This note develops the solutions of the static portfolio optimization problem in explicit matrix form. Three cases are contemplated and connected, with the derivation of relevant corner solutions: the unconstrained problem in the presence of risky assets only, the constrained one, and the...

This note develops the solutions of the static portfolio optimization problem in explicit matrix form. Three cases are contemplated and connected, with the derivation of relevant corner solutions: the unconstrained problem in the presence of risky assets only, the constrained one, and the...

After taking into account biases induced by infrequent trading and selection, it is unlikely that illiquid asset classes have higher risk-adjusted returns than traditional liquid stock and bond markets. On the other hand, there are significant illiquidity premiums within asset classes. Portfolio...

We develop a dynamic valuation model of private equity (PE) investments by solving the portfolio-choice problem for a risk-averse investor (LP), who invests in a PE fund, managed by a general partner (GP). Key features are illiquidity, leverage, GP value-adding skills (alpha), and compensation,...

We develop a dynamic valuation model of private equity (PE) investments by solving the portfolio-choice problem for a risk-averse investor (LP), who invests in a PE fund, managed by a general partner (GP). Key features are illiquidity, leverage, GP value-adding skills (alpha), and compensation,...

For years, research has been conducted to correctly model and predict the risk and return structures of Private Equity (PE) funds. Although past research has revealed valuable insight into the features of those funds, most risk and return model struggle with the dispersion of PE funds' returns,...

We develop a dynamic valuation model of private equity (PE) investments by solving the portfolio-choice problem for a risk-averse investor (LP), who invests in a PE fund, managed by a general partner (GP). Key features are illiquidity, leverage, GP value-adding skills (alpha), and compensation,...

The study tries to practically use the widely taught Capital Asset Pricing Model (CAPM) model for making investment decisions on Bombay Stock Exchange (BSE) –500 Index. Using CAPM, the study tries to investigate whether securities on BSE 500 are over-valued, properly valued or under-valued....

We provide first empirical evidence of the long-term realized performance of alternative beta strategies. Despite diversified risk premia portfolios achieving satisfactory Sharpe ratios of 0.80 – 1.07 over the past decade, we show that up to two thirds of the performance can be explained by...

Structure and stability of private equity market risk are still nearly unknown, since market prices are mostly unobservable for this asset class. This paper aims to fill this gap by analyzing market risks of listed private equity vehicles. We show that aggregate market risk varies strongly over...