Methodology

Portfolio Planning

Two problems that standard tools cannot solve: How do you include alternatives properly in portfolio optimization? And how do you forecast private equity cash flows when market conditions change? We solved both.

Problem 1: No reliable return data for alternatives

Traditional portfolio optimization requires return time series. For public equities and bonds, these exist. For private equity, venture capital, and real estate funds, they do not. Reported NAVs are smoothed and lag reality. Listed PE indices cover only a fraction of the market.

The result: most SAA tools either exclude alternatives entirely, or include them as a single bucket with assumed returns and artificial correlations. Neither is acceptable for portfolios where alternatives represent 20-50% of assets.

Our approach: replicating portfolios

We construct synthetic return time series for each alternative asset class by building portfolios of liquid assets (Capital Gain Strips) that replicate the actual cash flow profile of illiquid funds. The methodology follows Gupta and Van Nieuwerburgh (2021, Journal of Finance).

For each of 10 alternative asset classes (Buyout Large, Mid, Small, Growth, VC Early, VC Late, Private Debt, Real Estate, Infrastructure, Secondaries) and each quarter, we identify the combination of public risk factors that best replicates the actual fund cash flows. The empirical basis: 5,000+ funds with 30+ years of net cash flow data .

The result: continuous, comparable return time series for every asset class, public and private. For the first time, we can compute real correlations between alternatives and traditional assets, not the artificial low correlations that come from smoothed NAV reporting.

Three dimensions, not two

Standard portfolio optimization uses two dimensions: return and risk (typically volatility). This works for liquid assets where you can exit at any time. For portfolios with significant alternative allocations, a third dimension is essential: liquidity .

Risk Measure

Expected Shortfall, not Volatility

Volatility understates tail risk. Expected Shortfall captures the average loss in the worst scenarios, which is more meaningful for illiquid assets where you cannot exit during drawdowns.

Liquidity Measure

Time-to-Break-Even

How long until a fund returns the invested capital? Ranges from ~8 years (Secondaries) to ~11 years (early-stage VC). This becomes an explicit constraint in the optimization.

The efficient frontier is no longer a curve in two dimensions. It becomes a surface in three dimensions : for each combination of risk tolerance and liquidity tolerance, there is an optimal portfolio. Investors who can accept more illiquidity unlock higher-return allocations.

Problem 2: Cash flow forecasting ignores market conditions

Once you have a target allocation, you need to plan commitments and manage liquidity. This requires forecasting when capital gets called and when it comes back. Existing models have clear limitations:

The Yale model (Takahashi-Alexander, 2002) is widely used but deterministic. It cannot adapt to changing market conditions. Stochastic models add randomness but ignore external factors. Both treat each fund in isolation.

Our approach: ML with macro variables

Our machine learning model integrates fund characteristics with macro-economic and market variables that actually drive PE cash flow timing:

Market conditions (VIX, CFNAI), public equity dynamics (S&P 500, NASDAQ, Fama-French factors), and credit conditions (yield curve spread, risk-free rate). The model learns how these factors influence capital calls and distributions at different stages of a fund's lifecycle.

The result: up to 10% lower prediction error during critical fund years (4-6) and up to 25% lower downside risk compared to the next best model. This means fewer surprises when capital calls arrive.

Model-agnostic platform

We do not force you into one model. The platform runs the Yale model, stochastic models, and our ML model side by side on your portfolio. Compare the forecasts, see where they agree and where they diverge, and decide which assumptions you trust for your commitment plan.

Why macro variables matter

Cash flow behavior is not constant. In the early fund years (1-3), broad market conditions are the strongest predictor of capital call timing. From year 3 onwards, a fund's own cash flow history becomes dominant. In the harvest period (year 7+), exit activity is heavily influenced by public equity valuations and credit conditions.

A model that ignores these dynamics will systematically mispredict cash flows during exactly the periods when accuracy matters most: market stress, credit tightening, or rapid exits in hot markets.

Three decisions. One platform.

Everything on the platform is designed to inform three concrete decisions:

Allocation

How much in alternatives?

Optimized target allocation across all asset classes, respecting your risk and liquidity constraints.

Next Commitment

When and how much?

Commitment pacing schedule that translates the target allocation into concrete actions over time.

Cash Reserve

How much to keep liquid?

Cash flow forecast that shows when capital gets called, when it comes back, and how much buffer you need.

Academic foundations

Gupta, A., and Van Nieuwerburgh, S. (2021). Valuing Private Equity Investments Strip by Strip. Journal of Finance , 76(6), 3255-3307.

Knicker, M., and Braun, R. (2024). Using Replicating Portfolios to Include Illiquid Assets in Portfolio Optimization. Working Paper, TU Munich.

Pardon, N., and Knicker, M. (2024). Benchmarking Private Equity Cash Flow Forecasting: A Machine Learning Approach. Working Paper, TU Munich.

Takahashi, D., and Alexander, S. (2002). Illiquid Alternative Asset Fund Modeling. Journal of Portfolio Management , 28, 90-100.

Ang, A., Papanikolaou, D., and Westerfield, M. (2014). Portfolio Choice with Illiquid Assets. Management Science , 60(11), 2737-2761.

Full methodology

The complete documentation, including model specifications and scenario examples, is available to platform users. Log in to access.

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