Public Market Equivalent Calculation Excel

Calculate the Public Market Equivalent (PME) ratio to compare private equity performance against public market benchmarks. This tool helps investors determine whether their private equity investments are outperforming equivalent public market investments.

Comprehensive Guide to Public Market Equivalent (PME) Calculation in Excel

The Public Market Equivalent (PME) ratio is a sophisticated performance metric that allows investors to compare private equity returns against equivalent investments in public markets. Developed by Steve Kaplan and Antoinette Schoar in their 2005 paper, PME has become an industry standard for evaluating private equity performance on a risk-adjusted basis.

Understanding the PME Concept

PME answers a fundamental question: Would I have been better off investing in public markets instead of private equity? The ratio compares the actual returns from a private equity investment to what those same cash flows would have generated if invested in a public market index.

Key Features of PME

• Cash flow matching: Compares actual private equity cash flows to equivalent public market investments
• Risk-adjusted: Accounts for the illiquidity premium in private equity
• Time-weighted: Considers the timing of cash flows
• Benchmark-relative: Uses public market indices as comparison

When to Use PME

• Evaluating private equity fund performance
• Comparing private vs. public investment strategies
• Due diligence for limited partners
• Portfolio construction decisions
• Performance reporting to stakeholders

The PME Calculation Formula

The PME ratio is calculated using the following formula:

PME = (1 + IRR)ⁿ / (1 + r)ⁿ

Where:
IRR = Internal Rate of Return of the private equity investment
r = Return of the public market index over the same period
n = Number of years

In practice, the calculation involves these steps:

1. Collect cash flows: Gather all capital calls (negative cash flows) and distributions (positive cash flows) with their dates
2. Calculate IRR: Determine the internal rate of return for the private equity investment
3. Simulate public investment: “Invest” each cash flow in the public market index at the actual date it occurred
4. Calculate terminal value: Determine what the public market investment would be worth at the end of the period
5. Compute ratio: Divide the private equity terminal value by the public market terminal value

Implementing PME in Excel

Creating a PME calculator in Excel requires several key components:

1. Cash Flow Table Setup

Date	Private Equity Cash Flow	Public Market Index Value	Public Market Units Purchased	Cumulative Public Market Value
01/15/2020	($1,000,000)	3,257.85	307.01	$1,000,000
03/20/2021	$200,000	3,908.50	51.17	$1,234,567
07/10/2022	$300,000	3,751.77	80.00	$1,589,234
11/05/2023	$1,500,000	4,358.34	0.00	$2,145,678

2. Excel Functions Required

The essential Excel functions for PME calculation include:

• XIRR: Calculates the internal rate of return for irregular cash flows
  Syntax: =XIRR(values, dates, [guess])
• XNPV: Calculates net present value for irregular cash flows
  Syntax: =XNPV(rate, values, dates)
• INDEX/MATCH: For looking up historical index values
  Syntax: =INDEX(range, MATCH(lookup_value, lookup_range, 0))
• SUMIFS: For conditional summing of cash flows
  Syntax: =SUMIFS(sum_range, criteria_range1, criteria1, ...)

3. Step-by-Step Excel Implementation

1. Data Preparation:
   • Create columns for dates, private equity cash flows, and public market index values
   • Ensure dates are in chronological order
   • Download historical index data (e.g., from Yahoo Finance or Bloomberg)
2. Public Market Simulation:
   • For each cash flow, calculate how many units of the index could be purchased
   • Formula: =ABS(cash_flow) / index_value_on_date
   • Track cumulative units purchased over time
3. Terminal Value Calculation:
   • Multiply total accumulated units by final index value
   • Formula: =total_units * final_index_value
4. PME Ratio Calculation:
   • Calculate private equity terminal value (sum of all positive cash flows)
   • Divide private equity terminal value by public market terminal value
   • Formula: =private_terminal_value / public_terminal_value

Advanced PME Variations

While the basic PME provides valuable insights, several advanced variations address specific analytical needs:

Variation	Description	When to Use	Excel Implementation Complexity
Modified PME (mPME)	Adjusts for the timing of public market investments by assuming periodic rebalancing	When you want to account for the ability to rebalance public investments	High
PME+	Incorporates the risk-free rate to account for the time value of money	For more precise risk-adjusted comparisons	Medium
Long-Nickels PME	Uses a different cash flow matching approach that may be more appropriate for certain fund structures	For funds with complex capital call schedules	High
Direct Alpha	Combines PME with a direct alpha calculation to measure value added beyond public markets	When you need to isolate manager skill from market returns	Very High

Common Challenges in PME Calculation

Implementing PME correctly requires navigating several potential pitfalls:

Data Quality Issues

• Incomplete cash flows: Missing capital calls or distributions will skew results
• Incorrect dates: Even small date errors can significantly impact IRR calculations
• Index selection: Choosing an inappropriate benchmark can lead to misleading comparisons

Methodological Challenges

• Survivorship bias: Public indices don’t account for failed companies
• Liquidity differences: Private equity’s illiquidity isn’t fully captured
• Fee structures: Public market returns are typically gross of fees

Excel-Specific Problems

• XIRR limitations: The function can return errors with certain cash flow patterns
• Circular references: Complex implementations may create calculation loops
• Performance issues: Large datasets can slow down calculations

PME vs. Other Performance Metrics

While PME is powerful, it’s important to understand how it compares to other common private equity metrics:

Metric	Calculation	Strengths	Weaknesses	Best Use Case
PME	Private TV / Public TV	Direct public market comparison, accounts for cash flow timing	Sensitive to benchmark choice, doesn’t account for all risk factors	Comparing private vs. public investment options
IRR	Discount rate that makes NPV=0	Simple, widely understood, accounts for time value	Can be manipulated by timing, ignores scale	Quick performance assessment
TVPI	(Distributions + Residual Value) / Paid-In Capital	Easy to calculate, intuitive	Ignores time value of money	High-level fund performance
DPI	Distributions / Paid-In Capital	Shows actual cash returned	Ignores remaining value and timing	Liquidity analysis
RVPI	Residual Value / Paid-In Capital	Shows remaining potential	Subject to valuation uncertainty	Ongoing fund monitoring

Practical Applications of PME

Understanding when and how to use PME can significantly enhance investment decision-making:

1. Limited Partner Due Diligence

Institutional investors use PME to:

• Compare potential private equity fund investments against public alternatives
• Evaluate existing private equity allocations in their portfolio
• Assess manager skill by isolating alpha from market returns
• Determine appropriate allocation sizes between private and public investments

2. Fund Manager Benchmarking

Private equity firms utilize PME to:

• Demonstrate value creation to potential limited partners
• Identify periods of outperformance or underperformance
• Refine investment strategies based on relative performance
• Set performance hurdles for carried interest calculations

3. Portfolio Construction

Asset allocators apply PME to:

• Determine optimal private equity allocations
• Compare vintage year performance across different market cycles
• Evaluate sector-specific private equity opportunities
• Assess the impact of private equity on overall portfolio risk/return

Academic Research on PME

The development and refinement of PME has been the subject of significant academic study. Key research includes:

1. Kaplan & Schoar (2005): The foundational paper introducing PME, published in the Journal of Finance. The authors found that private equity funds typically underperformed the S&P 500 on a PME basis during the study period (1980-2001).
   Read the original paper (JSTOR)
2. Harris, Jenkinson, & Kaplan (2014): This study extended the PME analysis to European private equity funds and found similar patterns of underperformance relative to public markets.
   Access the SSRN paper
3. Phalippa et al. (2018): Examined the sensitivity of PME to different benchmark choices and time periods, highlighting the importance of appropriate index selection.
   NBER working paper

Excel Template for PME Calculation

For practitioners looking to implement PME in Excel, here’s a recommended template structure:

Worksheet 1: Input Data

• Private equity cash flows (dates and amounts)
• Public market index values (daily or monthly)
• Fund vintage year and exit date
• Risk-free rate data

Worksheet 2: Calculations

• IRR calculation using XIRR
• Public market unit accumulation
• Terminal value calculations
• PME ratio and interpretation

Worksheet 3: Sensitivity Analysis

• PME calculations with different benchmarks
• Impact of varying risk-free rates
• Scenario analysis for different exit dates

Worksheet 4: Visualizations

• Cash flow waterfall chart
• Private vs. public market value comparison
• PME ratio over time

Best Practices for PME Analysis

To ensure accurate and meaningful PME calculations, follow these best practices:

1. Use appropriate benchmarks: Select public market indices that closely match the private equity investment’s risk profile and sector focus
2. Maintain data integrity: Verify all cash flow dates and amounts for accuracy
3. Consider multiple periods: Analyze PME over different time horizons to understand performance consistency
4. Combine with other metrics: Use PME alongside IRR, TVPI, and other metrics for a comprehensive view
5. Account for fees: Adjust public market returns to reflect comparable fee structures
6. Document assumptions: Clearly state all methodological choices and data sources
7. Update regularly: Recalculate PME as new cash flows and market data become available

The Future of PME Analysis

As private markets continue to grow in importance, PME analysis is evolving:

Technological Advancements

• AI-powered benchmark selection
• Automated data collection from fund administrators
• Real-time PME dashboards
• Blockchain for verified cash flow data

Methodological Innovations

• Dynamic PME that adjusts for changing market conditions
• Integration with ESG factors
• Liquidity-adjusted PME variants
• Machine learning for predictive PME analysis

Regulatory Developments

• Standardized PME reporting requirements
• SEC guidance on PME disclosure
• Global harmonization of performance metrics
• Increased transparency in benchmark data

Conclusion: Mastering PME for Better Investment Decisions

The Public Market Equivalent ratio represents a powerful tool for private equity investors seeking to understand their true performance relative to public markets. By implementing PME calculations in Excel—whether through manual construction or using sophisticated templates—investors can gain valuable insights into the real value added by private equity managers.

Remember that while PME provides crucial comparative information, it should be used alongside other metrics and qualitative factors in making investment decisions. The most sophisticated investors combine PME analysis with:

• Detailed due diligence on fund managers
• Comprehensive risk assessments
• Portfolio construction considerations
• Long-term strategic asset allocation

As private markets continue to evolve and grow in importance, mastery of PME analysis will remain a critical skill for institutional investors, fund managers, and financial analysts alike. The ability to accurately compare private and public market performance enables more informed decision-making and ultimately contributes to better investment outcomes.