Financial Cycles with Heterogeneous Intermediaries by N. Coimbra & H. Rey Ambrogio Cesa-Bianchi (BoE and CfM)1

May 26, 2016 CCBS Conference (BoE) 1

The views expressed here are solely those of the author and should not be taken to represent those of the Bank of England. 1

Some questions at the heart of the policy debate

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How does the financial sector respond to changes in funding conditions?

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Do differences in the risk attitude of financial intermediaries matter for the transmission of shocks?

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Does easing monetary policy increase the aggregate level of risk-taking in an economy?

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This paper tries to answer these important questions with a novel modelling approach

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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How does it do it?

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Ingredients Continuum of financial intermediaries, heterogeneity in their Value-at-Risk

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Mechanism Moral hazard friction (due to limited liability) that leads to a risk-taking channel

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Testable implications Behavior of leverage (also in the cross-section)

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Ambitious paper, a big step forward for the analysis of the relation between monetary (macro?) conditions and financial intermediaries

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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My discussion

1. Monetary policy 2. Model predictions & Empirical evidence 3. The role of uncertainty 4. Lessons for policy

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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1. Monetary Policy I

Model is real •

Not a big deal, the mechanism is likely to go through in a richer model with nominal rigidities

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Question What is special about monetary policy for the mechanism uncovered in the paper?

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It seems that any shock that moves funding costs will create a shift in risk taking behavior • •

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Example in the paper: negative productivity shock Fall in funding cost leads increase in risk taking

So, why the focus on monetary policy? [More on this later]

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence

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The model has some stark predictions about the behavior of leverage (also in the cross-section)

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When real funding costs fall • •

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Aggregate leverage ↑ Skewness of leverage in the cross-section ↑

Authors provide some time series evidence. Some quibbles.

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence (a) Should use real rate (rather than Fed Funds) for consistency with the model 20 Fed Funds 1YR Real Rate 15

10

5

0

−5 1970

1977

1984

1991

1998

2005

2012

1Y R Real Rate is defined as the 1YR Nominal Treasury Yield minus the median expected inflation (1-year ahead) from U. Michigan. Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence (b) What leverage? Not clear from the text, but very important as leverage can widely differ for different intermediaries [Adrian and Shin, 2010] (a) Commercial Banks

(b) Broker dealers 40

5

Total Asset Growth (Percent Quarterly)

Total Asset Growth (Percent Quarterly)

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4 3 2 1 0 -1 -2

30

20 10

0 -10

-20 -30

-50

-40

-30

-20

-10

0

10

20

30

40

50

Leverage Growth (Percent Quarterly)

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

-50

-40

-30

-20

-10

0

10

20

30

40

Leverage Growth (Percent Quarterly)

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2. Model predictions & Empirical evidence (c) Correlation between R and broker-dealer leverage is negative (in line with the model) Correlation

LEV BD

dLEV BD

LEV F DIC

dLEV F DIC

Fed Funds ∆ Fed Funds 1YR Nom. Rate ∆ 1YR Nom. Rate 1YR Real Rate ∆ 1YR Real Rate VIX ∆ VIX

-0.34 -0.06 -0.35 -0.08 -0.28 -0.07 -0.12 0.04

0.13 0.06 0.16 0.12 0.15 0.05 -0.24 -0.10

0.79 -0.02 0.79 0.02 0.78 0.01 0.00 0.02

0.01 -0.10 0.01 0.06 -0.03 0.05 0.08 0.32

LEV BD is leverage of the US broker dealer sector from the US Flow of Funds (see Bruno and Shin, 2015). LEV F DIC is leverage of FDIC insured institutions. See https://www.fdic.gov/bank/analytical/qbp/. Sample period is 1985Q1–2012Q4. Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence (c) Correlation between R and broker-dealer leverage is negative: but trend may be confounding? Correlation

LEV BD

dLEV BD

LEV F DIC

dLEV F DIC

Fed Funds ∆ Fed Funds 1YR Nom. Rate ∆ 1YR Nom. Rate 1YR Real Rate ∆ 1YR Real Rate VIX ∆ VIX

-0.34 -0.06 -0.35 -0.08 -0.28 -0.07 -0.12 0.04

0.13 0.06 0.16 0.12 0.15 0.05 -0.24 -0.10

0.79 -0.02 0.79 0.02 0.78 0.01 0.00 0.02

0.01 -0.10 0.01 0.06 -0.03 0.05 0.08 0.32

LEV BD is leverage of the US broker dealer sector from the US Flow of Funds (see Bruno and Shin, 2015). LEV F DIC is leverage of FDIC insured institutions. See https://www.fdic.gov/bank/analytical/qbp/. Sample period is 1985Q1–2012Q4. Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence (c) Correlation between ∆R and changes in broker-dealer leverage is positive (counterfactual) Correlation

LEV BD

dLEV BD

LEV F DIC

dLEV F DIC

Fed Funds ∆ Fed Funds 1YR Nom. Rate ∆ 1YR Nom. Rate 1YR Real Rate ∆ 1YR Real Rate VIX ∆ VIX

-0.34 -0.06 -0.35 -0.08 -0.28 -0.07 -0.12 0.04

0.13 0.06 0.16 0.12 0.15 0.05 -0.24 -0.10

0.79 -0.02 0.79 0.02 0.78 0.01 0.00 0.02

0.01 -0.10 0.01 0.06 -0.03 0.05 0.08 0.32

LEV BD is leverage of the US broker dealer sector from the US Flow of Funds (see Bruno and Shin, 2015). LEV F DIC is leverage of FDIC insured institutions. See https://www.fdic.gov/bank/analytical/qbp/. Sample period is 1985Q1–2012Q4. Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

11

2. Model predictions & Empirical evidence (d) Correlation between ∆R and changes in FDIC insured institutions leverage is positive (counterfactual) Correlation

LEV BD

dLEV BD

LEV F DIC

dLEV F DIC

Fed Funds ∆ Fed Funds 1YR Nom. Rate ∆ 1YR Nom. Rate 1YR Real Rate ∆ 1YR Real Rate VIX ∆ VIX

-0.34 -0.06 -0.35 -0.08 -0.28 -0.07 -0.12 0.04

0.13 0.06 0.16 0.12 0.15 0.05 -0.24 -0.10

0.79 -0.02 0.79 0.02 0.78 0.01 0.00 0.02

0.01 -0.10 0.01 0.06 -0.03 0.05 0.08 0.32

LEV BD is leverage of the US broker dealer sector from the US Flow of Funds (see Bruno and Shin, 2015). LEV F DIC is leverage of FDIC insured institutions. See https://www.fdic.gov/bank/analytical/qbp/. Sample period is 1985Q1–2012Q4. Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence (e) At the ZLB skewness has similar value to its average over 1960-1985 period (counterfactual)

Cross-sectional skewness of leverage and Effective Fed Funds Rate Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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2. Model predictions & Empirical evidence

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Suggestion Address the implications of the model more formally

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Compute unconditional correlations from the model (is leverage procyclical?)

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Compare them with the data (use different leverage definitions, different percentiles, etc...)

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Compare model IRFs with conditional correlations in the data (e.g., on monetary policy shocks using nonlinear VARs / Local Projections?)

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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3. The role of uncertainty

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Uncertainty, a missing ingredient?

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Affects the option value of default (intermediaries benefit from the upside, but are insulated from the downside)

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Affects tightness of VaR constraint:   1−θ   Kt ω Pr εt+1 ≤ log 1− (1 − qt ) − qt (1 − δ) ≤ αi qt θZte kit

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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3. The role of uncertainty I

Uncertainty can have first moment implications in this framework

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An increase in the variance of TFP shifts down the distribution of leverage for active intermediaries kit 1/qt − 1 = ω 1/qt − (1 − δ) − θZte K θ−1 exp (F −1 (αi ))

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[Not sure about αL ]

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Question Is the model consistent with empirical evidence? •

Could link back to monetary policy, risk aversion and uncertainty [Bekaert et al, 2013]

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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4. Lessons for policy I

Monetary policy mandate is to keep inflation at target ∼ keeping the real rate close enough to the natural rate

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Natural rate is moved around by many shocks that will also affect funding costs

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As shown in this paper, this generates time-variation in systemic risk

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Personal reading Monetary policy can do its job as long as regulation takes care of time-variation in systemic risk •

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E.g., set a cap for k/ω as a function of aL

Focus on time-varying financial sector risk-taking and cyclical regulatory policies (rather than monetary policy)?

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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Summing up

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Exciting work in progress

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Possible extensions: nominal rigidities, role for uncertainty,...

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Clarify the what type of intermediaries

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Some work to do on the empirics

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Very innovative, interesting paper. Look forward to seeing new versions

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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Adrian, Tobias and Hyun Song Shin (2010) “Liquidity and Leverage,” Journal of Financial Intermediation, 19, 418-437 Bekaert, Geert & Hoerova, Marie & Lo Duca, Marco, 2013. “Risk, uncertainty and monetary policy,” Journal of Monetary Economics, Elsevier, vol. 60(7), pages 771-788. Valentina Bruno & Hyun Song Shin, 2015. “Cross-Border Banking and Global Liquidity,” Review of Economic Studies, Oxford University Press, vol. 82(2), pages 535-564.

Discussion of Coimbra & Rey: “Financial Cycles with Heterogeneous Intermediaries”

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Financial Cycles with Heterogeneous Intermediaries

May 26, 2016 - Model predictions & Empirical evidence. (a) Should use real rate (rather than Fed Funds) for consistency with the model. 1970. 1977. 1984. 1991. 1998. 2005. 2012. −5. 0. 5. 10. 15. 20. Fed Funds. 1YR Real Rate. 1Y R Real Rate is defined as the 1YR Nominal Treasury Yield minus the median expected ...

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