We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of price probability and VaR assessments. We introduce...

This paper discusses the value-at-risk (VaR) concept and assesses the financial adequacy of the price probability determined by frequency of trades at price p. We take the price definition as the ratio of executed trade value to volume and show that it leads to price statistical moments, which...

We study the behavior and interaction of systematic and idiosyncratic components of risk in a cross-section of U.K. stocks. We find no clear evidence of a trend in any component of total risk, but we document different “regimes” in the behavior of each component of total risk, in their...

We consider the core problems of the conventional value-at-risk (VaR) based on the price probability determined by frequencies of trades at a price p during an averaging time interval Δ. To protect investors from risks of market price change, VaR should use price probability determined by the...

I develop a search-and-bargaining model of endogenous intermediation in over-the-counter markets. Unlike the existing work, my model allows for rich investor heterogeneity in three simultaneous dimensions: preferences, inventories, and meeting rates. By comparing trading-volume patterns that...

The theory of fair geometric returns, F theory for short, rejects the generally accepted notion that volatility is the risk of risky assets. Instead, it claims that capital market volatility, in turn, constitutes the maximum achievable geometric return. In order to get to the point, F theory, in...

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome this issue by adjusting portfolio allocations to hedge...

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome this issue by adjusting portfolio allocations to hedge...

The paper presents the unified theoretical description of three levels of the market-based statistical moments of “actual” returns, which Investors gain within their market sales. The market-based statistics of “actual” returns takes into account the size of the trade sale values,...

We describe three successive approximations of market-based statistical moments of “actual” return that investors gain within their market trade sales. We derive how the market-based statistical moments of “actual” return depend on the statistical moments of the sale values, the purchase...