Navigating Unpredictable Waters: Negotiating the Joint Venture Waterfall

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Navigating Unpredictable Waters: Negotiating the Joint Venture Waterfall A More Scientific Look at Joint Venture Terms Between Institutional Money Partners and Managing Partners in Real Estate Development David Geltner MIT Center for Real Estate Prepared For ULI Annual Meeting San Francisco October 7, 2015 Leveraging Science, Developing Innovation

Example Project: Typical mid-scale mixed-use (condo/office/retail) development Residential Residential Residential Residential Office Office Office Office Office Retail Retail Office Parking Parking Development Program: Gross SF Net SF Residential 115,000 100,000 Office 172,500 150,000 Retail 34,500 30,000 Total development budget: $104.0 M ($371/NSF) Mini-Perm Loan (80% of Hard Cost) @ 6%: $ 62.0 M ($222/NSF) Revenue projection assumptions: Residential Condominium Sales Prices & Sell-out Total 322,000 280,000 Unit Sales Prices PSF - Pre-Sales $525 Unit Sales Prices PSF - Remaining Units $550 Pre-Sale % 20% Unit Sale % - Year 1 40% Unit Sale % - Year 2 40% Unit Sale % - Year 3 0% Commercial Space Rental Rates & Lease-up Office Space $33.00 Retail Space $42.00 Pre-Lease % 20% Lease-up % - Year 1 40% Lease-up % - Year 2 40% Lease-up % - Year 3 0% Disposition Assumption (Yr 6): Capitalization Rate to Estimate Sale Price 7% 2

Project Base Case Cash Flow Projections (JV entity level): Net Cash Flow ($000,000s) 90 70 50 30 10 (10) (30) (50) (70) (90) (110) Unlevered IRR = 11.6% Unlevered IRR = 11.2% Yr 0 Yr 1 Yr 2 Yr 3 Yr 4 Yr 5 Yr 6 Condos Commercial Reflects: Condos: 16.4% Commercial: 10.0% Net Cash Flow ($000,000s) 90 70 50 30 10 (10) (30) (50) (70) (90) (110) Levered IRR = 18.3% Levered IRR = 18.0% Yr 0 Yr 1 Yr 2 Yr 3 Yr 4 Yr 5 Yr 6 Condos Commercial Reflects: Condos: 29.6% Commercial: 15.0% Overall going-in IRRs: 11.2% unlevered, 18.0% as levered by mini-perm loan. 3

JV Partnership Agreement ( waterfall ): Two partners: Manager (developer), & Money Partner Capital contributions split 90/10 Money/Dvlpr; Pro Rata Pari Passu to 1 st hurdle at 10%, then 80/20, except: Development cost overruns (& savings) split 50/50 (with catch-up after Money meets 1 st hurdle); Subsequent hurdles (for Money Partner) at 13% & 15% with cash flow splits thereafter 70/30 & 60/40 Condo sales revenue treated as capital proceeds. Return Hurdles & Cash Flow Distributions 1st Hurdle 2nd Hurdle 3rd Hurdle Pref. for Investor Investor Both to Member to Member to 10.0% 13.0% 15.0% Thereafter 90.0% 80.0% 70.0% 60.0% 10.0% 20.0% 30.0% 40.0% 4

Equity JV Waterfall, Return of & on Capital Contribution 90% Money/10% Dvlpr: Operating Cash Flows: Return On Capital Cash Flows: Return Of & On Money pari passu 60% share 15% Return Money pari passu 70% share 13% Return 10% Return Money pari passu 80% share Money pro rata pari passu 90% share Dvlpr pari passu 40% share Dvlpr pari passu 30% share Dvlpr pari passu 20% share Dvlpr pro rata pari passu 10% share Cash flow order Cash flow order Money pari passu 60% share Money pari passu 70% share Money pari passu 80% share Money pro rata pari passu 90% share Dvlpr pari passu 40% share Dvlpr pari passu 30% share Dvlpr pari passu 20% share Dvlpr pro rata pari passu 10% share 15% Return 13% Return 10% Return And: Dvlpr/Money 50/50 on construction cost overrun/savings

JV Partnership Agreement ( waterfall ): Base Case Cash Flow & Return Projections Net Cash Flow ($000,000s) 40 20 0 (20) (40) Manager Partner, Money Partner, Base Case Net Cash Flows Yr 0 Yr 1 Yr 2 Yr 3 Yr 4 Yr 5 Yr 6 Manager Money Overall going-in IRRs: 28.7% Manager, 16.8% Money Partner. Is this fair?... 6

Overall going-in IRRs: 28.7% Manager, 16.8% Money Partner. Is this fair?... Academic Perspective: Use basic capital market theory to provide a normative framework & starting point to answer this question Price Market: Supply Market Price Demand Equilibrium Quantity Quantity Traded The Market Price provides the opportunity cost of trading. 7

What is the Capital Market?... Fundamentally, the capital market is a market that trades risk in investment assets. Thus, the capital market determines the market price of risk in terms of the going-in expected return risk premium (over riskless investment returns) per unit of investment risk (as the capital market perceives and cares about such risk). This provides the opportunity cost of capital (OCC) for any investment or claim (what the investor could expect to earn from alternative investments of similar risk). Expected Return Asset Market: SML RP Riskfree Rate Risk 8

The capital market determines the price of risk as the slope of the Security Market Line (SML), the expected return risk premium per unit of risk in any given investment priced at market value (mkt RP/Risk): Expected Return Asset Market: SML Security Market Line Risk Premium (RP) Riskfree Rate Risk 9

Any asset or claim priced at fair market value (providing a fair expected return given the amount of investment risk in the asset) must lie on the SML, i.e., must have the same RP/Risk ratio (the mkt price of risk) Expected Return Asset Market: SML Security Market Line RP(B) RP(A) Riskfree Rate 0 Risk(A) Risk(B) Risk For any two claims (A, B), the ratio of the going-in expected return risk premia (RP) must equal the ratio of the going-in expected risks: RP(A)/RP(B) = Risk(A)/Risk(B). 10

If the devlpt project is priced at fair market value, then it will lie on thesml. If the debt is priced at fair market value, then it too will lie on the SML. If both the above, then the levered equity JV entity will lie on the SML. In that case, both partners claims must have the same RP/Risk ratio in order for them both to lie on the SML Expected Return Loan Asset Market: Project Levered Equity JV SML RP(JV) Riskfree Rate RP(Dbt) RP(Proj) Risk(Dbt) Risk(Proj) Risk(JV) Risk 11

The RP/Risk ratio of a claim is labeled its Treynor Ratio. If the levered JV entity lies on the SML (fair market value), then the Treynor Ratios of each partner s claim should be equal. Otherwise the one with the lower Treynor Ratio will lie below the SML and not be receiving a fair expected return for the amount of investment risk born. Expected Return Asset Market: Claim Claim SML Riskfree Rate RP(Money) RP(Mgr) Risk(Mon) Risk(Mgr) Risk 12

The RP/Risk ratio of a claim is labeled its Treynor Ratio. If the levered JV entity lies on the SML (fair market value), then the Treynor Ratios of each partner s claim should be equal. Otherwise the one with the lower Treynor Ratio will lie below the SML and not be receiving a fair expected return for the amount of investment risk born. Expected Return Treynor Ratio is slope of dashed line RP(B)/ Risk(B) SML Riskfree Rate RP(A)/ Risk(A) RP(PtnrA) RP(PtnrB) Risk(PtnrA) Risk(PtnrB) Risk Here, Partner B is not getting a fair return (ex ante). 13

How to measure the Risk faced by each partner?... We only need to measure the relative risk (the ratio of the two risks). A simple way to do this is by Scenario Analysis. The simplest form of scenario analysis is Binomial : Construct an upside ( Optimistic ) scenario above the Base Case, and A downside ( Pessimistic ) scenario below the Base Case (The scenarios should have IRRs approximately symmetric around the Base Case IRR, at the underlying unlevered project level. Each scenario should have about a 10% chance of happening meaning, subjectively, about 1 in 10 chance result could turn out to be that extreme or more so in that direction.) Define the expected return as the Base Case IRR Define the risk (for relative or ratio purposes) as the range between the Optimistic minus the Pessimistic IRRs Do this for each partner. Then Each partner s Treynor Ratio is their RP/Risk*: (Expected IRR Riskfree Rate) / (Outcome IRR Range). *Note: In real estate applications Treynor Ratio in this context will be same as Sharpe Ratio, but in principle it is the Treynor Ratio we re using because it measures risk as market price of risk. 14

Let s apply this framework to our Example Project & JV. Recall Net Cash Flow ($000,000s) 40 20 0 (20) (40) Manager Partner, Money Partner, Base Case Net Cash Flows Yr 0 Yr 1 Yr 2 Yr 3 Yr 4 Yr 5 Yr 6 Manager Money Overall going-in IRRs: 28.7% Manager, 16.8% Money Partner. Is this fair?... 15

Optimistic Scenario: Defined as Base Case altered as follows (for example): 25% Higher initial revenue projections (sale prices, rents, per SF), and 2% per year faster growth trend in those revenues over time. Pessimistic Scenario: Defined as Base Case altered as follows (for example): 25% Lower initial revenue projections (sale prices, rents, per SF), and 2% per year slower growth trend in those revenues over time. 5% development cost overrun (50/50 contribution). These scenarios result in projected IRRs near the 10 th & 90 th percentiles of the IRR outcome probability distribution based on empirically calibrated modeling of typical real estate risk (volatility, trends, cycles, noise), based on analysis of Real Capital Analytics (MIT/CRE Partner Company) data. 16

Pessimistic Scenario: Net Cash Flow ($000,000s) 40 20 0 (20) (40) Manager Partner, Money Partner, Pessimistic Scenario Net Cash Flows Yr 0 Yr 1 Yr 2 Yr 3 Yr 4 Yr 5 Yr 6 Manager Money Ex post realized levered IRRs: -1.0% Manager, -0.4% Money Partner. Underlying project (unlevered) realized IRR = 2.6% (8.6 pts below Base Case) 17

Optimistic Scenario: Net Cash Flow ($000,000s) 40 20 0 (20) (40) Manager Partner, Money Partner, Optimistic Scenario Net Cash Flows Yr 0 Yr 1 Yr 2 Yr 3 Yr 4 Yr 5 Yr 6 Manager Money Ex post realized levered IRRs: 54.8% Manager, 27.7% Money Partner. Underlying project (unlevered) realized IRR = 19.8% (8.6 pts above Base Case) 18

Computing the fairness metric Developer: Expected IRR 28.7% Optimistic IRR 54.8% Pessimistic IRR -1.0% Money Ptnr: Expected IRR 16.8% Optimistic IRR 27.7% Pessimistic IRR -0.4% Riskfree Rate: 1.0% Treynor Ratio RP/Risk: 28.7% 1.0% 54.8% (-1.0%) 16.8% 1.0% 27.7% (-0.4%) = 0.50 EQUAL? = 0.56 Manager Partner & Money Partner have pretty similar Treynor Ratios, thus implying fair JV claim terms per the capital market Opportunity Cost of Capital (in this example) 19

Manager Partner & Money Partner have very similar Treynor Ratios*, thus implying fair JV claim terms per the capital market OCC (in this example) Claim Base Case IRR T- bond IRR Risk Prem Opt Scen Pes Scen Range Comp Treynor Ratio Mgr 28.7% 1.0% 27.7% 54.8% -1.0% 55.8% 27.7 /55.8 Money 16.8% 1.0% 15.8% 27.7% -0.4% 28.1% 15.8 /28.1 0.50 0.56 Expected Return Asset Market: Claim Claim SML RP(Mgr) Riskfree Rate RP(Money) Risk(Mon) Risk(Mgr) Risk 20

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Money Partner / Investor Member

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Money Partner / Investor Member

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Condos Money Partner / Investor Member

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Condos Apartment Money Partner / Investor Member

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Condos Apartment Office Money Partner / Investor Member

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Condos Apartment Office Industrial Money Partner / Investor Member

2.00 Treynor Ratios: Real World Results 1.80 1.60 1.40 1.20 Developer / Manager / Sponsor 1.00 0.80 0.60 0.40 0.20 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 Hypothetical Mixed Use Condos Apartment Office Industrial Money Partner / Investor Member

3.00 Treynor Ratios: Real World Results 2.50 2.00 where risk in the denominator = the downside (pessimistic) deviation only Developer / Manager / Sponsor 1.50 1.00 0.50 0.50 1.00 1.50 2.00 2.50 3.00 Hypothetical Mixed Use Condos Apartment Office Industrial Money Partner / Investor Member

Approximately equal Treynor Ratios Expected Return 28.7% Asset Market: SML 16.8% 1.0% RP(Money) RP(Mgr) Risk(Mon) ± 28.1% Risk(Mgr) ± 55.8% Risk Fair JV cash flow splits arrangement. 21

More sophisticated and in-depth analysis can be done with Monte Carlo simulation, modeling entire probability distribution of outcome IRRs 800 700 Mgr & Money Ptnrs Histogram Ex Post IRRs Histogram (frequency) Frequency (out of 2000) 600 500 400 300 200 100 Cumulative probability over IRR achieved 0-74% -54% -34% -13% 7% 27% 48% 68% 88% 109% 129% 100% 90% 80% 70% Cumulative Distn Fcn: ex post IRRs (across simulation runs) How can we do this?... Probability 60% 50% 40% 30% 20% 10% 0% -100% -50% 0% 50% 100% 150% IRR Money Ptnr IRR Distn Money Ptnr E[IRR] Mgr Ptnr IRR Distn Mgr Ptnr E[IRR] 22

Empirical data (e.g., RCA) now enables us to rigorously simulate the behavior of real estate asset prices over time. 4.0 Random simulation of 10 properties around market: Annual Frequency; Mkt=Moody's/REAL CPPI =1.0 at 4Q00; Property Buy(4Q00) & Sell(2Q10) with Random Price Dispersion Normal Distn Actual Resids Price Intercept StdDev; Property Idiosyncratic Drift Random Walk 3.5 3.0 2.5 2.0 1.5 1.0 0.5 Mkt(CPPI) Prop#1 Prop#2 Prop#3 Prop#4 Prop#5 Prop#6 Prop#7 Prop#8 Prop#9 Prop#10 0.0 Dec-00 Nov-01 Nov-02 Nov-03 Nov-04 Nov-05 Nov-06 Nov-07 Nov-08 Nov-09 Replace unknown unknowns with known unknowns, replace uncertainty with risk 23 Geltner MIT/CRE

Empirical data (e.g., RCA) now enables us to rigorously simulate the behavior of real estate asset prices over time. 4.0 Random simulation of 10 properties around market: Annual Frequency; Mkt=Moody's/REAL CPPI =1.0 at 4Q00; Property Buy(4Q00) & Sell(2Q10) with Random Price Dispersion Normal Distn Actual Resids Price Intercept StdDev; Property Idiosyncratic Drift Random Walk 3.5 3.0 2.5 2.0 1.5 1.0 0.5 Mkt(CPPI) Prop#1 Prop#2 Prop#3 Prop#4 Prop#5 Prop#6 Prop#7 Prop#8 Prop#9 Prop#10 0.0 Dec-00 Nov-01 Nov-02 Nov-03 Nov-04 Nov-05 Nov-06 Nov-07 Nov-08 Nov-09 Replace unknown unknowns with known unknowns, replace uncertainty with risk 24 Geltner MIT/CRE

Empirical data (e.g., RCA) now enables us to rigorously simulate the behavior of real estate asset prices over time. 4.0 Random simulation of 10 properties around market: Annual Frequency; Mkt=Moody's/REAL CPPI =1.0 at 4Q00; Property Buy(4Q00) & Sell(2Q10) with Random Price Dispersion Normal Distn Actual Resids Price Intercept StdDev; Property Idiosyncratic Drift Random Walk 3.5 3.0 2.5 2.0 1.5 1.0 0.5 Mkt(CPPI) Prop#1 Prop#2 Prop#3 Prop#4 Prop#5 Prop#6 Prop#7 Prop#8 Prop#9 Prop#10 0.0 Dec-00 Nov-01 Nov-02 Nov-03 Nov-04 Nov-05 Nov-06 Nov-07 Nov-08 Nov-09 Replace unknown unknowns with known unknowns, replace uncertainty with risk 25 Geltner MIT/CRE

Empirical data (e.g., RCA) now enables us to rigorously simulate the behavior of real estate asset prices over time. 4.0 Random simulation of 10 properties around market: Annual Frequency; Mkt=Moody's/REAL CPPI =1.0 at 4Q00; Property Buy(4Q00) & Sell(2Q10) with Random Price Dispersion Normal Distn Actual Resids Price Intercept StdDev; Property Idiosyncratic Drift Random Walk 3.5 3.0 2.5 2.0 1.5 1.0 0.5 Mkt(CPPI) Prop#1 Prop#2 Prop#3 Prop#4 Prop#5 Prop#6 Prop#7 Prop#8 Prop#9 Prop#10 0.0 Dec-00 Nov-01 Nov-02 Nov-03 Nov-04 Nov-05 Nov-06 Nov-07 Nov-08 Nov-09 Replace unknown unknowns with known unknowns, replace uncertainty with risk 26 Geltner MIT/CRE

Empirical data (e.g., RCA) now enables us to rigorously simulate the behavior of real estate asset prices over time. 4.0 Random simulation of 10 properties around market: Annual Frequency; Mkt=Moody's/REAL CPPI =1.0 at 4Q00; Property Buy(4Q00) & Sell(2Q10) with Random Price Dispersion Normal Distn Actual Resids Price Intercept StdDev; Property Idiosyncratic Drift Random Walk 3.5 3.0 2.5 2.0 1.5 1.0 0.5 Mkt(CPPI) Prop#1 Prop#2 Prop#3 Prop#4 Prop#5 Prop#6 Prop#7 Prop#8 Prop#9 Prop#10 0.0 Dec-00 Nov-01 Nov-02 Nov-03 Nov-04 Nov-05 Nov-06 Nov-07 Nov-08 Nov-09 Replace unknown unknowns with known unknowns, replace uncertainty with risk 27 Geltner MIT/CRE

Using this new quantitative knowledge about real estate price dynamics, we simulate the entire probability distribution of outcome IRRs for our development project JV 800 700 Mgr & Money Ptnrs Histogram Ex Post IRRs Histogram (frequency) Frequency (out of 2000) 600 500 400 300 200 100 Cumulative probability over IRR achieved 0-74% -54% -34% -13% 7% 27% 48% 68% 88% 109% 129% Cumulative Distn Fcn: ex post IRRs (across simulation runs) For example, this is the type of outcome probability distribution we get for the Mgr & Money partners IRRs under the given JV arrangement terms. You can graphically see the tails and shapes and the probabilities of various outcomes. Probability 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% -100% -50% 0% 50% 100% 150% IRR Money Ptnr IRR Distn Money Ptnr E[IRR] Mgr Ptnr IRR Distn Mgr Ptnr E[IRR] 28

We can relate the Monte Carlo analysis to the previously described capital market theory based Treynor Ratio analysis of JV terms fairness defining Mgr & Money Ptnrs Histogram Ex Post IRRs risk either by the standard 800 deviation of the IRR outcome 700 probability distribution, or by the 600 downside half-deviation. Frequency (out of 2000) 500 400 300 200 100 0-74% -54% -34% -13% 7% 27% 48% 68% 88% 109% 129% Based on the Monte Carlo simulation (entire probability distribution), the developer s Treynor Ratio appears a bit better than the Money partner s. The Money partner also faces a more negative skew and larger kurtosis (relatively fatter tails): Mgr not sharing enough upside with Money partner, or Money exposed to too much downside. Probability 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% Treynor Ratios: /StdDev /Downside Development Partner 0.96 1.32 Money Partner 0.84 0.99 Cumulative Distn Fcn: ex post IRRs (across simulation runs) 0% -100% -50% 0% 50% 100% 150% IRR Money Ptnr IRR Distn Mgr Ptnr IRR Distn Money Ptnr E[IRR] Mgr Ptnr E[IRR] 29

Exploring effect of changes in the JV terms Here only one hurdle, at Mgr & Money Ptnrs Histogram Ex Post IRRs 18%, then 80/20. 600 (Base Case was three hurdles at 500 10%, 13%, 15% and splits of 80/20, 400 70/30 & 60/40.) Frequency (out of 2000) 300 200 100 0-76% -59% -41% -23% -6% 12% 29% 47% 65% 82% 100% Here we ve substantially changed the hurdle & splits structure in favor of the Money Partner. ( Tight money environment.) This results in nearly equal Treynor Ratios for the two partners (Money still has a little worse downside) Probability 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% Treynor Ratios: /StdDev /Downside Development Partner 0.82 1.10 Money Partner 0.82 0.99 Cumulative Distn Fcn: ex post IRRs (across simulation runs) 0% -100% -80% -60% -40% -20% 0% 20% 40% 60% 80% 100% 120% IRR Money Ptnr IRR Distn Mgr Ptnr IRR Distn Money Ptnr E[IRR] Mgr Ptnr E[IRR] 30

Thus, the Monte Carlo analysis suggests (unlike the simple scenario analysis) that the originally proposed JV terms may not be giving a fair deal to the Money partner relative to the Developer, based on the capital market risk/return criterion. However, there could be several reasons justifying this: 1. Development fees don t fully cover developer s project mgt & overhead costs? 2. Project control & operational incentives considerations. 3. Developer sourced the project and may be allowing Money partner to come in at historical cost of land rather than higher current opportunity cost of land (what it would sell for as assembled & permitted). Point (3) would allow Money partner to face a fair market risk/return prospect even though a lower Treynor than Mgr 31

Based on historical land cost Here, Money partner receives fair expected return (>=SML) even though lower Treynor than Developer Expected Return Treynor Ratios are slopes of dashed lines SML Riskfree Rate RP(Money) RP(Mgr) Risk(Money) Risk(Mgr) Risk 32

Base Case terms: 10%, 13%, 15%; 90/10, 80/20, 70/30, 60/40; 50/50 cost overrun/savings: Mgr IRR - Money IRR 80% 70% 60% 50% 40% 30% 20% 10% 0% -10% Frequency (out of 2000) Scatterplot 2000 Trials: MgrIRR-MoneyIRR by Levered Entity IRR 800 700 600 500 400 300 200 100 Mgr & Money Ptnrs Histogram Ex Post IRRs 0-75% -58% -41% -23% -6% 11% 28% 45% 63% 80% 97% -20% -100% -80% -60% -40% -20% 0% 20% 40% 60% Treynor Ratios: /StdDev /Downside Development Partner 0.96 1.34 Money Partner 0.86 1.03 Levered Entity IRR 33

Base Case terms: 10%, 13%, 15%; 90/10, 80/20, 70/30, 60/40; 50/50 cost overrun/savings: Mgr IRR - Money IRR 80% 70% 60% 50% 40% 30% 20% 10% Scatterplot 2000 Trials: MgrIRR-MoneyIRR by Levered Entity IRR Project failure despite cost savings Project success possibly including cost savings 0% -10% Project failure with cost overrun -20% -100% -80% -60% -40% -20% 0% 20% 40% 60% Treynor Ratios: /StdDev /Downside Development Partner 0.96 1.34 Money Partner 0.86 1.03 Levered Entity IRR Project success despite big cost overrun 34

50/50 cost overrun/savings with one hurdle: pro rata to 18%, then 80/20: 60% 50% 40% Scatterplot 2000 Trials: MgrIRR-MoneyIRR by Levered Entity IRR Project success possibly including cost savings Mgr IRR - Money IRR 30% 20% 10% 0% Project failure despite cost savings -10% Project failure with cost overrun -20% -80% -60% -40% -20% 0% 20% 40% 60% 80% Treynor Ratios: /StdDev /Downside Development Partner 0.94 1.27 Money Partner 0.96 1.17 Levered Entity IRR Project success despite big cost overrun 35

50/50 cost overrun/savings with one hurdle: pro rata to 18%, then 80/20: 60% Scatterplot 2000 Trials: MgrIRR-MoneyIRR by Levered Entity IRR Mgr & Money Ptnrs Histogram Ex Post IRRs Mgr IRR - Money IRR 50% 40% 30% 20% 10% 0% -10% Frequency (out of 2000) 600 500 400 300 200 100 0-65% -49% -33% -17% 0% 16% 32% 48% 64% 81% 97% -20% -80% -60% -40% -20% 0% 20% 40% 60% 80% Treynor Ratios: /StdDev /Downside Development Partner 0.94 1.27 Money Partner 0.96 1.17 Levered Entity IRR 36

Pro Rata on Costs: 10%, 13%, 15%; 90/10, 80/20, 70/30, 60/40; 90/10 cost overrun/savings: Mgr IRR - Money IRR 40% 35% 30% 25% 20% 15% 10% 5% Frequency (out of 2000) Scatterplot 2000 Trials: MgrIRR-MoneyIRR by Levered Entity IRR 600 500 400 300 200 100 Mgr & Money Ptnrs Histogram Ex Post IRRs 0-61% -46% -32% -17% -3% 12% 26% 41% 56% 70% 85% 0% Money never beats Manager -5% -80% -60% -40% -20% 0% 20% 40% 60% 80% Treynor Ratios: /StdDev /Downside Development Partner 0.99 1.34 Money Partner 0.84 1.01 Levered Entity IRR 37

Pro Rata on Costs: 10%, 13%, 15%; 90/10, 80/20, 70/30, 60/40; 90/10 cost overrun/savings: 40% 35% 30% Scatterplot 2000 Trials: MgrIRR-MoneyIRR by Levered Entity IRR Mgr IRR - Money IRR 25% 20% 15% 10% 5% Project failure possibly including cost overruns (or perhaps savings) Project success possibly including cost savings (or overruns) 0% Money never beats Manager -5% -80% -60% -40% -20% 0% 20% 40% 60% 80% Treynor Ratios: /StdDev /Downside Development Partner 0.99 1.34 Money Partner 0.84 1.01 Levered Entity IRR 38