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MONTE CARLO ANALYSIS 
OT CASHFLOWS 
ABSTRACT 
This pedagogical project constructs a multi-iteration Monte Carlo 
model (with Oracle Crystal Ball) purposed to value the Oyu Tolgoi, 
LLC Copper and Gold mineral production. The analyst pursued a 
novel approach, using neither constant mineral pricing, nor step 
increments in mineral pricing. Rather, the analyst created the 
simulation to follow fifty to sixty-year historic patterns of inflation 
and individual mineral’s price volatility (Compound Annual Growth 
Rates: CAGR) to project future volatility (modeling inflation within 
the future mineral’s pricing structure). The analyst prefers this 
approach because inflation occurs in the real world. 
The Simulation produces: 1) projected aggregate (over prospective 30- 
35 years) cash-flow; 2) DCF NPV projections; and finally 3) 
appraises the overall Oyu Tolgoi Project and apportions estimates 
for the principal shareholders: Erdenes MGL LLC, Rio Tinto (through 
its holdings in TRQ), and Turquoise Hill (TRQ excluding Rio Tinto). 
The model clearly shows that the Government of Mongolia is highly 
favored by this investment scheme. The projections suggest GoM 
will secure over 73% of the projected CashFlows, inclusive of 
Royalties, Customs charges, Taxes, and FCFE.
What is the Monte Carlo 
method? 
 Developed by physicists in 
the early 20th century to 
account for complex 
interactions in quantum 
uncertainty; 
 Randomly fluctuates underlying 
parameters; 
 The analysis constrains the 
underlying parameters by some 
reasonable and justifiable 
measure (distribution parameters 
or strange attractors). 
By the 1960’s 
economists and 
financial engineers 
had adopted the 
Monte Carlo method. 
 Merton Black Scholes 
options pricing model, for 
instance, predicts security 
price using a continuous 
lognormal distribution based 
upon Brownian Motion with 
Drift (a Monte Carlo random 
fluctuation, constrained to the 
curve parameters). 
MONTE CARLO ANALYSIS
Uncertainty 
surrounds 
potential 
outcomes 
 Inflation rate; 
 Securities prices; 
 Commodities prices; 
 Energy prices; 
 Machine downtime; 
 Productivity; 
 Maintenance time; 
 Etc. 
Monte Carlo forces 
the analyst to 
study variables 
and isolate 
patterns (if any) to 
project a 
continuum of 
potential 
influence. 
 Often based upon 
historical data; 
 Tuned to the analyst’s 
knowledge of current 
news, and the behaviors of 
the market, the group, etc. 
BENEFITS OF MONTE CARLO 
FOR FINANCE
BENEFITS OF MONTE CARLO 
FOR FINANCE 
Monte Carlo produces a probable range of 
outcome; 
Some consider this superior to the traditional weighted 
average calculation of: Best Case; Likely Case; Worst 
Case scenario modeling. 
Certainly, the model requires: 
Excellent hard data from which to draw patterns; 
 Skill and acumen in analysis; 
Fine-tuning to correct for changes in trends and market 
behaviors; 
Careful interpretation of the model projections.
MONTE CARLO 
STUDY OF COPPER AND GOLD PRICES 
This analysis draws historical price data for the 
major mineral commodities OT produces: 
namely Cu and Au; 
 Price data is readily available online from a host of sources: 
World Bank, various universities, trade firms, etc. 
This analysis isolates statistical trends (if any) 
among the price data; 
 The analyst focused on percent change in price over various 
intervals: moving year; 5-year; 10-year; 20-year; and 40-year; 
 Draw basic statistics references: means, deviations, and curve shape. 
 Oracle Crystal Ball software includes functions to isolate the particular 
curve shape parameters based upon data input. 
Perform an honest check for correlation; 
 The analyst looked for correlation to a metric of inflation, in 
this case, the US CPI.
Historical Statistics 
Cu, Au and US CPI
Historical Statistics 
Cu, Au and USCPI
Historical Statistics 
Cu, Au and USCPI
MONTE CARLO 
STUDY OF COPPER AND GOLD PRICES 
Historical Data (1952-2013) show high 
correlation between the following 
United States CPI and Cu Price r-Value: 0.78628 
United States CPI and Au Price r-Value: 0.80976 
CAGR US CPI and CAGR Au r-Value: 0.89198 (all years 
from 1955 to 2013) 
Correlation analysis compelled the analyst to 
produce a regression equation.
Historical Statistics 
Gold and US CPI
Historical Statistics 
Smoothing the Curves with Log10
MONTE CARLO 
STUDY OF COPPER AND GOLD PRICES 
The correlation and plots of the changes in price of the 
data suggest the following pattern: 
 The mean (arithmetic average) of US CPI 40-year CAGR equals 
4.477% (Accounting for all years from 1952-2013) 
 One ought to temper this view of US inflation to include the 1970’s rise of OPEC as 
a factor in world economy. By the late 1970’s, this contributed to a drastic rise to 
US inflation; and many economists would argue that long-term US inflation is more 
on the order of 3.00% to 3.50%. 
 The mean (arithmetic average) of Cu $/lb 40-year CAGR equals 
3.303% (Nominal basis and Accounting for all years from 1952-2013) 
 In the recent past, nominal price of copper rose approximately 1.1% less than US 
CPI. 
 Fiber optic cable (reduced demand for copper in telephony) 
 Recycled copper (mainly telephony and construction) produce a secondary source of supply. 
 The mean (arithmetic average) Au $/oz 40-year CAGR equals 6.725% 
(Nominal basis and Accounting for all years from 1952-2013) 
 In the recent past, nominal price of gold rose approximately 2.25% higher than US 
CPI. 
 After revisions to the Bretton Woods accord, particularly after 1971, gold price corrected 
itself away from a forced parity relationship to USD to reflect a price more in tune with true 
supply and demand for gold to satisfy industrial use and requirements.
MONTE CARLO 
STUDY OF COPPER AND GOLD PRICES 
Problems with the correlation and parameters: 
The parameters are based upon past data. 
 A range of political entities and economic situations influenced the 
unfolding of this past data. The future prices may unfold according 
to different parameters. 
 Future technology (influencing supply and demand), future 
consumption (demand), and future production (supply) may unfold 
differently than in the past 60 years, nullifying any implied or 
observed correlation. 
 Etc. 
Solution to these problems? 
Temper the parameters by applying current knowledge 
and trends to improve the model.
COPPER MACROECONOMICS 
1970’s-Present, telephony 
created drastic changes 
to Copper Supply and 
Demand. 
 These forces may be primarily 
responsible for the decrease in 
real (inflation-adjusted) copper 
price. 
Hybrid Electric Vehicles 
and Plug-in Hybrid 
Electric Vehicles are 
again forcing a shift in 
Copper Demand 
 Electric vehicles use wound 
copper in the motor for the 
electro-magnet.
COPPER MACROECONOMICS 
J.D. Power expects the 
compounded annual growth 
rate for global HEV sales 
between 2010 and 2020 to be 
13.8%. Still, despite the 
expected rapid growth rate, 
sales are projected to be just 
3.88 million units in 2020, or 
only 5.5% of the 70.9 million 
passenger vehicles to be sold 
by that year. 
The United States is forecasted to 
account for 53% of the global 
HEV total, followed by Japan 
(20%) and Europe (16%), while 
the remaining 11% will be 
spread among all other 
countries. 
(http://www.jdpower.com/sites/defa 
ult/files/2010_WhitePaper_DriveGre 
en2020.pdf)
APPLYING THE MONTE CARLO MODEL 
FOR OT 
Create a cashflow 
budget 
projection; 
 Isolate the OT project 
parameters for 
prospective annual 
production, costs, 
taxes, and so forth; 
 Assure that the coding 
for the budget allows 
that revenue and costs 
drivers pull parameters 
from a variable field for 
dynamic calculation.
OT Production Projection 
See "Oyu Tolgoi Project, Mongolia Integrated Development Plan" (August 2005), p. 32 and "2013 
OYU TOLGOI TECHNICAL REPORT TURQUOISE HILL RESOURCES LTD." (March 2013), p. 54.
APPLYING THE MONTE CARLO MODEL 
FOR OT 
Run the Monte Carlo 
model, randomly 
fluctuating the 
underlying 
parameters; 
 This model runs 
approximately 250,000 
iterations among each of 
several hundred 
variables. 
Collect the results 
and analyze the 
projections.
WHAT THE MODEL SHOWS FOR OT 
Analysis of the existing 
Royalties and 
Taxation regime: 
 GoM assesses a 5% on 
Royalties directly out of the 
mineral sales; 
 GoM assesses a 5% 
Customs duty on Revenue 
(less CoGs) minus Treatment 
and Refining charges; 
 GoM assesses a 25% tax on 
EBT, following GAAP; 
 GoM assesses a 10% Value- 
Added Tax on EBT; 
 GoM assesses a 20% With-holding 
tax on EBT.
CONTINGENCIES AND OPEN ITEMS 
Oyu Tolgoi has not 
completed 
financing for the 
lucrative 
underground sector 
of the mine: 
 Estimate of debt 
placement of $5 Billion or 
higher 
 Add a debt service allocation 
to the Cash Flow 
Projections; 
 Amend all cash-flows to the 
stakeholders; 
 Lower the weighted average 
cost of capital; thereby 
boosting the DCF valuation 
 These graphics reflect a high 
WACC of 12.913%, estimated 
solely upon equity. The debt 
component will reduce the 
WACC overall.
This analysis is 
incomplete 
 After GoM and OT confirm 
the debt placement and the 
cost of debt, the analyst will 
complete a more thorough 
analysis of Aggregate 
CashFlow and Discounted 
Cash Flow (NPV); 
 Five years of hard production 
data will produce a greater 
confidence in the predictive 
power of the Monte Carlo 
analysis 
The analyst is anxious 
(along with all 
stakeholders) for 
Mongolia’s prosperity 
and productivity – 
within all economic 
sectors. 
FINE-TUNING THE MODEL

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Monte Carlo Analysis of Oyu Tolgoi CashFlows

  • 1.
  • 2. MONTE CARLO ANALYSIS OT CASHFLOWS ABSTRACT This pedagogical project constructs a multi-iteration Monte Carlo model (with Oracle Crystal Ball) purposed to value the Oyu Tolgoi, LLC Copper and Gold mineral production. The analyst pursued a novel approach, using neither constant mineral pricing, nor step increments in mineral pricing. Rather, the analyst created the simulation to follow fifty to sixty-year historic patterns of inflation and individual mineral’s price volatility (Compound Annual Growth Rates: CAGR) to project future volatility (modeling inflation within the future mineral’s pricing structure). The analyst prefers this approach because inflation occurs in the real world. The Simulation produces: 1) projected aggregate (over prospective 30- 35 years) cash-flow; 2) DCF NPV projections; and finally 3) appraises the overall Oyu Tolgoi Project and apportions estimates for the principal shareholders: Erdenes MGL LLC, Rio Tinto (through its holdings in TRQ), and Turquoise Hill (TRQ excluding Rio Tinto). The model clearly shows that the Government of Mongolia is highly favored by this investment scheme. The projections suggest GoM will secure over 73% of the projected CashFlows, inclusive of Royalties, Customs charges, Taxes, and FCFE.
  • 3. What is the Monte Carlo method?  Developed by physicists in the early 20th century to account for complex interactions in quantum uncertainty;  Randomly fluctuates underlying parameters;  The analysis constrains the underlying parameters by some reasonable and justifiable measure (distribution parameters or strange attractors). By the 1960’s economists and financial engineers had adopted the Monte Carlo method.  Merton Black Scholes options pricing model, for instance, predicts security price using a continuous lognormal distribution based upon Brownian Motion with Drift (a Monte Carlo random fluctuation, constrained to the curve parameters). MONTE CARLO ANALYSIS
  • 4. Uncertainty surrounds potential outcomes  Inflation rate;  Securities prices;  Commodities prices;  Energy prices;  Machine downtime;  Productivity;  Maintenance time;  Etc. Monte Carlo forces the analyst to study variables and isolate patterns (if any) to project a continuum of potential influence.  Often based upon historical data;  Tuned to the analyst’s knowledge of current news, and the behaviors of the market, the group, etc. BENEFITS OF MONTE CARLO FOR FINANCE
  • 5. BENEFITS OF MONTE CARLO FOR FINANCE Monte Carlo produces a probable range of outcome; Some consider this superior to the traditional weighted average calculation of: Best Case; Likely Case; Worst Case scenario modeling. Certainly, the model requires: Excellent hard data from which to draw patterns;  Skill and acumen in analysis; Fine-tuning to correct for changes in trends and market behaviors; Careful interpretation of the model projections.
  • 6. MONTE CARLO STUDY OF COPPER AND GOLD PRICES This analysis draws historical price data for the major mineral commodities OT produces: namely Cu and Au;  Price data is readily available online from a host of sources: World Bank, various universities, trade firms, etc. This analysis isolates statistical trends (if any) among the price data;  The analyst focused on percent change in price over various intervals: moving year; 5-year; 10-year; 20-year; and 40-year;  Draw basic statistics references: means, deviations, and curve shape.  Oracle Crystal Ball software includes functions to isolate the particular curve shape parameters based upon data input. Perform an honest check for correlation;  The analyst looked for correlation to a metric of inflation, in this case, the US CPI.
  • 10. MONTE CARLO STUDY OF COPPER AND GOLD PRICES Historical Data (1952-2013) show high correlation between the following United States CPI and Cu Price r-Value: 0.78628 United States CPI and Au Price r-Value: 0.80976 CAGR US CPI and CAGR Au r-Value: 0.89198 (all years from 1955 to 2013) Correlation analysis compelled the analyst to produce a regression equation.
  • 12. Historical Statistics Smoothing the Curves with Log10
  • 13. MONTE CARLO STUDY OF COPPER AND GOLD PRICES The correlation and plots of the changes in price of the data suggest the following pattern:  The mean (arithmetic average) of US CPI 40-year CAGR equals 4.477% (Accounting for all years from 1952-2013)  One ought to temper this view of US inflation to include the 1970’s rise of OPEC as a factor in world economy. By the late 1970’s, this contributed to a drastic rise to US inflation; and many economists would argue that long-term US inflation is more on the order of 3.00% to 3.50%.  The mean (arithmetic average) of Cu $/lb 40-year CAGR equals 3.303% (Nominal basis and Accounting for all years from 1952-2013)  In the recent past, nominal price of copper rose approximately 1.1% less than US CPI.  Fiber optic cable (reduced demand for copper in telephony)  Recycled copper (mainly telephony and construction) produce a secondary source of supply.  The mean (arithmetic average) Au $/oz 40-year CAGR equals 6.725% (Nominal basis and Accounting for all years from 1952-2013)  In the recent past, nominal price of gold rose approximately 2.25% higher than US CPI.  After revisions to the Bretton Woods accord, particularly after 1971, gold price corrected itself away from a forced parity relationship to USD to reflect a price more in tune with true supply and demand for gold to satisfy industrial use and requirements.
  • 14. MONTE CARLO STUDY OF COPPER AND GOLD PRICES Problems with the correlation and parameters: The parameters are based upon past data.  A range of political entities and economic situations influenced the unfolding of this past data. The future prices may unfold according to different parameters.  Future technology (influencing supply and demand), future consumption (demand), and future production (supply) may unfold differently than in the past 60 years, nullifying any implied or observed correlation.  Etc. Solution to these problems? Temper the parameters by applying current knowledge and trends to improve the model.
  • 15. COPPER MACROECONOMICS 1970’s-Present, telephony created drastic changes to Copper Supply and Demand.  These forces may be primarily responsible for the decrease in real (inflation-adjusted) copper price. Hybrid Electric Vehicles and Plug-in Hybrid Electric Vehicles are again forcing a shift in Copper Demand  Electric vehicles use wound copper in the motor for the electro-magnet.
  • 16. COPPER MACROECONOMICS J.D. Power expects the compounded annual growth rate for global HEV sales between 2010 and 2020 to be 13.8%. Still, despite the expected rapid growth rate, sales are projected to be just 3.88 million units in 2020, or only 5.5% of the 70.9 million passenger vehicles to be sold by that year. The United States is forecasted to account for 53% of the global HEV total, followed by Japan (20%) and Europe (16%), while the remaining 11% will be spread among all other countries. (http://www.jdpower.com/sites/defa ult/files/2010_WhitePaper_DriveGre en2020.pdf)
  • 17. APPLYING THE MONTE CARLO MODEL FOR OT Create a cashflow budget projection;  Isolate the OT project parameters for prospective annual production, costs, taxes, and so forth;  Assure that the coding for the budget allows that revenue and costs drivers pull parameters from a variable field for dynamic calculation.
  • 18. OT Production Projection See "Oyu Tolgoi Project, Mongolia Integrated Development Plan" (August 2005), p. 32 and "2013 OYU TOLGOI TECHNICAL REPORT TURQUOISE HILL RESOURCES LTD." (March 2013), p. 54.
  • 19. APPLYING THE MONTE CARLO MODEL FOR OT Run the Monte Carlo model, randomly fluctuating the underlying parameters;  This model runs approximately 250,000 iterations among each of several hundred variables. Collect the results and analyze the projections.
  • 20. WHAT THE MODEL SHOWS FOR OT Analysis of the existing Royalties and Taxation regime:  GoM assesses a 5% on Royalties directly out of the mineral sales;  GoM assesses a 5% Customs duty on Revenue (less CoGs) minus Treatment and Refining charges;  GoM assesses a 25% tax on EBT, following GAAP;  GoM assesses a 10% Value- Added Tax on EBT;  GoM assesses a 20% With-holding tax on EBT.
  • 21. CONTINGENCIES AND OPEN ITEMS Oyu Tolgoi has not completed financing for the lucrative underground sector of the mine:  Estimate of debt placement of $5 Billion or higher  Add a debt service allocation to the Cash Flow Projections;  Amend all cash-flows to the stakeholders;  Lower the weighted average cost of capital; thereby boosting the DCF valuation  These graphics reflect a high WACC of 12.913%, estimated solely upon equity. The debt component will reduce the WACC overall.
  • 22. This analysis is incomplete  After GoM and OT confirm the debt placement and the cost of debt, the analyst will complete a more thorough analysis of Aggregate CashFlow and Discounted Cash Flow (NPV);  Five years of hard production data will produce a greater confidence in the predictive power of the Monte Carlo analysis The analyst is anxious (along with all stakeholders) for Mongolia’s prosperity and productivity – within all economic sectors. FINE-TUNING THE MODEL