Liquidity Effects and the Monetary Transmission Mechanism
📄 Summarized from the full manuscript · Human-reviewed for faithfulness before publication
In brief
Models of money and interest rates could explain why rates fall after an expansionary monetary shock, but not why they stay down. Christiano and Eichenbaum trace the gap to a flaw in their earlier model: households instantly rebalance cash after a shock, so the effect vanishes within one period. Adding a tiny cost to reorganizing money flows between households, firms, and banks fixes this -- the calibrated cost equals about three minutes of work per quarter. With that friction, a money shock produces a liquidity effect, and a rise in output and employment, that persist for many periods -- showing monetary policy can move the economy longer than theory predicted.
What this paper finds — and why it matters
Christiano and Eichenbaum confront a specific shortcoming of the general-equilibrium “liquidity effect” models that had recently been developed to explain why an expansionary monetary shock drives down interest rates and raises output and employment: those models (including the authors’ own 1991 model) can generate a liquidity effect on impact, but it dies out almost immediately, whereas the empirical evidence points to effects that persist for many periods. Working with a simplified version of their 1991 model – households, goods-producing firms, and financial intermediaries, with a rigidity that prevents households from adjusting their cash allocation to the current period’s money shock – the paper shows that once this model is modified to allow for extremely small costs of adjusting sectoral flows of funds between the household, firm, and financial sectors, positive money shocks generate liquidity effects, and increases in output and employment, that are both quantitatively significant and persistent. The key quantitative result is that the adjustment costs needed to generate this persistence are tiny: at their maximum, the model implies households spend only about 0.0133% of steady-state hours – roughly three minutes in the quarter after the shock – reorganizing financial flows, which the authors read as evidence that only trivially small frictions in financial-flow adjustment are needed to reconcile general-equilibrium liquidity models with the data’s persistence.
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Questions & answers
Q1. What empirical regularity is the paper trying to explain, and why do earlier models fall short?
The paper opens by noting that “existing quantitative general equilibrium models, which allow capital accumulation, are inconsistent” with the “conventional wisdom” that “an expansionary monetary policy disturbance generates a persistent decrease in interest rates and a persistent increase in output and employment,” and that while a newer class of models (including the authors’ own Christiano and Eichenbaum 1991) can rationalize the contemporaneous response of interest rates, output, and employment to a money shock, “a key shortcoming of these models is that they cannot rationalize persistent liquidity effects.” The paper cites a shift in the empirical literature (Bernanke and Blinder 1990; Christiano and Eichenbaum 1991 and forthcoming; Strongin 1991; Eichenbaum forthcoming; Sims forthcoming) away from identifying monetary policy shocks with innovations in broad monetary aggregates like M1, on the grounds that such innovations largely reflect money-demand rather than money-supply shocks – a shift that, the authors argue, “provides strong empirical evidence in support of the conventional view” that motivates the paper’s theoretical exercise.
Q2. How does the model generate a liquidity effect at all, and why does the basic version fail to make it persistent?
In the model, households allocate a fraction Q of their beginning-of-period money stock to consumption purchases before the current-period money shock is realized, while the rest is lent to financial intermediaries, who in turn lend it to firms needing working capital; because this allocation “is not a function of the period t realization of monetary policy,” a positive money shock is absorbed disproportionately by the financial-intermediary/firm sector rather than by households, which is what forces interest rates down to induce firms to absorb the extra liquidity (“the basic liquidity model”). However, the authors show that in this basic version, “households face zero costs of adjusting sectoral flows of funds over different periods of time,” so “all flows are instantly adjusted in the period after a monetary disturbance,” meaning “the liquidity effects generated by the model are purely transitory” – the central problem the rest of the paper sets out to fix.
Q3. What specific modification generates persistence, and how large does the implied adjustment cost need to be?
The paper introduces a small resource cost of reorganizing financial flows, modeled as the fraction of agents’ time (Ht) spent adjusting Q toward its new desired level, with a convenient functional form chosen “to investigate the potential of [this] mechanism for generating persistence effects” rather than to model the underlying adjustment technology explicitly (“explicitly modeling the costs involved in adjusting Qt is obviously not easy”). The key quantitative finding is that the needed cost is minuscule: “the maximal value of Ht occurs… at 0.0133 percent of steady-state hours worked,” which, taking steady-state hours worked as roughly 320 per quarter (the postwar U.S. sample average), “translates into a loss of [about] three minutes [in] the quarter after the shock” – leading the authors to conclude that “only… small costs of adjusting sectoral flows of funds are needed to generate substantial persistent liquidity effects.”
Q4. What do the basic cash-in-advance (CIA) model and the basic liquidity model predict differently about the response to a positive money shock, and why?
In the basic CIA model, where households’ cash allocation Q can respond immediately to the current money shock, a positive shock is neutral in its real effects: it simply produces “a proportional jump in current and future prices and wages, leaving all other variables unaffected,” and because Q responds positively to the shock, interest rates must actually rise (not fall) to induce financial intermediaries and firms to absorb a disproportionate share of the new cash – driving employment, consumption, and output down, “just the opposite of the conventional view.” In sharp contrast, the basic liquidity model (where Q cannot respond within the period) implies the interest rate Rt and investment It fall on impact while consumption Ct and hours Lt rise in response to a positive money shock, because the fall in Rt shifts labor demand to the right while the rise in Ct shifts labor supply to the left, both increasing hours worked and output – the pattern the paper identifies with the “conventional view” the empirical literature it cites supports.
Q5. What do the model’s impulse responses imply about the dynamics of the system after a persistent liquidity effect is generated, and how does this compare to the basic models?
With the small adjustment cost in place, on impact the system’s response is identical to the basic liquidity model, but because “the percentage of the money stock absorbed by financial intermediaries and firms remains high for many periods after the money shock,” the interest rate reverts to its steady-state value only slowly as households gradually adjust Q, so consumption rises slowly to its steady-state level while investment declines gradually to its own steady-state level, and – because a persistently high interest rate continues to depress labor demand – hours worked and the real wage stay low, and the marginal cost of hiring labor stays high, for an extended period after the shock, rather than reverting within a period or two as in the basic liquidity model.
Q6. What future research directions and predictions does the paper flag as not yet tested?
The central untested prediction the paper highlights is that “a proportionately large share of money injections is absorbed by firms [to] finance variable inputs”; the authors note they are pursuing this test “in joint work with Chari [and] Evans… using flow of funds data” to trace where injected money actually goes in the economy relative to this model’s prediction. On the welfare side, the paper states that “consistent with results in Fuerst (forthcoming), optimal monetary policy [in] our models does not [correspond to] the zero-nominal-interest-rate rule advocated by Milton Friedman (1968),” because in this class of models the monetary authority can redirect cash to the financial sector via open-market operations more quickly than private agents can achieve the same reallocation through adjusting their own nominal saving decisions – a friction advantage for the central bank, relative to private agents, that the authors argue would make it welfare-improving to let the money supply respond to unanticipated changes in real production opportunities (e.g., technology shocks), a pattern they liken to an interest-rate-smoothing rule “of the sort allegedly pursued by the Federal Reserve Board in different subperiods of the postwar era.”
Key terms in this paper
Definitions below follow the paper's own usage.
- Liquidity effect
- the short-run fall in nominal (and, in these models, real) interest rates following an expansionary money-supply shock, generated in this class of models by a rigidity that prevents the recipients of the shock's absorbing sector (financial intermediaries and firms) from being exactly offset by an equal, instantaneous increase in household cash demand; distinguished throughout the paper from the "conventional wisdom" that this fall in rates is also *persistent*, which is the property the basic liquidity model fails to generate and this paper's extension restores.
- Q (the household's pre-shock cash allocation)
- the fraction of a household's beginning-of-period money stock allocated to consumption-goods purchases, chosen before the current period's money-growth shock is realized ("not a function of the period t realization of monetary policy"); the model's central friction is that Q only adjusts gradually, at a small resource cost (parameterized via Ht, the fraction of time spent reorganizing financial flows), toward its new desired long-run level after a shock.
- Persistent liquidity effect via small adjustment costs
- the paper's key quantitative result -- that introducing only a very small cost of adjusting sectoral flows of funds (at most about 0.0133 percent of steady-state hours worked, "a loss of three minutes" per quarter) is sufficient to turn the basic liquidity model's purely transitory interest-rate and output response into one that persists for many periods after the shock, closely matching the "conventional" empirical pattern the paper sets out to rationalize.