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Assess risks for decision-making
Hernan Huwyler, MBA CPA
Test your budget
assumptions
Assumptions Best Base Worst
Growth in demand 7% 5% 2%
Price increase – inflation (in real terms) 2% 0% -7%
Days of outstanding sales 50 days 70 days 180 days
Impact on cash flow
Growth in demand 2% 0% -5%
Price increase – inflation (in real terms) 8% 0% -15%
Days of outstanding sales 5% 0% -10%
Scenario analysis Cashflow % Occurrence
Best €50M 20%
€30M
Base €40M 50%
Worst €0M 30%
Cash flow w/ scenario analysis
Cash flow w/o scenario analysis
Budget Modeling
Modeling Tool
Project Net Cash Flows
Best case (5%)
Worse case (95%)
Risk of being short of cash
after overoptimistic
assumptions
Estimated
cash
flow
1 2 3 4 5 6 7
Year
Trade-off between risk and
profitability
Choose between capital investments
Allocate available capital
Identify competitive advantages
Internal
rate
of
return
Low risk and return
High risk and return
A
B
Risk and Return
Risk exposure
Net present value at risk as % investment
Extract key
assumptions
used on
• Businessplans
• Budgets
• Bids
Improve the used
planning models to
analyze the
volatility on the
assumptions
Run +10,000
random
simulations
Analyze results
• Histograms
• Lossexceedance
curves
• Tornadocharts
Monte Carlo Simulations
Planning assumptions Volatility
Sales 1,000 90% sure between 800 to 1,100
- Variable costs (600) 80% sure between 450 to 800
- Fixed costs (300) 95% sure between 280 to 320
Profit 100
Monte Carlo Simulations
800 1,100
#
cases
90%cases
450 800
#
cases
80%cases
Sales Variable costs Fixed costs
280 320
#
cases
95%cases
Plan
1,000
Plan
600
Plan
300
Monte Carlo Simulations
Sales
800 1,100
#
cases
90%cases
Ln (Max) + Ln (Min)
2 Standard Error
P(A), μ = , σ =
Single
Loss =
Ln
Ln (Max) - Ln (Min)
Confidence Interval
Standard
Error
80% 2.56
90% 3.29
95% 3.92
99% 5.15
Monte Carlo Simulations
Sales
800 1,100
#
cases
90%cases
Monte Carlo Simulations
1400
1200
1000
800
600
1
346
691
1036
1381
1726
2071
2416
2761
3106
3451
3796
4141
4486
4831
5176
5521
5866
6211
6556
6901
7246
7591
7936
8281
8626
8971
9316
9661
Plan 1000, 75.1%
1200
1000
800
600
400
200
1
335
669
1003
1337
1671
2005
2339
2673
3007
3341
3675
4009
4343
4677
5011
5345
5679
6013
6347
6681
7015
7349
7683
8017
8351
8685
9019
9353
9687
450 800
#
cases
80%cases
Variable costs
Plan 600, 2%
Monte Carlo Simulations
280 320
250
290
270
310
350
330
1
324
647
970
1293
1616
1939
2262
2585
2908
3231
3554
3877
4200
4523
4846
5169
5492
5815
6138
6461
6784
7107
7430
7753
8076
8399
8722
9045
9368
9691
#
cases
95%cases
Fixed costs
Plan 300, 57.8%
Monte Carlo Simulations
Loss Exceedance Curve
-1000
-800
0
-200
-400
-600
200
600
400
1
224
447
670
893
1116
1339
1562
1785
2008
2231
2454
2677
2900
3123
3346
3569
3792
4015
4238
4461
4684
4907
5130
5353
5576
5799
6022
6245
6468
6691
6914
7137
7360
7583
7806
8029
8252
8475
8698
8921
9144
9367
9590
9813
Plan 100, 98%
Plan has 98% chances to fail
Tornado Chart
Sales
Variablecosts
Fixed costs
+600 -800
Key: ensure the efficiency of controls reducing variables costs

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Test your budget assumptions