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).](/cms/asset/309767da-ac51-4b46-b169-da69bf7a95e0/rero_a_1782245_f0001_c.jpg)
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 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.](/cms/asset/881b844e-29a0-4fdc-ba7d-ee4c5cc0423e/rero_a_1782245_f0002_b.jpg)
Figure 3. Graph of
This graph illustrates the decreasing function and the relationship between
and
Based on its definition,
should satisfy
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.](/cms/asset/1300735a-662b-42f8-956c-08af3fdea48a/rero_a_1782245_f0003_c.jpg)
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, is shown as a function of the aggregate proportion of exiting funds,
Here,
and
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.](/cms/asset/cee88e6a-e92b-40ca-bc43-54c017fd4086/rero_a_1782245_f0004_c.jpg)
Figure 5. The probability of a market run.
This graph shows the probability of a market run, as a function of the price sensitivity,
Each curve illustrates the function for a different level of market exposure
ranging from 0.2 to 0.9. Here,
and
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.](/cms/asset/a076270d-b3d0-4b56-b834-d6830e8bc664/rero_a_1782245_f0005_c.jpg)