Reaching for Yield

Reaching for yield is the empirical phenomenon that low risk-free interest rates increase investors’ appetite for risk-taking. Lian, Ma, and Wang ($2019$) document the effect cleanly using a randomized experimental design in which the risk premium and the Sharpe ratio of the risky asset are held fixed and only the risk-free rate is varied. Standard expected-utility theory with decreasing absolute risk aversion predicts the opposite — investors should hold less of the risky asset when rates are low because they are effectively poorer. The data show the opposite, with allocations to the risky asset roughly $8$ percentage points higher in the low-rate condition.

The benchmark experiment. Subjects are randomly assigned to one of two conditions:

• High rate: safe asset $5\%$, risky asset average $10\%$ with $\sigma =18\%$.
• Low rate: safe asset $1\%$, risky asset average $6\%$ with $\sigma =18\%$.

The risky asset’s risk premium is $5$ percentage points and its Sharpe ratio is identical in both conditions. The standard mean-variance benchmark with constant risk aversion would predict identical allocations to the risky asset. The data show $\sim 8$ pp higher allocations in the low-rate condition.

Three samples confirm the pattern. The effect appears in (i) hypothetical Mechanical Turk surveys, (ii) incentivized Mechanical Turk surveys (real money tied to investment payoffs), and (iii) incentivized Harvard Business School MBA experiments. The replication across populations of varying sophistication and stakes-level rules out an artifact-specific interpretation. The Dutch consumer panel ($901$ households) replicates the effect in field-survey data.

Two complementary mechanisms.

1. Reference dependence (Prospect Theory). Investors form a reference rate (the rate they expect to earn or have historically earned). When the risk-free rate falls below the reference rate, investors experience the safe asset as a loss relative to the reference. They become willing to accept the risky asset’s variability to escape the certain loss. The mechanism predicts non-linearity (effect strongest just below the reference) and history dependence (the reference rate depends on past rate experience).
2. Salience and proportional thinking (Bordalo-Gennaioli-Shleifer). The attractiveness of the risky asset depends on the ratio of returns: $6\%$ relative to $1\%$ ($6\times$) feels more attractive than $10\%$ relative to $5\%$ ($2\times$), even though the excess return is identical at $5$ pp. The mechanism predicts that gross-return framing (which removes the ratio salience) should weaken the effect, and the data confirm: gross-return framing dampens reaching for yield.

Empirical separability of the two mechanisms. The two mechanisms make distinguishable predictions in additional tests. Non-linearity (Test 1): allocations vary non-linearly with the rate, consistent with both mechanisms. History dependence (Test 2): subjects experiencing high-rate then low-rate exhibit much stronger reaching-for-yield in the low-rate condition than subjects experiencing low-rate then high-rate. This is a clean prediction of reference-dependence — the previously-experienced higher rate becomes the reference point. Gross-return framing (Test 3): the effect is dampened, supporting salience. The full evidence supports both mechanisms operating jointly.

Macro-policy relevance. The low-rate environments of the post-$2008$ and post-COVID periods triggered widespread concern about a “risk-taking channel of monetary policy” (Bernanke $2013$; Stein $2013$; Rajan $2013$; Rosengren $2016$; Powell $2017$). The Lian-Ma-Wang results show that this channel operates at the individual investor level, not just through institutional friction. Low rates increase risk-taking by retail investors and, through them, push prices of risky assets higher than fundamentals justify.

Intuition

The standard mean-variance investor maximizes $\mathbb{E}[r_p]-(\gamma /2)\text{Var}(r_p)$ where $r_p=r_f+\varphi (r-r_f)$ is the portfolio return and $\varphi$ is the share allocated to the risky asset. The optimal allocation is
${\varphi }_{mv}^{\ast }=\frac{\mathbb{E}[r-r_f]}{\gamma \text{Var}(r-r_f)}.$
This is independent of the risk-free rate $r_f$ — only the excess return and variance of the risky asset matter. Holding the excess return and variance constant, the allocation should be the same regardless of whether $r_f$ is $1\%$ or $5\%$.

The standard alternative refinement — decreasing absolute risk aversion (DARA), under which the investor becomes less risk-averse as wealth rises — predicts that allocation rises with $r_f$ because higher rates make the investor effectively wealthier. This prediction goes the opposite direction from reaching for yield. Combining the standard mean-variance baseline with DARA, the prediction is unambiguously that allocations should rise (or at least not fall) as $r_f$ rises.

The data show the opposite. Holding excess returns fixed, allocations are substantially higher when $r_f$ is low. This is a clean violation of the standard mean-variance framework that requires a behavioral explanation. The Lian-Ma-Wang paper proposes two: reference dependence and salience. Both are independently documented in other contexts; reaching for yield is the application of those mechanisms to portfolio allocation under interest-rate variation.

The two mechanisms produce overlapping predictions but separate-able signatures. Reference dependence predicts that allocations should depend on the historical or expected reference rate, which produces history dependence (allocations in the low-rate condition are higher when subjects have just come from a high-rate condition, because the high rate becomes their reference). Salience predicts that allocations should depend on the ratio of risky to safe returns, which produces framing-sensitivity (gross-return framing reduces the salience and weakens the effect). Both predictions are confirmed in additional experiments, supporting joint operation of both mechanisms.

Children

• 8.15.1. Reference Dependence in Reaching for Yield — the Prospect-Theory mechanism: investors form a reference rate and experience low rates as a loss; the risky asset’s variability becomes more attractive when the safe rate falls below the reference.
• 8.15.2. Salience and Proportional Thinking in Reaching for Yield — the Bordalo-Gennaioli-Shleifer salience mechanism: the ratio of risky to safe returns becomes salient at low rates, increasing the perceived attractiveness of the risky asset.

See Also

• 8.5. Prospect Theory — the loss-aversion framework that supports the reference-dependence mechanism.
• 8.5.1. Prospect Theory — the underlying value-function machinery.
• 8.10. Behavioral Household Finance — household-finance hub; reaching for yield is one of the household-finance puzzles.
• 8.6.7. Extrapolative Beliefs — alternative behavioral mechanism that also generates risk-taking variation; less directly tied to interest-rate level.
• 8.13. Behavioral Corporate Finance — companion hub; corporate-finance analogues of investor risk-taking patterns.
• 8. Behavioral Finance — top-level hub.