much would you need to invest today to
earn x amount in x years time?
• Value of money is affected by interest rates
• NPV helps to take these factors into
consideration
• Shows you what your investment would have
earned in an alternative investment regime
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Net Present Value
• e.g.
• Project A costs £1,000,000
• After 5 years the cash returns =
£100,000 (10%)
• If you had invested the £1 million into a
bank offering interest at 12% the
returns would be greater
• You might be better off re-considering
your investment!
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Net Present Value
• The principle:
• How much would you have to invest now to
earn £100 in one year’s time if the interest
rate was 5%?
• The amount invested would need to be:
£95.24
• Allows comparison of an investment by
valuing cash payments on the project and
cash receipts expected to be earned over the
lifetime of the investment at the same point in
time, i.e the present.
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Net Present Value
Future Value
PV = -----------------
(1 + i)n
Where i = interest rate
n = number of years
• The PV of £1 @ 10% in 1 years time is 0.9090
• If you invested 0.9090p today and the interest
rate was 10% you would have £1 in a year’s
time
• Process referred to as:
‘Discounting Cash Flow’
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Net Present Value
• Cash flow x discount factor = present
value
• e.g. PV of £500 in 10 years time at a
rate of interest of 4.25% = 500 x
.6595373 = £329.77
• £329.77 is what you would have to
invest today at a rate of interest of
4.25% to earn £500 in 10 years time
• PVs can be found through valuation
tables (e.g. Parry’s Valuation Tables)
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Cash Flows
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Discounted Cash Flow
• An example:
• A firm is deciding on investing in an
energy efficiency system. Two possible
systems are under investigation
• One yields quicker results in terms of
energy savings than the other but the
second may be more efficient later
• Which should the firm invest in?
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Discounted Cash Flow – System A
Year Cash Flow (£) Discount Factor
(4.75%)
Present Value
(£)
(CF x DF)
0 - 600,000 1.00 -600,000
1 +75,000 0.9546539 71,599.04
2 +100,000 0.9113641 91,136.41
3 +150,000 0.8700374 130,505.61
4 +200,000 0.8305846 166,116.92
5 +210,000 0.7929209 166,513.39
6 +150,000 0.7569650 113,544.75
Total 285,000 NPV =139,416
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Discounted Cash Flow – System B
Year Cash Flow (£) Discount Factor
(4.75%)
Present Value (£)
(CF x DF)
0 - 600,000 1.00 -600,000
1 +25,000 0.9546539 23,866.35
2 +75,000 0.9113641 68,352.31
3 +85,000 0.8700374 73,953.18
4 +100,000 0.8305846 83,058.46
5 +150,000 0.7929209 118,938.10
6 +450,000 0.7569650 340,634.30
Total 285,000 NPV =108,802.70
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Discounted Cash Flow
• System A represents the better
investment
• System B yields the same return after
six years but the returns of System A
occur faster and are worth more to the
firm than returns occurring in future
years even though those returns are
greater
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Internal Rate of Return (IRR)
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Internal Rate of Return
• Allows the risk associated with an investment project to
be assessed
• The IRR is the rate of interest (or discount rate)
that makes the net present value = to zero
– Helps measure the worth of an investment
– Allows the firm to assess whether an investment in
the machine, etc. would yield a better return based
on internal standards of return
– Allows comparison of projects with different initial
outlays
– Set the cash flows to different discount rates
– Software or simple graphing allows the IRR to be
found
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Profitability Index
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Profitability Index
• Allows a comparison of the costs
and benefits of different projects
to be assessed and thus allow
decision making to be carried out
Net Present Value
Profitability Index = ---------------------
Initial Capital Cost
http://www.bized.co.uk
Copyright 2007 – Biz/ed
Investment Appraisal
• Key considerations for firms in
considering use:
– Ease of use/degree of simplicity required
– Degree of accuracy required
– Extent to which future cash flows can be
measured accurately
– Extent to which future interest rate
movements can be factored in and
predicted
– Necessity of factoring in effects of inflation

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Investment1Appraisal.ppt

  • 1. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal
  • 2. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal
  • 3. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal • A means of assessing whether an investment project is worthwhile or not • Investment project could be the purchase of a new PC for a small firm, a new piece of equipment in a manufacturing plant, a whole new factory, etc • Used in both public and private sector
  • 4. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal • Types of investment appraisal: – Payback Period – Accounting Rate of Return (ARR) – Internal Rate of Return (IRR) – Profitability Index – Net Present Value (discounted cash flow) What factors need to be considered before investing in equipment such as this? Copyright: Gergely Erno, stock.xchng
  • 5. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal • Why do companies invest? – Importance of remembering investment as the purchase of productive capacity NOT buying stocks and shares or investing in a bank! • Buy equipment/machinery or build new plant to: – Increase capacity (amount that can be produced) which means: • Demand can be met and this generates sales revenue • Increased efficiency and productivity
  • 6. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal • Investment therefore assumes that the investment will yield future income streams • Investment appraisal is all about assessing these income streams against the cost of the investment • Not a precise science! A fork lift may be an important item but what does it contribute to overall sales? How long and how much work would it have to do to repay its initial cost? Copyright: Loisjune, stock.xchng
  • 8. http://www.bized.co.uk Copyright 2007 – Biz/ed Payback Method • The length of time taken to repay the initial capital cost • Requires information on the returns the investment generates • e.g. A machine costs £600,000 • It produces items that generate a profit of £5 each on a production run of 60,000 units per year • Payback period will be 2 years
  • 9. http://www.bized.co.uk Copyright 2007 – Biz/ed Payback method • Payback could occur during a year • Can take account of this by reducing the cash inflows from the investment to days, weeks or years Days/Weeks/Months x Initial Investment Payback = ------------------------------------------ Total Cash Received
  • 10. http://www.bized.co.uk Copyright 2007 – Biz/ed Payback Method • e.g. – Cost of machine = £600,000 – Annual income streams from investment = £255,000 per year • Payback = 36 x 600,000/765,000 – = 28.23 months – (2 yrs, 6¾ months) Income Year 1 255,000 Year 2 255,000 Year 3 255,000
  • 11. http://www.bized.co.uk Copyright 2007 – Biz/ed Accounting Rate of Return
  • 12. http://www.bized.co.uk Copyright 2007 – Biz/ed Accounting Rate of Return • A comparison of the profit generated by the investment with the cost of the investment Average annual return or annual profit • ARR = -------------------------------------------- Initial cost of investment
  • 13. http://www.bized.co.uk Copyright 2007 – Biz/ed Accounting Rate of Return • e.g. • An investment is expected to yield cash flows of £10,000 annually for the next 5 years • The initial cost of the investment is £20,000 • Total profit therefore is: £30,000 • Annual profit = £30,000 / 5 = £6,000 ARR = 6,000/20,000 x 100 = 30% A worthwhile return?
  • 14. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal • To make a more informed decision, more sophisticated techniques need to be used. • Importance of time- value of money
  • 15. http://www.bized.co.uk Copyright 2007 – Biz/ed Net Present Value (NPV)
  • 16. http://www.bized.co.uk Copyright 2007 – Biz/ed Net Present Value • Takes into account the fact that money values change with time • How much would you need to invest today to earn x amount in x years time? • Value of money is affected by interest rates • NPV helps to take these factors into consideration • Shows you what your investment would have earned in an alternative investment regime
  • 17. http://www.bized.co.uk Copyright 2007 – Biz/ed Net Present Value • e.g. • Project A costs £1,000,000 • After 5 years the cash returns = £100,000 (10%) • If you had invested the £1 million into a bank offering interest at 12% the returns would be greater • You might be better off re-considering your investment!
  • 18. http://www.bized.co.uk Copyright 2007 – Biz/ed Net Present Value • The principle: • How much would you have to invest now to earn £100 in one year’s time if the interest rate was 5%? • The amount invested would need to be: £95.24 • Allows comparison of an investment by valuing cash payments on the project and cash receipts expected to be earned over the lifetime of the investment at the same point in time, i.e the present.
  • 19. http://www.bized.co.uk Copyright 2007 – Biz/ed Net Present Value Future Value PV = ----------------- (1 + i)n Where i = interest rate n = number of years • The PV of £1 @ 10% in 1 years time is 0.9090 • If you invested 0.9090p today and the interest rate was 10% you would have £1 in a year’s time • Process referred to as: ‘Discounting Cash Flow’
  • 20. http://www.bized.co.uk Copyright 2007 – Biz/ed Net Present Value • Cash flow x discount factor = present value • e.g. PV of £500 in 10 years time at a rate of interest of 4.25% = 500 x .6595373 = £329.77 • £329.77 is what you would have to invest today at a rate of interest of 4.25% to earn £500 in 10 years time • PVs can be found through valuation tables (e.g. Parry’s Valuation Tables)
  • 22. http://www.bized.co.uk Copyright 2007 – Biz/ed Discounted Cash Flow • An example: • A firm is deciding on investing in an energy efficiency system. Two possible systems are under investigation • One yields quicker results in terms of energy savings than the other but the second may be more efficient later • Which should the firm invest in?
  • 23. http://www.bized.co.uk Copyright 2007 – Biz/ed Discounted Cash Flow – System A Year Cash Flow (£) Discount Factor (4.75%) Present Value (£) (CF x DF) 0 - 600,000 1.00 -600,000 1 +75,000 0.9546539 71,599.04 2 +100,000 0.9113641 91,136.41 3 +150,000 0.8700374 130,505.61 4 +200,000 0.8305846 166,116.92 5 +210,000 0.7929209 166,513.39 6 +150,000 0.7569650 113,544.75 Total 285,000 NPV =139,416
  • 24. http://www.bized.co.uk Copyright 2007 – Biz/ed Discounted Cash Flow – System B Year Cash Flow (£) Discount Factor (4.75%) Present Value (£) (CF x DF) 0 - 600,000 1.00 -600,000 1 +25,000 0.9546539 23,866.35 2 +75,000 0.9113641 68,352.31 3 +85,000 0.8700374 73,953.18 4 +100,000 0.8305846 83,058.46 5 +150,000 0.7929209 118,938.10 6 +450,000 0.7569650 340,634.30 Total 285,000 NPV =108,802.70
  • 25. http://www.bized.co.uk Copyright 2007 – Biz/ed Discounted Cash Flow • System A represents the better investment • System B yields the same return after six years but the returns of System A occur faster and are worth more to the firm than returns occurring in future years even though those returns are greater
  • 26. http://www.bized.co.uk Copyright 2007 – Biz/ed Internal Rate of Return (IRR)
  • 27. http://www.bized.co.uk Copyright 2007 – Biz/ed Internal Rate of Return • Allows the risk associated with an investment project to be assessed • The IRR is the rate of interest (or discount rate) that makes the net present value = to zero – Helps measure the worth of an investment – Allows the firm to assess whether an investment in the machine, etc. would yield a better return based on internal standards of return – Allows comparison of projects with different initial outlays – Set the cash flows to different discount rates – Software or simple graphing allows the IRR to be found
  • 28. http://www.bized.co.uk Copyright 2007 – Biz/ed Profitability Index
  • 29. http://www.bized.co.uk Copyright 2007 – Biz/ed Profitability Index • Allows a comparison of the costs and benefits of different projects to be assessed and thus allow decision making to be carried out Net Present Value Profitability Index = --------------------- Initial Capital Cost
  • 30. http://www.bized.co.uk Copyright 2007 – Biz/ed Investment Appraisal • Key considerations for firms in considering use: – Ease of use/degree of simplicity required – Degree of accuracy required – Extent to which future cash flows can be measured accurately – Extent to which future interest rate movements can be factored in and predicted – Necessity of factoring in effects of inflation