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MODEL ASSUMPTIONS |
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Monte Carlo Simulation —
Financial Risk Analysis |
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SIMULATION PARAMETERS |
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Parameter |
Value |
Unit |
Description |
Min |
Max |
Notes |
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Number of Iterations |
1,000 |
Iterations |
Total Monte Carlo
simulation runs |
100 |
10000 |
Higher = more
accurate, slower |
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Random Seed |
42 |
Integer |
Seed for reproducible
results |
1 |
99999 |
Set to 0 for random
each run |
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Confidence Level (Primary) |
95.0% |
% |
Primary confidence
interval |
90.0% |
99.0% |
Industry standard:
95% |
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Confidence Level (Secondary) |
99.0% |
% |
Secondary confidence
interval |
90.0% |
99.9% |
For extreme tail risk |
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Projection Horizon |
5 |
Years |
Forecast period
length |
1 |
10 |
Annual periods |
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REVENUE ASSUMPTIONS |
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Parameter |
Value |
Unit |
Description |
Min |
Max |
Notes |
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Base Revenue (Year 0) |
50,000,000 |
$ |
Current annual
revenue |
10000000 |
500000000 |
Sample: $50M base |
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Revenue Growth Rate (Mean) |
8.0% |
% |
Expected annual growth rate |
-0.1 |
0.3 |
Normal distribution
applied |
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Revenue Growth Volatility |
5.0% |
% |
Std deviation of
growth rate |
0.01 |
0.2 |
Measures growth
uncertainty |
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Revenue Distribution Type |
Normal |
Type |
Probability
distribution model |
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Normal / Lognormal /
Triangular |
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Volume (Units Sold) |
500,000 |
Units |
Annual units sold |
100000 |
2000000 |
Sample data |
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Price Per Unit (Mean) |
$100 |
$/Unit |
Average selling price |
20 |
500 |
Sample data |
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Price Volatility |
3.0% |
% |
Std deviation of
price changes |
0.01 |
0.15 |
Measures pricing
uncertainty |
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Demand Elasticity |
-1.2 |
Coefficient |
Price sensitivity of
demand |
-3 |
0 |
Negative = inverse
relationship |
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COST ASSUMPTIONS |
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Parameter |
Value |
Unit |
Description |
Min |
Max |
Notes |
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COGS as % of Revenue (Mean) |
55.0% |
% |
Cost of goods sold
ratio |
0.3 |
0.8 |
55% gross margin
target |
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COGS Volatility |
3.0% |
% |
Std deviation of COGS
% |
0.01 |
0.1 |
Measures cost
uncertainty |
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Operating Expenses (Base) |
$12,000,000 |
$ |
Annual fixed
operating costs |
1000000 |
100000000 |
Sample: $12M OpEx |
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OpEx Growth Rate (Mean) |
4.0% |
% |
Expected annual OpEx
growth |
0 |
0.15 |
Inflation + expansion |
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OpEx Volatility |
2.0% |
% |
Std deviation of OpEx
growth |
0.005 |
0.1 |
Measures OpEx
uncertainty |
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Depreciation & Amortization |
$3,000,000 |
$ |
Annual D&A
expense |
500000 |
20000000 |
Sample: $3M D&A |
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Interest Rate (Mean) |
5.0% |
% |
Cost of debt |
0.01 |
0.15 |
Normal distribution
applied |
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Tax Rate |
25.0% |
% |
Effective corporate
tax rate |
0.15 |
0.4 |
Assumed constant |
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CORRELATION MATRIX |
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Rev Growth |
COGS % |
OpEx Growth |
Price Chg |
Interest Rate |
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Revenue Growth |
1.00 |
-0.30 |
0.50 |
0.60 |
-0.10 |
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COGS % |
-0.30 |
1.00 |
0.40 |
-0.20 |
0.20 |
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OpEx Growth |
0.50 |
0.40 |
1.00 |
0.10 |
0.30 |
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Price Change |
0.60 |
-0.20 |
0.10 |
1.00 |
-0.15 |
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Interest Rate |
-0.10 |
0.20 |
0.30 |
-0.15 |
1.00 |
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PORTFOLIO & DEBT ASSUMPTIONS |
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Parameter |
Value |
Unit |
Description |
Min |
Max |
Notes |
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Total Debt |
$20,000,000 |
$ |
Outstanding debt
balance |
0 |
200000000 |
Sample: $20M debt |
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Total Equity |
$30,000,000 |
$ |
Equity value |
1000000 |
500000000 |
Sample: $30M equity |
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Portfolio Value |
$50,000,000 |
$ |
Total portfolio (Debt
+ Equity) |
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Calculated: Debt +
Equity |
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Portfolio Return (Mean) |
10.0% |
% |
Expected annual
return |
-0.5 |
0.6 |
Normal distribution
applied |
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Portfolio Volatility |
15.0% |
% |
Annualized std
deviation |
0.05 |
0.4 |
Measures portfolio
risk |
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Risk-Free Rate |
4.0% |
% |
Benchmark risk-free
rate |
0.01 |
0.08 |
US Treasury rate
proxy |
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SCENARIO PROBABILITY WEIGHTS |
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Scenario |
Probability |
Rev Growth Adj |
COGS Adj |
OpEx Adj |
Description |
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Bull Case |
20.0% |
4.0% |
-3.0% |
-1.0% |
Strong growth, cost efficiency |
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Base Case |
50.0% |
0.0% |
0.0% |
0.0% |
Expected outcome |
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Bear Case |
20.0% |
-5.0% |
4.0% |
2.0% |
Recession / headwinds |
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Stress Case |
10.0% |
-12.0% |
8.0% |
5.0% |
Severe downturn / crisis |
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Total Probability |
100.0% |
✓ Valid |
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NOTES |
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• Blue values are user
inputs — modify these to customize the simulation |
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• Black values are
calculated formulas — do not manually edit |
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• All sample data is
illustrative — replace with actual company data for analysis |
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• Correlation matrix
values significantly impact simulation outcomes — calibrate carefully |
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