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Articles

Hedge fund market runs during financial crises

, ORCID Icon, ORCID Icon & ORCID Icon
Pages 266-291 | Received 13 Jan 2020, Accepted 09 Jun 2020, Published online: 04 Sep 2020

Figures & data

Figure 1. Fraction of U.S. stock market capitalization held by hedge funds.

The shaded areas are the quarters around the Quant Meltdown (2007:Q3–Q4) and Lehman Brothers’ bankruptcy (2008:Q3–Q4).

Source: Ben-David, Franzoni, and Moussawi (Citation2012).

Figure 1. Fraction of U.S. stock market capitalization held by hedge funds.The shaded areas are the quarters around the Quant Meltdown (2007:Q3–Q4) and Lehman Brothers’ bankruptcy (2008:Q3–Q4).Source: Ben-David, Franzoni, and Moussawi (Citation2012).

Figure 2. Time schedule.

This graph summarizes the time schedule of the players and the change in the market price over time.

t0: Market price P0 is at the fundamental price P.

t1: Each fund manager receives capital from investors and determines the proportion of risky asset xi and cash ci. Additionally, the market price diverges from the fundamental price P; P1 = 1 = Ps + fx, where s is the impact of the negative price shocks.

t2: Each fund manager decides whether to stay or exit. Then, fund investors observe λ and withdraw a proportion of λ from each fund. λ implies the proportion of defaulting and exiting funds.

t3: Market price P3 converges to the fundamental price P.

Source: The Authors.

Figure 2. Time schedule. This graph summarizes the time schedule of the players and the change in the market price over time.t0: Market price P0 is at the fundamental price P.t1: Each fund manager receives capital from investors and determines the proportion of risky asset xi and cash ci. Additionally, the market price diverges from the fundamental price P; P1 = 1 = P–s + fx, where s is the impact of the negative price shocks.t2: Each fund manager decides whether to stay or exit. Then, fund investors observe λ and withdraw a proportion of λ from each fund. λ implies the proportion of defaulting and exiting funds.t3: Market price P3 converges to the fundamental price P.Source: The Authors.

Figure 3. Graph of V.(x,λ)

This graph illustrates the decreasing function V(x,λ) and the relationship between π and λd. Based on its definition, λd should satisfy λd=V(x, λd).

Source: The Authors.

Figure 3. Graph of V.(x,λ)This graph illustrates the decreasing function V(x,λ) and the relationship between π and λd. Based on its definition, λd should satisfy λd=V(x, λd).Source: The Authors.

Figure 4. Net investment return from staying rather than exiting the market.

The net investment return from staying rather than exiting the market at t, ΔΠ¯, is shown as a function of the aggregate proportion of exiting funds, λ. Here, f=4, s=8, τ=0.3, and x=0.71644.

Source: The Authors.

Figure 4. Net investment return from staying rather than exiting the market.The net investment return from staying rather than exiting the market at t, ΔΠ¯, is shown as a function of the aggregate proportion of exiting funds, λ. Here, f=4, s=8, τ=0.3, and x=0.71644.Source: The Authors.

Figure 5. The probability of a market run.

This graph shows the probability of a market run, prun, as a function of the price sensitivity, τ. Each curve illustrates the function for a different level of market exposure x, ranging from 0.2 to 0.9. Here, f=4 and s=8.

Source: The Authors.

Figure 5. The probability of a market run.This graph shows the probability of a market run, prun, as a function of the price sensitivity, τ. Each curve illustrates the function for a different level of market exposure x, ranging from 0.2 to 0.9. Here, f=4 and s=8.Source: The Authors.