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Advanced guidance for institutional investors, academics, and researchers on how to manage a portfolio of private capital funds The Art of Commitment Pacing: Engineering Allocations to Private Capital provides a much-needed analysis of the issues that face investors as they incorporate closed ended-funds targeting illiquid private assets (such as private equity, private debt, infrastructure, real estate) into their portfolios. These private capital funds, once considered "alternative" and viewed as experimental, are becoming an increasingly standard component of institutional asset allocations. However, many investors still follow management approaches that remain anchored in the portfolio theory for liquid assets but that often lead to disappointing results when applied to portfolios of private capital funds where practically investors remain committed over nearly a decade. When planning for such commitments, investment managers and researchers are faced with practical questions such as: * How to measure and control the real exposure to private assets? * How to forecast cash-flows for commitments to private capital funds? * What ranges for their returns and lifetime are realistic, and how can the investor's skill be factored in? * Over which dimensions should a portfolio be diversified and how much diversification is enough? * How can the impact of co-investments or secondaries be modelled? * How to design pacing plans that lead to resilient and efficient portfolios? * What stress scenarios should be considered and how can they be applied? These are just examples of the many questions for which answers are provided. The Art of Commitment Pacing describes established and new methodologies for building up and controlling allocations to such investments. This book offers a systematic approach for building up and controlling allocations to such investments. The Art of Commitment Pacing is a valuable addition to the libraries of investment managers, as well as portfolio and risk managers involved in institutional investment. The book will also be of interest to advanced students of finance, researchers, and other practitioners who require a detailed understanding of forecasting and portfolio management methodologies.

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Table of Contents

Cover

Table of Contents

Title Page

Copyright

Acknowledgements

CHAPTER 1: Introduction

SCOPE OF THE BOOK

QUICK GLOSSARY

THE CHALLENGE OF PRIVATE CAPITAL

ENGINEERING A RESILIENT PORTFOLIO

ORGANISATION OF THE BOOK

NOTES

CHAPTER 2: Institutional Investing in Private Capital

LIMITED PARTNERSHIPS

STRUCTURE

CRITICISM

ADDRESSING UNCERTAINTY

CONCLUSION

NOTES

CHAPTER 3: Exposure

EXPOSURE

DEFINITION

LAYERS OF INVESTMENT

COMMITMENT RISK

EXPOSURE MEASURES – LP'S PERSPECTIVE

EXPOSURE MEASURES – FUND MANAGER'S PERSPECTIVE

SUMMARY AND CONCLUSION

NOTES

CHAPTER 4: Forecasting Models

BOOTSTRAPPING

MACHINE LEARNING

TAKAHASHI–ALEXANDER MODEL

STOCHASTIC MODELS

CONCLUSION

NOTES

CHAPTER 5: Private Market Data

FUND PEER GROUPS

DATA PROVIDERS

BIASES

CONCLUSION

NOTES

CHAPTER 6: Augmented TAM – Outcome Model

FROM TAM TO STOCHASTIC FORECASTS

USE CASES FOR STOCHASTIC CASH-FLOW FORECASTS

MODEL ARCHITECTURE

SEMI-DETERMINISTIC TAM

ADJUSTING RANGES FOR LIFETIME AND TVPI

CONSTRUCTING PDF FOR TVPI BASED ON PRIVATE MARKET DATA

A1*TAM RESULTS

NOTES

CHAPTER 7: Augmented TAM – Pattern Model

A2*TAM

CHANGING GRANULARITY

INJECTING RANDOMNESS

CONVERGENCE A2*TAM TO TAM

SPLIT CASH FLOWS IN COMPONENTS

CASH-FLOW-CONSISTENT NAV

SUMMARY

NOTES

CHAPTER 8: Modelling Avenues into Private Capital

PRIMARY COMMITMENTS

MODELLING FUND STRATEGIES

FUNDS OF FUNDS

SECONDARY BUYS

SECONDARY FOFs

CO-INVESTMENTS

SIDE FUNDS

IMPACT ON PORTFOLIO

NOTES

CHAPTER 9: Modelling Diversification for Portfolios of Limited Partnership Funds

THE LP DIVERSIFICATION MEASUREMENT PROBLEM

ASPECTS OF DIVERSIFICATION

DIVERSIFYING COMMITMENTS

DIVERSIFICATION DIMENSIONS

DEFINITIONS

MODELLING VINTAGE YEAR IMPACT

COMMITMENT EFFICIENCY

MOBILITY BARRIERS

IS THERE AN OPTIMUM DIVERSIFICATION?

PORTFOLIO IMPACT

APPENDIX A – DETERMINING SIMILARITIES

APPENDIX B – GEOGRAPHICAL SIMILARITIES

APPENDIX C – MULTI-STRATEGIES AND OTHERS

APPENDIX D – INDUSTRY SECTOR SIMILARITIES

APPENDIX E – STRATEGY SIMILARITIES

APPENDIX F – FUND MANAGEMENT FIRM SIMILARITIES

APPENDIX G – INVESTMENT STAGE SIMILARITIES

APPENDIX H – FUND SIZE SIMILARITIES

NOTES

CHAPTER 10: Model Input Data

CATEGORICAL INPUT DATA

PERCEPTIONS

MOVING FROM WEAK TO STRONG DATA

NOTES

CHAPTER 11: Fund Rating/Grading

PRIVATE CAPITAL FUNDS AND RATINGS

PRIVATE CAPITAL FUND GRADINGS

PROTOTYPE FUND GRADING SYSTEM

EX-ANTE WEIGHTS

QUANTIFICATION

NOTES

CHAPTER 12: Qualitative Scoring

OBJECTIVES AND SCOPE

RELEVANT DIMENSIONS

SCORING METHOD

ASSIGNING GRADES

APPENDIX – SEARCH ACROSS SEVERAL PRIVATE MARKET DATA PROVIDERS

INTEROPERABILITY

MATCHING

NOTES

CHAPTER 13: Quantification Based on Fund Grades

GRADING PROCESS

QUARTILING

APPROACH

CONTROLLING CONVERGENCE

LP SELECTION SKILLS

IMPACT OF RISK GRADE

TVPI SAMPLING

NOTES

CHAPTER 14: Bottom-up Approach to Forecasting

LOOK-THROUGH

BOTTOM-UP

OVERRIDES

PROBABILISTIC BOTTOM-UP

COMBINING TOP-DOWN WITH BOTTOM-UP

NOTES

CHAPTER 15: Commitment Pacing

DEFINING A PACING PLAN

PACING PHASES

SIMULATING THE PACING PLAN

PACING PLAN OUTCOMES

LIQUIDITY CONSTRAINTS

MAINTENANCE PHASE

ADDITIONAL OBJECTIVES AND CONSTRAINTS

CONCLUSION

NOTES

CHAPTER 16: Stress Scenarios

MAKE FORECASTS MORE ROBUST

IMPACT OF ‘BLACK SWANS’

MODELLING CRISES

BUILDING STRESS SCENARIOS

MARKET REPLAY

VARYING OUTCOMES

VARYING PORTFOLIO DEPENDENCIES

VARYING PATTERNS

CONCLUSION

NOTES

CHAPTER 17: The Art of Commitment Pacing

IMPROVED INFORMATION TECHNOLOGY

DIRECT INVESTMENTS

USE OF ARTIFICIAL INTELLIGENCE

RISK OF PRIVATE EQUITY

SECURITISATIONS

JUDGEMENT, ENGINEERING, AND ART

NOTES

Abbreviations

Glossary

Biography

Bibliography

Index

End User License Agreement

List of Tables

Chapter 3

TABLE 3.1 Summary

Chapter 6

TABLE 6.1 Relationship between model components

Chapter 8

TABLE 8.1 Avenues into private capital, LP perspective1

TABLE 8.2 TAM-strategy-specific parameters

Chapter 9

TABLE 9.1 Relation between KPIs

TABLE 9.A-1 Scoring similarities (based on Greenberg, 2015)

TABLE 9.A-2 Scoring similarities within region

TABLE 9.A-3 Investment sizes by strategy

Chapter 11

TABLE 11.1 LP selection skill model (according to Jeet, 2020)

TABLE 11.2 Equal ex-ante weights for quartiles, neutral scenario

TABLE 11.3 Expectation grades' ex-ante weights for a 2-quantile grading syst...

TABLE 11.4 Expectation grades' ex-ante weights for an

n

-quantile grading sys...

TABLE 11.5 Expectation grades

TABLE 11.6 Expectation grades' ex-ante weights for quartiles

TABLE 11.7 Risk grades

Chapter 12

TABLE 12.1 Scoring dimensions

TABLE 12.A-1 Alerts, examples for signals indicative for fund problems

TABLE 12.A-2 Measuring the overlap between classification definitions

TABLE 12.A-3 Measuring the overlap between vintage years

Chapter 16

TABLE 16.1 Definition of vintage-year-specific market periods

TABLE 16.2 Sample weight schedule w(s, r)

TABLE 16.3 Sample per cluster step

TABLE 16.4 Summary stresses

List of Illustrations

Chapter 1

FIGURE 1.1 Examples for commitment pacing strategies

FIGURE 1.2 Cash-flow J-curve

Chapter 2

FIGURE 2.1 Limited partnership structure (simplified economic perspective)

Chapter 3

FIGURE 3.1 Commitments, investments, and cash-flows

FIGURE 3.2 LPs indirectly controlling investments in private assets

FIGURE 3.3 Commitment

FIGURE 3.4 Commitment minus capital repaid

FIGURE 3.5 Repayment Age adjusted commitment

FIGURE 3.6 IPEV NAV

FIGURE 3.7 NAV and fund’s age structure

FIGURE 3.8 IPEV NAV plus uncalled commitment

FIGURE 3.9 Repayment Age adjusted accumulated contributions to approximate inves...

FIGURE 3.10 Summary (median exposure)

Chapter 4

FIGURE 4.1 Forecast generated by the TAM under the following assumptions: commit...

FIGURE 4.2 Bow factor

FIGURE 4.3 Forecast generated by the TAM, with a bow factor of 1 but otherwise t...

FIGURE 4.4 Impact of reducing the bow factor to zero. Again, the fund’s IRR is 1...

FIGURE 4.5 Impact of setting a high bow factor, in this case 10. Distributions a...

FIGURE 4.6 Forecast generated by the TAM, with a yield of 15% but otherwise the ...

FIGURE 4.7 Impact of increasing the yield to 30% (compared to Figure 4.6). This ...

Chapter 6

FIGURE 6.1 Quarterly Capital-Call-at-Risk Probability Density Function (top) and...

FIGURE 6.2 Outcome model

FIGURE 6.3 Initialize range for fund lifetime

FIGURE 6.4 Adjust most likely lifetime for ‘speed’

FIGURE 6.5 Adjust lifetime ranges for certainty

FIGURE 6.6 Update triangular distribution for fund’s lifetime

FIGURE 6.7 Initialize range for TVPI

FIGURE 6.8 Adjust most likely TVPI for current trajectory

FIGURE 6.9 Adjust TVPI ranges for certainty

FIGURE 6.10 Pick samples of pairs (lifetime and TVPI)

FIGURE 6.11 TAM forecasts scaled to lifetime and TVPI, three samples.

FIGURE 6.12 Forecast ‘box’ for maturing fund

FIGURE 6.13 Building histogram for TVPI out of quartile ranges

FIGURE 6.14 Sampling from Horizon TVPI CDF

FIGURE 6.15 Adding vintage year to histogram

FIGURE 6.16 Cumulative distribution function PICC over time (capturing contribut...

FIGURE 6.17 Sampling horizon and samples sizes

FIGURE 6.18 NAV exposure scenarios forecasted by A1*TAM (semi-deterministic TAM)...

Chapter 7

FIGURE 7.1 Expected contributions and distributions forecasted by the TAM

FIGURE 7.2 Stochastic cash-flow sample (simplified, schematic)

FIGURE 7.3 Towards a stochastic model

FIGURE 7.4 Splitting annual into quarterly cash-flows

FIGURE 7.5 Controlling volatility of contributions through a beta distribution; ...

FIGURE 7.6 Comparison A2*TAM volatility parameter impact against PitchBook yearl...

FIGURE 7.7 Controlling volatility of distributions through log-normal distributi...

FIGURE 7.8 Impact freq_ctrl=0,7 and low vol_ctrl

FIGURE 7.9 Impact high vol_ctrl and freq_ctrl=1,0

FIGURE 7.10 Modelling credit lines

FIGURE 7.11 Cash-flow-consistent NAV (total commitment size of €100m)

FIGURE 7.12 Cash-Flow-at-Risk (total commitment size of €100m)

FIGURE 7.13 Capital-Call-at-Risk (total commitment size of €100m)

Chapter 8

FIGURE 8.1 Based on contribution rates for venture capital according to Takahash...

FIGURE 8.2 Based on contribution rates for real estate according to Takahashi an...

FIGURE 8.3 Secondary buy of interest in fund. For discount to NAV acquirer takes...

FIGURE 8.4 Inverted J-curve consistent with acquiring the NAV in year 4 at a 20%...

FIGURE 8.5 Inverted IRR J-curve for secondary FOFs

FIGURE 8.6 TVPI J-curve for secondary FOFs

FIGURE 8.7 Co-investment profile, bow factor 100, growth rate 15%

FIGURE 8.8 Comparison evolution of performance over time, schematic (based on Co...

Chapter 9

FIGURE 9.1 Diversification KPIs

FIGURE 9.2 Vintage year impact on similarity

FIGURE 9.3 Increasing portfolio concentration

FIGURE 9.4 Commitment efficiency over portfolio

FIGURE 9.5 Sharpe ratio versus number of funds per portfolio

FIGURE 9.6 Sortino ratio versus number of funds per portfolio

FIGURE 9.7 CE timeline

FIGURE 9.8 Randomly pick samples, reflecting membership to cluster

FIGURE 9.A-1 Geographies

FIGURE 9.A-2 Industry sector focus

FIGURE 9.A-3 Stage focus

Chapter 11

FIGURE 11.1 LP selection skill model (according to Jeet, 2020)

FIGURE 11.2 Asymmetric downward stress to capture diminished expectations

FIGURE 11.3 Symmetric stresses to capture risks

Chapter 12

FIGURE 12.A-1 Measuring overlap in definitions

FIGURE 12.A-2 Benchmark expansion according to Preqin (2017)

Chapter 13

FIGURE 13.1 Grading process

FIGURE 13.2 Benchmark TVPI ranges

FIGURE 13.3 Funds captured by the benchmark

FIGURE 13.4 Height table quartiles according to girls' age

FIGURE 13.5 New fund / extreme uncertainty

FIGURE 13.6 Mature fund / complete certainty

FIGURE 13.7 From uncertainty to certainty

FIGURE 13.8 Modelling selection skills

FIGURE 13.9 Selection skills and risk reflected in current weights for Expectati...

FIGURE 13.10 Risk impact

FIGURE 13.11 Selection skills and risk reflected in current weights for Expectat...

FIGURE 13.12 Internal Age reflecting risk appetite

FIGURE 13.13 Sampling from Horizon TVPI CDF, reflecting current weights

FIGURE 13.14 Mature fund sampling from Horizon TVPI CDF; assuming Expectation Gr...

Chapter 14

FIGURE 14.1 Inserting expert override into set of cash-flow scenarios

FIGURE 14.2 Investment manager’s estimates for cash-flow amount and timing

FIGURE 14.3 Translating estimates into probabilistic model

Chapter 15

FIGURE 15.1 Pacing plan

FIGURE 15.2 Pacing phases

FIGURE 15.3 Equal commitments spread over 10 years (€100 m total commitment) ...

FIGURE 15.4 One large initial commitment to reach target exposure faster (€100 m...

FIGURE 15.5 Aggregated contributions for equal commitments spread over 10 years ...

FIGURE 15.6 Aggregated contributions for one large initial commitment of €50 m; ...

FIGURE 15.7 Cash-flow characteristics for different fund types (schematic)

FIGURE 15.8 The Target NAV commitment strategy aims to reach and maintain a targ...

FIGURE 15.9 The Cash-Flow Matching commitment strategy aims keep the band for th...

Chapter 16

FIGURE 16.1 Quartile ranges for mature funds, by vintage year peer-group (source...

FIGURE 16.2 ‘Black swan’ events

FIGURE 16.3 Contributions (averaged across 1–4 years old buyout funds in a g...

FIGURE 16.4 Replay of Great Financial Crisis

FIGURE 16.5 Decreasing / increasing dependencies between funds

FIGURE 16.6 Controlling sampling in line with stress factors

FIGURE 16.7 Applying gravitational clustering to cash-flows across funds (exampl...

FIGURE 16.8 Strategies for extending the fund’s lifetime

FIGURE 16.9 Extension of the fund’s lifetime

FIGURE 16.10 Front-loading of contributions (acceleration)

FIGURE 16.11 Back-loading of distributions (deceleration)

FIGURE 16.12 Decreasing / increasing frequency of cash-flows (example for distri...

FIGURE 16.13 Strategies for decreasing volatility

FIGURE 16.14 Decreasing / increasing volatility of cash-flows (example for distr...

Guide

Cover

Table of Contents

Title Page

Copyright

Acknowledgements

Begin Reading

Abbreviations

Glossary

Biography

Bibliography

Index

End User License Agreement

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The Art of Commitment Pacing

Engineering Allocations to Private Capital

 

 

THOMAS MEYER

 

 

 

 

 

 

 

 

 

This edition first published 2024.

Copyright © 2024 by Thomas Meyer. All rights reserved.

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Thomas Meyer be identified as the author of this work has been asserted in accordance with law.

Registered Office(s)John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UKJohn Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA

Editorial OfficeThe Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UKFor details of our global editorial offices, customer services, and more information about Wiley products visit us at www.wiley.com.

Wiley also publishes its books in a variety of electronic formats and by print-on-demand. Some content that appears in standard print versions of this book may not be available in other formats.

Trademarks: Wiley and the Wiley logo are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates in the United States and other countries and may not be used without written permission. All other trademarks are the property of their respective owners. John Wiley & Sons, Inc. is not associated with any product or vendor mentioned in this book.

Limit of Liability/Disclaimer of Warranty: While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress Cataloging-in-Publication Data is Available

ISBN 9781394159604 (Cloth)ISBN 9781394159611 (ePDF)ISBN 9781394159628 (ePub)

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Acknowledgements

‘MBAs once scoffed at the thought of relying on a scientific and systematic approach to investing, confident that they could hire coders if they were ever needed. Today, coders say the same about MBAs, if they think about them at all.' Zuckerman (2019)

To a large degree, this book and the concepts described here build and follow on from the cooperation and discussions with my co-author Pierre-Yves Mathonet. We wrote our first book Beyond the J-Curve (John Wiley and Sons) in the years after the dotcom bubble during the early 2000s, documenting our experiences from building up the European Investment Fund's risk management function and developing methodologies for managing portfolios of private equity funds. As we found out at the time, many ideas are, in fact, quite difficult to implement as a functioning piece of software.

I am grateful for the opportunity SimCorp A/S has given me to turn these ideas into reality. I am greatly indebted to Hugues Chabanis and Marc Schröter, without whom the portfolio management solution for alternative assets would never have seen the light of day. I am extremely grateful for the support of my colleagues Catherine Le Caranta, Ross LeBlanc, Jan Aarre Midtgaard and Jacob Perner.

I particularly thank Emilian Belev from Northfield Information Services for our joint work and the discussions on private capital fund exposure.

A fund cash-flow forecasting model is at the core of portfolio management for private capital funds. Here, the main insight is that it is even better to run a less detailed model and to analyse its results frequently than interrogate a complicated model rarely. Building a sophisticated solution that generates forecasts with a high degree of automation, consistently, and – thanks to intensive testing – reliably, requires working across several development teams. I am greatly indebted to their current and previous members:

Team ‘Air Croissants’

Ivan Artamonov, Oleksii Fedoruk, Jensjakob Kristiansen, Jeppe Sidenius, Danyang Wang

Team ‘Alf’

Pietro De Caro, Jesper Rønning Dalby, Marie Dufva, Jozsef Gáspár, Mads Thorstein Roar Henriksen, Juni Kuriakose

Team ‘Asset Kickers’

Mateus Volkmer Nunes Gomes, Nikhila Maddipatla, Prasad Tarikere Murthy Rao, Daniel Secrieru, Ole Sieling, Oliver Simon

Team ‘Bynars’

Udo Dittmayer, Alin Gabriel Eremia, Masoud Hoore, Maria-Cristina Ionita, Bogumiła Jelito, Michael Röhrs, Maria Vasylieva

I am also much obliged to Richard Ballek and Kai Weber for their help.

Acknowledgements would not be complete without expressing my gratitude to Gemma Valler and Alice Hadaway at John Wiley and Sons, without whom this book would not have happened. Aravind Kannankara has done an outstanding job as copy editor and Vithusha Rameshan as leader of the production process.

I reserve the last acknowledgement to my most important supporter: once more, my heartfelt gratitude goes to Mika Kaneyuki, my wife and best friend, who is my strength and purpose in life.

Luxembourg, January 2024

CHAPTER 1Introduction

This book is about commitment pacing for private capital. As Preqin describes, what now is termed ‘private capital’ originally emerged as an offshoot of private equity.1 It comprises a wide range of assets that are not available on public markets and, therefore, are highly illiquid. This also includes, but not exclusively, venture capital (VC), private debt, real estate, infrastructure, commodities, timberland, and other natural resources. The organised market for this asset class is dominated by funds as principal financial intermediaries. Private capital has a long history, from an institutional investor perspective starting with the leveraged buyout boom in the 1980s.2

Practically, commitment pacing is the most relevant way for managing the exposure to private capital. It is the process by which an investor plans the timing and size of future commitments to funds, and the choice of the funds' strategies to reach and maintain a targeted allocation. Jeet (2020) stated that a ‘good commitment pacing plan is often seen as the lynchpin of a private capital program and can account for much of the dispersion in performance across LPs’.

SCOPE OF THE BOOK

A lot has been written about investing in this asset class, particularly private equity, so let us start with clarifying what this book is not about. It is not dealing with the question whether it is now a good time to increase or decrease allocations to private capital. Like in all markets, there are boom and rather depressed periods, limits to growth, etc. This will not be discussed here. Investing in private markets is here to stay.

It is not dealing with financial returns and the attractiveness of private market strategies, like what returns are buyouts delivering, or whether their risk-return ratio is better than that of VC. All data decay over time, and it is dangerous to rely on outdated market trends. We are, therefore, not discussing current market statistics, as results are likely to look different in other periods and economies anyway.

This book will also not deal with the question of how to select funds. Rather, it takes as core assumption that an individual limited partner (LP) has no systematic advantage in selecting funds. This will raise eyebrows, but the famous claim ‘we only invest in first-quartile funds' requires the belief that an investor is better than others in selecting funds. Investors need to ask themselves the (uncomfortable) question how much better their selection skills can be than that of the average institutional investor who has experienced professionals and established a proper due diligence process as well?

The focus of this book is the methods for commitment pacing and the reasoning behind them, to demystify this process and to describe a state-of-the-art approach to building up and maintaining allocations to private assets. The book aims to strike a balance between not taking a view that is too broad and not getting bogged down in more detail than is needed.

The figures and examples are for illustrative purposes only. Unless specifically pointed out, all examples are based on expected contributions, distributions, and net asset value (NAV) projections. The examples' assumptions may not be realised, and thus, cash flows and valuations of a real investment programme may significantly differ from the projections presented here.

QUICK GLOSSARY3

When referring to ‘investors’ in this book, we mean institutional investors – like insurers, pension funds, banks, endowments, sovereign wealth funds, and family offices – and the organisational entities they have set up for managing allocations to private capital. These investors either employ professionals as ‘investment managers’ to directly invest in private assets or invest through funds where professional management is provided by intermediaries.

‘Funds’ in the private capital context are usually structured as a limited partnership and are investment vehicles for pooling capital. Here, institutional investors mean the fund's ‘LPs’ who commit a certain amount to the fund and do not take an active role in its management. The term ‘general partner’ (GP) refers to the firm as an entity that is legally responsible for managing the fund's investments in private assets and has unlimited personal liability for its debts and obligations. Such ‘fund management firms’ regularly raise funds.

‘Fund managers’ are the professionals involved in the fund's day-to-day management. They form the fund's management team that includes the carried interest holders, i.e. those employees or directors of the GP who are entitled to share in the carried interest of the super profit made by the fund.

An LP's ‘commitments’ are drawn down as needed. There is little, if any, opportunity to redeem the investment before the end of the fund's lifetime. A significant part of the capital remains as ‘undrawn commitments’ in the hands of the LP. This capital waiting to be called is also referred to as ‘dry powder’ and carries opportunity costs. When and how much of these commitments are called, invested in what private assets, and when these investments are exited and the resulting proceeds returned to the LPs, is decided by the fund managers only.

THE CHALLENGE OF PRIVATE CAPITAL

After unabated ‘triumphalist money making’ since the 1980s, in the 2020s, private capital firms worldwide were sitting on about $2 trillion worth of dry power committed by their LPs but not invested. With more and more capital being allocated to private assets, returns increasingly have been coming under pressure. The ‘first quartile’ label attached to ‘institutional quality’ firms ceases to make sense.4 The ability of private equity investors to turn a company they buy and improve its efficiencies is, in the words of one industry observer, largely illusory: ‘This is, after all, the leveraged-buyout industry, and not the operational wizard-genius industry’.5 This may be exaggerating, but in all industries that are coming of age, successful practices spread and are adopted by companies outside the industry as well. As a consequence, the number of attractive investment opportunities appears to be in decline.

Institutional investors fear – not the first time in the industry's history – that future returns on private capital will be mediocre and again some LPs accept high discounts when selling to the secondary market.6 Crises like COVID-19 and the wars in Ukraine and the Middle East look like Black Swans,7 events of the highest improbability but with large consequences in the financial markets, that look as if they would change the industry's dynamics forever.

However, over the past decades, private capital regularly has survived Black Swans and thrived despite or maybe even because of them. There are no indicators why the real economy's core dynamics that drive private market – entrepreneurship, innovation, technological obsolescence, industrial restructuring, and societal change – should not continue to be of relevance in the future. Private capital will continue its long-term outperformance compared to public markets.

Risk and uncertainty

Since private capital, by definition, does not regularly trade on an open market and is held over several years, there is typically no recent third-party-determined quotation by which to calculate a fund's market value and that of the private asset it holds. When talking about ‘risk’ in this context, we are mainly looking at situations of ‘uncertainty’ in the definition of University of Chicago economist, Frank Knight, where there is no valid basis for quantifying the probabilities of outcomes.8

Volatility, therefore, is a controversial indicator for private equity risks. In the (relatively) early days of private equity, The Economist once quipped ‘to say that private equity is less volatile and thus less risky is a bit like saying that the weather does not change much when you stay inside and rarely look out of the window’.9

For private capital, the fund managers' reaction to an adverse market environment will be different than in the case of hedge funds or traditional assets. Funds structured as limited partnerships essentially protect companies from adverse market developments by giving them a lifetime in the form of the funds' dry powder.

All transactions in private markets are negotiated, and any reaction to short-term market developments cannot be instantaneous. When the market is in crisis, funds hold on to their portfolio companies as long as possible until it has recovered. There are no early redemptions, and rather than selling at lower price, exits are delayed, often significantly for years.

To keep with The Economist's witty analogy, fund managers are looking out of the window, see the rain, and decide to stay inside. In fact, the funds' limited partnership structure can be viewed as the response to uncertainty rather than risk.10 For forecasting and measuring risks, uncertainty is an undesirable characteristic of the process to be assessed, but in the real economy, the domain within which private capital investing is taking place, it is considered a necessary condition for profit, and here, the assumption that the absence of data means higher financial risk is wrong.

Why do we need commitment pacing?

For private assets, a target allocation cannot be bought like in the case of public equity or bonds. Rather, LPs commit to funds, and then, these commitments are called over time by the fund managers and gradually turned into investments in private asset. Commitment pacing is primarily applicable to allocations to limited partnership funds as these are cash-flow assets – which we would describe, in the absence of a common definition, as assets that during some market periods cannot be traded at fair prices, need to be sustained through a timely provision of liquidity, and are characterised by their cash-flow streams of uncertain amounts and at unpredictable times.

Commitment pacing is not needed for liquid assets or hedge funds that operate in public markets.11 Here, investors can increase and decrease allocations quickly through trading at prices that are close to valuations – where essentially, value is synonymous to cash flows.

Illiquidity

The commitment is waiting to be called and invested by the fund managers, but the LP's financial exposure is also limited to the amount. Controlling exposure is difficult, as it is driven by a number of factors, such as the timing and the amount of commitments, the number of years during which the commitments will take place, and the growth rate of the different assets.

If the LP commits too little, the real investment in private assets will not be sufficient for generating returns commensurate with this asset class. On the other hand, committing too much lead to liquidity shortfalls and can, therefore, result in the need to liquidate valuable positions or forgo attractive opportunities. This is complicated by the fund's J-curve, their tendency to post negative returns in the initial years and only turn into positive return territory in later years (see Box 1.1).

In contrast to asset classes available in public markets that may become illiquid during periods of financial turmoil and heightened risk aversion, private capital is structurally illiquid and its LPs are aware ex ante of the risk they are taking. It is precisely this risk, and more specifically the associated risk premium, that attracts investors to these asset classes. As a matter of principle, only long-term investors, whose liability profile allows them to lock capital in for a prolonged period of time, can harvest this risk premium.12

The siren song of the secondary market

Secondary markets are often viewed as a panacea for the illiquidity related to primary fund commitments and suggested as a means to accelerate the build-up of portfolios with an acceptable vintage year spread and to mitigate the portfolio's J-curve. Should opportunities appear, secondaries have a real-option character and as such can create value, but they are impractical for swiftly rebalancing a portfolio of funds or as a reliable route to liquidity. LPs are faced with severe limitations to managing their exposure to private capital in this way.

Box 1.1 J-Curve

Typical reasons why LPs pursue secondaries are as faster route to liquidity and for reducing the impact of the so-called ‘J-curve’.14 The J-curve refers to the pattern of interim returns between the inception and the termination of a fund. This pattern – also referred to as the ‘hockey stick’ – is explained by the funds' structure with set-up costs and management fees that depress early returns.

The ‘classical’ fund performance J-curve is mainly caused by the fact that valuation policies followed by the industry and the uncertainty inherent in private assets lead to promising investments being revaluated upwards quite late in a fund's lifetime. As a result, private capital funds tend to apparently decline in value during the early years of existence – the so-called ‘valley of tears’ – before beginning to show the expected positive returns in later years of the fund's life. This period is generally shorter for buyout than for VC funds, where many early-stage investments fail before eventually the few winners emerge.

The size of the secondary market is a fraction of the amounts committed to primary stakes in funds, and therefore, it will be difficult to significantly accelerate the build-up of a portfolio.13 To manage exposure through acquisitions, the secondary market often is unable to provide the targeted stakes with the desired strategy, vintage year, and remaining exposure.

Reducing the exposure through secondary market sales is possible but, particularly when trying to sell under time pressure, difficult to execute on advantageous terms. Liquidity tends to dry up precisely when LPs would prefer to sell and, even under normal circumstances, LPs will find it difficult to dispose of or acquire stakes in funds that match their desired portfolio composition, at least for an attractive price.

How does commitment pacing work?

According to the Chartered Financial Analyst Institute (CFA), commitment pacing enables investors in private alternatives to better manage their portfolio liquidity and set realistic annual commitment targets to reach the desired asset allocation.15 How does commitment pacing work?

We take as a simple example a fictitious small insurer who wants to build up an allocation to private capital over the coming years and plans to make an amount of not more than €100 million available for this purpose. The timing and the amounts of the fund's cash flows are highly uncertain, but the total called capital is not supposed to exceed the committed amount. Risk is an important consideration, so the portfolio should be spread over several funds and, importantly, over several vintages.

The insurer's pacing plan quantifies the amount and timing of capital commitments to achieve and maintain a targeted exposure to private assets over a specified period of time. The cause of exposure (the commitment to a fund at one time) and the resulting effect (the amounts actually invested in private assets and then their performance on maturity) are separated by years.

Let us look at three different pacing plans (see Figure 1.1) for committing the €100 million of available resources to a portfolio of funds. Pacing plan 1 foresees accelerating commitments over three years to quickly achieve a targeted exposure. Here, the peak exposure to private assets in NAV terms of around €58 million is already achieved after six years. Compared to liquid assets, this looks ‘glacial’ but underlines that private capital is only for very long-term-oriented investors. The other two pacing plans are even less aggressive. Pacing plan 2 foresees equal commitments spread over five years, and plan 3 slows down commitments and stretches them over seven years, with the expected maximum NAV exposure not exceeding €50 million.

With any of these pacing plans, it looks as if the insurer does not even need €100 million and, in fact, we therefore can expect that she will have put much less capital aside for this purpose. But how much capital is really needed? All three plans foresee a total of €100 million in commitments, but the resulting peak NAV exposures are reached later, and these maxima vary in size. Which pacing plan would we prefer? Plan 1 looks obvious, but this overlooks an important constraint: the liquidity needed to honour the funds' capital calls in time (see Figure 1.2).

FIGURE 1.1 Examples for commitment pacing strategies

FIGURE 1.2 Cash-flow J-curve

The cash-flow J-curve depicted in Figure 1.2 represents the evolution of the net cash flows from the LP to the funds. During the early years of a fund's existence, these cash flows are negative before making a U-turn to become positive in later years of the fund's life. The pacing model needs to reflect the liquidity constraints this J-curve implies to determine the appropriate timing and weighting of future commitments to new funds to keep the portfolio at or near its target allocation.

To phrase the commitment pacing problem differently, how could the insurer engineer reaching a target exposure as quickly as possible and minimise opportunity costs while respecting constraints? What makes this a complex undertaking is that not all resources allocated to private capital can be committed to funds right away, that not everything that is committed to funds is also invested in private assets, and that older funds have begun to return capital to the LP.

Significant allocations needed

A significant allocation is necessary for private capital to have an impact on the overall portfolio's returns. Assuming simplistically that private capital can outperform the public markets by about 500 basis points, at least 5% of the entire portfolio needs to be allocated to the asset class. Auerbach and Shivananda (2017) found that portfolios with higher shares of private investments – at least 15% – have outperformed portfolios with lower allocations. In fact, the late David Swensen suggested less than about 15% be difficult to justify.16 20% is consistent with average allocations for large US public pension funds.17

With such sizeable allocations, LPs are reaching the limits of rule-of-thumb-based portfolio management techniques. The practices that institutional investors have relied on up until now have been reflecting a less competitive past. Since then, LPs have been continuously improving their fund manager selection, due diligence, and structuring techniques; these skills are necessary but not sufficient for a sustainable and profitable investment programme. Structurally, private capital has become a much harder business, where the low-hanging fruits have been picked and investors cannot leave money on the table.

Allocation has two aspects: how does private capital fit within an overall asset allocation and how to build an intra-asset class diversification, i.e. a portfolio spread across funds? Private capital gives exposure to the real economy that usually shows little correlation with the traditional liquid public market assets. Traditionally, thinking about portfolio construction is anchored in the Efficient Market Hypothesis and Nobel laureate Harry Markowitz's Modern Portfolio Theory (MPT). But MPT makes assumptions that typically do not hold in private capital fund investing and provides no solutions for constructing portfolios of private capital funds.

Multi-asset-class allocations

The best-known allocation approach that is said to have embraced the principles of MPT, albeit in simplistic but robust way, is the ‘Yale model’, also known as the ‘endowment model’ of a multi-asset-class investment strategy.

It was pioneered by the Yale endowment's Dean Takahashi (whom we will meet again in the context of forecasting models) and David Swensen and is based on diversification across asset classes with dissimilar correlations to maximise risk-adjusted investment returns. This endowment model divides a portfolio into five or six roughly equal parts and invests each in a different asset class. The novelty of this approach was that liquidity is to be avoided rather than sought out, since it comes at a heavy price through lower returns and that it has a relatively high exposure to alternative asset classes, private equity, real estate, hedge funds, and natural resources, compared to more traditional portfolios.

Intra-asset-class diversification

According to MPT, risk-averse investors can construct an optimum portfolio that maximises expected returns for a given level of market risk. As markets are continuously in flux, what is an optimum portfolio is also changing. Therefore, investors need to periodically buy and sell assets to bring the portfolio's allocations back to the optimum. Updating the optimisation and rebalancing is a constant and ongoing process.

For portfolios of funds, under simplifying assumptions, it may be possible to define an optimum, but the instant criticism is that such a plan will be impossible to implement: the deals foreseen are not accessible at the time, the quality of available opportunities is not right, or funds raised by firms with whom relationships are to be maintained do not come to the market at the right time.

Therefore, commitments to funds tend to be suboptimal from a portfolio management perspective, and once they had been taken, they are practically irreversible. Due to the illiquidity of private assets, LPs cannot rebalance their portfolios. Decisions that may have been optimal in a stable and predictable environment can be detrimental in the changing environment of private markets characterised by uncertainty.

ENGINEERING A RESILIENT PORTFOLIO

For illiquid private assets, a portfolio needs to be resilient, to meet objectives without having to rebalance, and to be able to recover and bounce back after shocks in the economy. LPs need to find a balance between resilience and efficiency. If a system, in our case a portfolio, is not resilient, it could collapse rapidly; if it is inefficient, it will with certainty die gradually. To build a resilient portfolio, LPs need to forecast and assess how it will behave under the typical market conditions and how it responds to various stress scenarios.

Here, actions chosen cannot be guaranteed to lead to the intended results. Instead, risks are addressed through applying experience in the form of engineering principles as accepted basic truths that explain how private markets work. Examples for such principles are giving funds a time-proven structure, i.e. the limited partnership, selecting competent and trusted fund managers, to be flexible in identifying opportunities and assure quick reaction to changing market conditions, and provide them proper incentives and align their interests with those of their LPs. Another important engineering principle is that LPs need to build efficiently diversified portfolios of funds where ‘big hits’ compensate for the unavoidable underperformers.

The academic literature on building portfolio of private capital funds remains sparse. Most work on this subject is still done by practitioners at various specialist asset managers. Also, the modelling of securitisations of private equity fund portfolios through the so-called ‘collateralised fund obligations’ (CFOs) is highly relevant to this subject. These securitisations are probably the most practical route to liquidity, to overcome the limitations of secondary markets, and to address risk measurement. CFOs are regularly analysed by rating agencies, but they are complex to model.

LPs manage the efficiency of their portfolios through various levers. Traditionally, the ability to pick top funds is perceived to have the strongest impact. A lot has been written on this subject already; however, with no silver bullet found. Relevant for this book are tools like building portfolios where diversification offers protection for the lowest cost, i.e. a minimum number of funds, a cash management that minimises opportunity costs for uncalled and uncommitted capital, and over-commitments to leverage the resources available for commitments.

The private capital industry is to a large degree organised around decentralised decision-making. Decentralisation uses funds as intermediaries, to allow faster growth of portfolios and wider diversification, also in regard to decision-making. Here, LPs balance between resilience and efficiency, whereas GPs can focus on efficiency and are incentivised accordingly. The often-surprising resilience of private capital fund investment programmes even during economic downturns may also come from LPs being forced to cling on to their commitments. Fund managers are committed to their portfolios of private assets by virtue of being repeat players in the market and the need to preserve their reputation.

ORGANISATION OF THE BOOK

So far little has been written on commitment pacing, and this process is not very well known outside the institutional investment world.18 It is mainly practitioners coming up with techniques, but simplistic approaches are still the norm.19 Pacing tools are typically in-house built applications and comprise the following main components:

A forecast model for the funds' cash flows;

A portfolio model that describes how the funds interact;

A market model that provides realistic and specific assumptions for the funds' expected performance;

An investor model that captures the LP's fund-selection skills.

Depending on the use case, commitment pacing relates to a short-term (monthly or quarterly), medium-term (semi-annually or one year), or long-term (annual or spanning several years) time horizon. The major use case is the ‘glide path’ describing how the portfolio of existing funds will develop over the medium term. A long-term-oriented use case is to set the ‘flight path’ for maintaining exposure by adding new commitments. The main use case over the short term is to determine the probability density function for the portfolio's cash flows as basis for the management of treasury assets.

Exposure

LPs commit to funds that are ‘blind pools’, i.e. the fund initially holds no portfolio of private assets. In the case of traditional asset classes, capital is put to work immediately, but in the case of commitments to funds, the ‘true’ investments into private assets follow, usually with a significant delay. During the fund's early years, this portfolio is insignificant compared to the undrawn commitments. What is then the LP's ‘exposure’?

One view is to only consider the investments into private assets as exposure. On the other hand, the committed capital is what the LP puts at stake over the fund's lifetime. Therefore, an alternative perspective is to consider the undrawn commitments as a significant liability for the LP to cover when called and thus part of an exposure to manage.

Forecast modelling

The basis for commitment pacing and for assessing the impact of potential new deals in the pipeline on an existing and planned portfolio is a model that forecasts how much and when capital is called by the funds and when and how much they will be repaying it.

Aalberts et al. (2020) expressed surprise when observing that after decades of booming private equity markets, the literature on cash-flow modelling for funds has ‘remained sparse’. To this day, LPs interested in forecasting their exposure to private assets and their liquidity needs mainly revert to the model proposed by the Yale Investments Office's Dean Takahashi and Seth Alexander.20 It is also often called the ‘Yale model’ but in the following will be referred to as the Takahashi–Alexander model (TAM).21

Models are built by looking for and identifying variables that offered some predictive value. The major predictive value is the lifecycle characteristics of the fund. With the TAM, we can model the stylised pattern of capital calls, value creation, and distributions for primary, secondaries, and co-investments. This model has been tried and tested over many years, in various economic environments and geographical settings. It was found to stack up well against more complex approaches. The TAM's main advantage is that its logic is simple to understand, so that analysts and decision-makers intuitively trust its results.

Private market data

Commitment pacing requires meaningful assumptions regarding performance expectations. Data that reflect a risk profile similar to the funds to be modelled are provided by a number of commercial private market data providers. However, model outputs can only be as good as its inputs; in other words, it is ‘Garbage-In-Garbage-Out’. While private market data suffer from a range of deficiencies they are all we have. Models are, therefore, rather constructed as ‘Uncertainty-In-Stress-Out’, with stresses applied to the model outcomes and the lack of complete and reliable data being mitigated through judgement in the form of qualitative parameters.

Augmentations of the TAM

The forecasting models presented in this book, the A1*TAM and A2*TAM, are augmentations of the TAM for producing stochastic cash-flow scenarios for funds that are, however, reconcilable with the expected cash flows and NAVs forecasted by the simple original TAM.

The precise timing and amount of cash flows is unpredictable, but their stochastic properties, such as expectations, frequency, and volatility, can be modelled through the A2*TAM. This model provides more granularity, i.e. it does not just consider annual cash flows but quarterly and monthly, as needed, as well as offering more differentiation between the various types of cash flows.

Avenues into private capital

There are various avenues into private market relevant for institutional investors. Cash-flow models need to differentiate between primary fund investments, secondaries, and co-investments – all of these have highly idiosyncratic cash-flow patterns. We assume that institutional investors will delegate secondaries and other more complex strategies like co-investments to specialist fund managers. The TAM and its augmentations can capture these dynamics, and a portfolio model is super-positioning such funds' cash-flow patterns.

Diversification

Diversification is the LP's main control for resilience and efficiency, and therefore, this will be looked at in detail. Most LPs do not look beyond the number of funds to commit to in each vintage year when looking at their intra-asset-class diversification.22 However, this is just giving an incomplete picture.

Apart from the vintage year spread, geographies and sectors are viewed as key to a well-balanced portfolio. A portfolio model, therefore, needs to capture similarities of funds across these dimensions and the resulting dependencies in their behaviour. A high degree of diversification also smooths the cash flows and, thus, can mitigate the risk that the LP's funding needs overshoot.

However, diversification in private capital is expensive. Due diligence, legal expenses for structuring, fees, and incentive compensation are typically substantially higher than in portfolios of publicly traded assets. Back-office operations also require additional systems and resources because reporting and data collection is not standardised in the same manner as for public securities. The impact of these costs put limits on efficient diversification for smaller allocations to private capital. This is of course not the full story as larger LPs need to commit more than a theoretical optimum number of funds could possibly absorb.

Model input data

Diversification for managing risk is mainly a protection against lack of knowledge. The near perfect data we are used to from public markets do not exist for private markets. We need to work with the data we have, but we should not be discouraged by their absence. A lack of widely available data in private markets is an advantage to those who can merge information from various sources and apply judgement to their interpretation. Judgement in the form of a qualitative scoring plays a strong role in a fund rating methodology.

Fund rating/grading

Many research findings suggest that, unlike many other asset classes, the performance of a superior private equity manager dominates all other criteria. Outcomes materialise only over the long term and are highly uncertain. Therefore, the link between risk and return ex ante is unclear and controversial, with deal makers being most vocal in the discussion and convinced that their latest proposal is ‘top quartile’. Within an appraised asset class valuations are highly subjective, and the ability to pick winners, i.e. funds that outperform their peer group, depends on judgement and experience as well.

Moving away from a general assumption of ‘institutional quality’ of GPs, fund ratings can refine forecasts based on what is known on the fund, its managers, and the private assets it holds. This fund rating, here referred to as ‘fund grading’, evaluates the compliance with engineering principles that based on experience should be respected. It additionally measures deviations of the individual fund's development against the average development of its aggregated peer group of funds with similar characteristics.

This grading technique uses qualitative as well as quantitative inputs to categorise funds according to their expected performance and their risk. A scoring can be forward looking and is particularly important if no reliable data are available. With increasing fund age and information on the fund's investments becoming available, quantification becomes more relevant compared to the qualitative scoring.

For LPs that are convinced of their selection skills, it is rational to forgo diversification and aim for a highly concentrated portfolio. The question is how much better in selection have LPs to be to justify ignoring diversification. The impact of the LP's assumed selection skills can be assessed through the grading technique as well.

Bottom-up forecasting models

The forecasting models introduced are top-down and could arguably ignore inside information on the fund. Pure bottom-up forecasting models that can capture such details, on the other hand, cannot be maintained as the regular data collection is too cumbersome to do this often enough. The way out of this dilemma is to improve top-down models in those exceptional situations where superior insights are available through so-called ‘overrides’.

Commitment pacing

Funds are self-liquidating, so LPs must actively build and maintain a desired level of their exposure. Commitment pacing needs to consider various factors: the composition of the existing portfolio, the current allocation in a multi-asset context, the allocations and compositions to be targeted going forward, the current deals identified and under evaluation, the LP's risk appetite, and the assessment of scenarios for potential for market downturns.

A pacing plan needs to meet several other objectives and constraints: it should not lead to liquidity shortfalls caused by capital calls that exceed what the LP has reserved for this purpose, and the plan should assure diversification, notably over vintage years, strategies, and fund management firms, in line with the portfolio's target risk profile.

Stress scenarios

Stress scenarios address potential model failure, uncertainty in data, and prudence. The burst of the dot-com bubble, the Great Financial Crisis from 2007 to 2009, and COVID-19 created the fear that ‘this time it is different’. Essentially, we are forecasting the past; in other words, we are basing our assessment of what will happen in the future on what has happened before. A market model answers the question which historic vintage years are most representative for the situation to be assessed?

Models can provide useful insights but will be sensitive to the underlying assumptions that may create a false sense of certainty. Institutional investors will be concerned and ask what will happen if we have another global economic crisis? What if there is another pandemic? It is good practice to model uncertainty by adding stresses to the commitment pacing model.

Let us start

Most of commitment pacing's technical complexity is caused by the fact that institutional investing in private capital is intermediated through funds structured as limited partnerships, which have been criticised as ‘archaic’ and ‘spectacularly ill-suited’ for long-term investing.23 As we will discuss in the following chapter, nothing could be further from the truth, and limited partnership funds are the time-proven structure of choice for long-term investing under extreme uncertainty.

NOTES

1

.  See

https://www.preqin.com/academy/lesson-2-private-capital/what-is-private-capital

, [accessed 13 March 2023]

2

.  For more details, particularly on limited partnership funds, see Meyer (

2014

).

3

.  See also

Glossary

and

Abbreviations

for additional definitions.

4

.  See Gottschalg (

2021

).

5

.  See Teitelbaum (

2018

).

6

.  See Plender (

2023

).

7

.  See Taleb (

2007

).

8

.  See Knight (

1921

).

9

.  The Economist ‘Once burnt, still hopeful’. 25 November 2004.

10

. See Meyer (

2014

).

11

. ‘Hedge funds are typically open-ended investment funds with no restrictions on transferability. Private equity funds, on the other hand, are typically closed-ended investment funds with restrictions on transferability for a certain time period.’ See

https://corporatefinanceinstitute.com/resources/equities/private-equity-vs-hedge-fund/

, [accessed 14 March 2023]

12

. See Cornelius et al. (

2013

).

13

. Mende et al. (

2016

) estimated that merely 1.5–2.0% of commitments made to funds in 2001–2005 had translated into secondary transactions. By 2015, this conversion rate had reached approximately 6.2%. According to Auerbach and Shivananda (

2017

), between 2002 and 2016, the secondary transaction volume averaged between 1.6% and 8.4% of primary fund commitments.

14

. ‘Simulations by BlackRock showed that a co-investment allocation of 20% to 30% can shorten the J-curve by 12–18 months.’ See

https://www.tfoco.com/en/insights/articles/coinvesting-in-private-equity#

, [accessed 10 March 2023]

15

. See

https://www.cfainstitute.org/en/membership/professional-development/refresher-readings/asset-allocation-alternative-investments

, [accessed 31 December 2023]

16

. See Swensen (2009).

17

. See Brown et al. (

2021

).

18

. See

https://analystprep.com/blog/financial-models/

, [accessed 23 June 2022]

19

. See Jeet (2020), Pangburn and Green (

2021

), PitchBook (

2020

), Pazzula (

2021

), and Saket (

2022

).

20

. See, for example, Burgiss blog, ‘Best Practices: Creating Scenarios and Analyzing the Takahashi–Alexander Forecast Model Results’. July 2021.

https://www.burgiss.com/best-practices-using-takahashi-alexander

, [accessed 3 August 2022], Lenz et al. (

2018

), Jeet (2020), and Karatas et al. (

2021

)

21

. See Takahashi and Alexander (

2002

). Note that several authors, for example Fraser-Sampson (2006), mean the multi-asset-class investment strategy pioneered by the Yale endowment's David Swensen (see Swensen,

2000

) when they confusingly also refer to the ‘Yale model’.

22

. See Brown et al. (

2021

).

23

. See Love (

2009

).

CHAPTER 2Institutional Investing in Private Capital

The organised market for private capital is dominated by funds as principal financial intermediary. In fact, McKinsey (2020) defines private markets in general as closed-ended funds, as well as related secondaries and funds of funds (FOFs). These funds are structured as limited partnerships with a contractually set lifetime.

Funds fulfil several functions. They allow the pooling of capital for investing in private assets, such as start-up companies, real estate objects, airports, etc., and delegating the investment process to fund managers with significant experience and the proper incentives to screen, evaluate, and select potential companies with expected high growth opportunities.

Fund managers have the necessary expertise to finance, for instance, companies that develop new product and technologies and to foster their growth and development by controlling, coaching, and monitoring these companies' management. Finally, the fund managers source exit opportunities and realise capital gains on disposing portfolio companies.

LIMITED PARTNERSHIPS

Funds in a private market context are usually set up as an asymmetric limited partnership. Here, institutional investors are the fund's ‘limited partners’ (LPs) who commit a certain amount to the fund and do not take an active role in its management. In this book, LPs are referred to as the institutional investors that provide the capital for commitments to private capital funds. To avoid the potentially significant liabilities, the LPs relinquish their ability to manage the business in exchange for limited liability for the partnership's debts. Also, regulatory and taxation-related requirements drive the structuring of these investment vehicles.