Chapter 6 – Risk and Return – Fund and Investor Perspective (Part 4 of 6)

6.6 Return Measurement Metrics (Continued)

In alternative investments, while the Financial Internal Rate of Return (FIRR) provides a time-value-adjusted return, it can be highly sensitive to the exact timing of cash flows. To present a complete, absolute picture of performance, the Alternative Investment Fund (AIF) industry widely complements FIRR with the Return on Investment (ROI) / multiples approach. These multiples measure "how many rupees of value have been generated for every rupee of capital paid in by the investor".

Following the Paid-in Capital (PIC) Multiple (which measures capital deployment), three core ROI multiples are used to evaluate a fund's performance over its lifecycle:

1. Distributed to Paid-in Capital (DPI)
2. Residual Value to Paid-in Capital (RVPI)
3. Total Value to Paid-in Capital (TVPI)

Distributed to Paid-in Capital (DPI) Multiple

The DPI Multiple is commonly referred to as the realisation multiple. It is a critical metric used to evaluate how much tangible cash has actually been returned to the investors relative to the capital they have supplied.

• Core Definition: DPI measures the total cumulative distributions returned to investors as a proportion of the total capital paid into the fund to date.
• Application: This metric is most effective for evaluating a fund in its later stages of maturity, as distributions naturally accumulate and become more significant over time.
• Mathematical Formula: DPI = Cumulative Distributions to Investors / Paid-in Capital

Practical Example of DPI Calculation

Consider an AIF where the investors have paid in a total capital of INR 1,000 crore to date. If the cumulative distributions returned to investors across this period equal INR 400 crore, the DPI Multiple is calculated as follows: DPI = INR 400 crore / INR 1,000 crore = 0.40 (or 40%) This tells the investor that they have received back 40 paise in cash for every rupee of capital they paid into the fund.

Residual Value to Paid-in Capital (RVPI) Multiple

The RVPI Multiple is also referred to as the unrealised multiple. It indicates the remaining value of the fund's active portfolio that has not yet been exited.

• Core Definition: RVPI measures the estimated net asset value (NAV) of the fund's remaining, unrealised investments as a proportion of the total capital paid into the fund to date.
• Application: Early in a fund’s lifecycle, when exits have not yet commenced, RVPI is a far more representative indicator of potential future returns than DPI.
• Key Risk Check: Investors must keep in mind that the residual value of the underlying unlisted investments is merely an estimate. Its accuracy depends entirely on the robustness and fairness of the valuation methodology used to value these unrealised assets. If a fund displays a consistently high Multiple on Invested Capital (MOIC) to RVPI ratio, it should serve as a red flag for investors to closely scrutinise the underlying asset valuations.
• Mathematical Formula: RVPI = Residual Value of Underlying Investments / Paid-in Capital

Total Value to Paid-in Capital (TVPI) Multiple

The TVPI Multiple represents the total value generated by the fund relative to the paid-in capital, accounting for both realised cash distributions and the estimated value of the remaining unrealised portfolio.

• Core Definition: TVPI is the sum of the cash returned to investors (DPI) and the estimated remaining value of the active portfolio (RVPI).
• Application: It provides a consolidated view of the fund's overall wealth-creation status.
• Mathematical Formula: TVPI = DPI + RVPI

Shifting Lifecycle Dynamics of ROI Multiples

The relationship between DPI, RVPI, and TVPI changes dynamically as an AIF transitions through its lifecycle from inception to final winding up:

1. The Early / Investing Phase: Before the fund issues capital calls and actively commences investments, the TVPI is typically less than 1.0x. This is because the fund's initial capital is partially consumed by upfront fees and administrative expenses chargeable to it, resulting in a net asset value that is temporarily lower than the total paid-in capital.
2. The Vintage and Growth Phase: During the fund's middle years, the underlying portfolio companies scale up and experience value appreciation. This appreciation is captured in the unrealised fair market value of the assets, meaning the RVPI dominates the TVPI. DPI remains very low as exits have not yet occurred.
3. The Harvesting Phase: As the fund manager begins to exit investments, assets are converted into cash, and DPI begins to rise. Concurrently, the remaining unrealised portfolio shrinks, causing RVPI to decline.
4. Final Liquidation: Once the fund has fully exited all investments and returned the final proceeds, the RVPI drops to zero. At this ultimate maturity stage, the fund is fully realised, and DPI equals TVPI.

6.7 Market-Adjusted Return Metrics

Because private equity and venture capital funds operate under illiquid and close-ended structures, comparing their returns directly to liquid public equity markets is challenging. To address this, sophisticated investors deploy market-adjusted return metrics to evaluate whether an AIF has truly outperformed a comparable public market index.

The Kaplan-Schoar Public Market Equivalent (KS-PME)

The KS-PME is a powerful methodology that assesses the relative efficiency of an AIF's cash flows against a public stock market index.

• Mechanism: It operates by taking the exact dates of the AIF's capital calls (outflows) and cash distributions (inflows) and compounding them to the valuation date using the actual performance of a public market index as the compounding factor.
• Interpretation: The KS-PME is expressed as a market-adjusted TVPI ratio:
  • KS-PME > 1.0: The AIF has outperformed the public market index, indicating superior asset management and alpha generation.
  • KS-PME < 1.0: The AIF has underperformed the public market, meaning investors would have been better off investing in the public index.
• Mathematical Formula: KS-PME = (Sum of Future Value of Distributions + NAV) / Sum of Future Value of Capital Calls

Note: In the formula above, the "future value" of each cash flow is computed by compounding it from the actual transaction date to the valuation date using the public market index returns.

The Direct Alpha Method

While the KS-PME expresses public market outperformance as an absolute ratio, the Direct Alpha Method is used to calculate the exact percentage of outperformance (alpha) over the market.

• Mechanism: Direct Alpha uses a similar methodology to KS-PME by compounding all of the fund's capital calls, distributions, and ending NAV using the public market index returns to generate a net future value of cash flows.
• Calculation: By running the =IRR(...) function in a spreadsheet on this compounded net cash flow, the excess annualized return—or Direct Alpha—is calculated. For instance, if an AIF has a nominal IRR of 35% and its Direct Alpha is calculated to be 10%, it indicates that the public market benchmark yielded a comparable IRR of 25% across the same period (calculated as 35% - 10% = 25%).

Summary of Performance Evaluation Metrics

Key Takeaways for Part 4

• Realised vs. Unrealised Value: A fund's overall value (TVPI) is split between cash returned (DPI) and estimated remaining value (RVPI). Early-stage fund evaluation relies heavily on RVPI, while late-stage evaluation depends on DPI.
• The Expense Drag: Very early in an AIF's life, TVPI is typically less than 1.0x because initial management fees and administrative costs drag down the net asset value before investment gains accrue.
• PME for Benchmarking: Absolute IRR numbers can be misleading if public markets are also booming. The KS-PME and Direct Alpha metrics provide essential market-adjusted benchmarks to verify whether the AIF's illiquidity and high-risk profile have yielded true outperformance.

Important Terms Defined in Part 4

• Distributed to Paid-in Capital (DPI): An absolute return multiple that measures cumulative cash distributions returned to investors divided by the total paid-in capital.
• Residual Value to Paid-in Capital (RVPI): An absolute return multiple measuring the estimated fair market value of active, unrealised investments divided by the total paid-in capital.
• Total Value to Paid-in Capital (TVPI): The sum of the DPI and RVPI multiples, representing the consolidated value generated by the AIF per rupee of paid-in capital.
• Kaplan-Schoar PME (KS-PME): A market-adjusted performance metric that compounds all of an AIF's actual cash flows using public market index returns to calculate an adjusted TVPI, showing relative market outperformance.
• Direct Alpha: A performance metric that quantifies an AIF's annualized outperformance over a public market index as a direct percentage rate.