

SENSITIVITY ANALYSIS
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AMIRAH AQILAH
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28 Slides • 15 Questions
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SENSITIVITY ANALYSIS

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By the end of this lesson, you will be able to
Apply investment appraisal techniques to a range of capital budgeting scenario
Able to make appropriate recommendations
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So now, let's rewind our past discussion
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WHAT IF?
Sensitivity analysis typically involves asking ‘what if?’ questions.
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WHAT IF?
For example, what if demand fell by 10% compared to our original forecasts? Would the project still be viable?
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FORMULA =
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To make a better understanding, let test our knowledge....
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Here is a given situation
You are considering an investment that would cost you RM7,000,000
Sales of the product is expected to be RM6,500,000 for the next TWO (2) years
Fixed cost is RM 2,000,000
Discount rate is 8%
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So what is the NPV of this investment?
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Multiple Choice
Let's check the PV for our initial investment. Which one is the correct one?
(-7,000,000) X 1 = (-RM7,000,000)
7,000,000 X 1 = RM7,000,000
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INITIAL INVESTMENT = (-RM7,000,000)
Remember! Initial investment is our cost. So it is a negative value.
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Multiple Choice
Sales of the product is expected to be RM 6,500,000 for the next TWO years. Your Discount rate is 8%
Now calculate PV for your Cash Flow.
6,500,000 X 1.783 = 11,589,500
6,500,000 x 0.857 = 5,570,500
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PV for Cash Flow = RM 11,589,500
Remember! Cash Flow is consistent and you must use PV Annuity table
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Multiple Choice
Next step, calculate PV for your Fixed Cost. (Fixed cost = RM 2,000,000
(-2,000,000) x 1.783= (-RM3,566,000)
2,000,000 x 1.783= RM3,566,00
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PV for Fixed Cost = (-RM3,566,000)
Yes correct! It is a cost ,thus it is a negative value.
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What is our next step?
You have calculated PV
Year 0 = Initial Investment =(RM 7,000,000)
Year 1 -2 = Cash Flow = RM 11,589,500
Year 1 -2 = Fixed Cost =(RM 3,566,000)
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Multiple Choice
Now calculate your NPV.
(-7,000,000)+11,589,500+(-3,566,000) = RM1,023,500
7,000,000+11,589,500+3,566,000 =
RM22,155,500
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Multiple Choice
You NPV is RM1,023,500
Should we accept this project?
Totally NO NO NO!
YES we should!
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Your NPV is RM1,023,500
Because it is a POSITIVE, we should accept this project because it brings us PROFIT!
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Now it is time to calculate Sensitivity Analysis
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Multiple Choice
Before that, let's recap the formula
NPV÷ PV of CF under consideration
PV of CF under consideration ÷ NPV
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FORMULA
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Multiple Choice
Calculate your SENSITIVITY ANALYSIS of your INITIAL INVESTMENT
Year 0 = Initial Investment =(RM 7,000,000)
Year 1 -2 = Cash Flow = RM 11,589,500
Year 1 -2 = Fixed Cost =(RM 3,566,000)
NPV is RM1,023,500
(RM1,023,500 ∕RM7,000,000 ) x 100 = 14.6%.
(RM7,000,000 ∕ RM1,023,500) x 100 = 7.17%.
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Your sensitivity to INITIAL INVESTMENT IS 14.6%
Therefore, the initial investment can rise by 14.6% before NPV becomes negative
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Multiple Choice
Calculate your SENSITIVITY ANALYSIS of your CONTRIBUTION
Year 0 = Initial Investment =(RM 7,000,000)
Year 1 -2 = Cash Flow = RM 11,589,500
Year 1 -2 = Fixed Cost =(RM 3,566,000)
NPV is RM1,023,500
(RM1,024,850 ∕3,566,000 ) x 100 = 28.7%
(RM1,023,500 ∕11,589,500 ) x 100 = 8.83%
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Your sensitivity to CONTRIBUTION IS 8.83%
Therefore, the selling price can fall by 8.83% before NPV becomes negative.
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Multiple Choice
Calculate your SENSITIVITY ANALYSIS of your FIXED COST
Year 0 = Initial Investment =(RM 7,000,000)
Year 1 -2 = Cash Flow = RM 11,589,500
Year 1 -2 = Fixed Cost =(RM 3,566,000)
NPV is RM1,023,500
(RM1,023,500 ∕3,566,000 ) x 100 = 28.70%
(RM1,024,850 ∕11,591,450 ) x 100 = 8.84%
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Your sensitivity to FIXED COST IS 28.7%
Therefore, operating costs can rise by 28.7% before NPV becomes negative.
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NEXT you have to calculate sensitivity to COST OF CAPITAL
But before that , you need to calculate your IRR
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Multiple Choice
NPV 1 = RM1,023,500 //R1 = 8%
NPV 2 = ? // R2 = 20%
TRY FIND NPV 2?
Year 0 = Initial Investment =(RM 7,000,000)
Year 1 -2 = Cash Flow = RM 6,500,000
Year 1 -2 = Fixed Cost =(RM 2,000,000)
(annuity table; Year 2 = 1.5278)
5,260,366
-128,500
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Multiple Choice
NOW CALCULATE YOUR IRR.....
15.69%
18.66%
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Recommendation
This means that cost of capital can increase by 18.66% before NPV becomes negative.
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Poll
How is your feeling right now?
It was easy. I can understand all of it!
Need more practice
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PROBABILITY ANALYSIS
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Let's rewind a little bit about probability analysis
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PROBABILITY ANALYSIS
When there are several possible outcomes for a decision and probabilities can be assigned to each, a probability distribution of expected cash flows can often be estimated.
This recognises there are several possible outcomes, not just one.
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The FORMULA for calculating an EV is
EV =∑px
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PROBABILITY ANALYSIS
You have to chose between 3 mutually exclusive project
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Multiple Choice
WHICH PEOJECT SHOULD WE CHOOSE?
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PROJECT 3 should be undertaken
However it should be noted that Project 3 is also the most risky option as it has the widest range of potential outcomes.
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Poll
Now I'm able to apply investment appraisal techniques (SENSITIVITY AND PROBABILITY ANALYSIS) to a range of capital budgeting scenario
YES!
NOT YET
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Poll
Now I'm able to make appropriate recommendations
YES!
NOT YET
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SENSITIVITY ANALYSIS

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