spillovers: the role of prudential regulation and monetary ... · iii 98 iii 99 iii 00 iii 01 iii...

46
BANCO CENTRAL DE RESERVA DEL PERÚ BANCO CENTRAL DE RESERVA DEL PERÚ Economic Studies Spillovers: The Role of Prudential Regulation and Monetary Policy in Small Open Economies Paul Castillo, C´ esar Carrera, Marco Ortiz & Hugo Vega Presented by: Marco Ortiz Closing Conference of the BIS CCA Research Network on “Incorporating financial stability considerations into central bank policy models” [email protected] The opinions expressed in this paper are not necessarily shared by the institutions with which we are currently affiliated. Marco Ortiz January 29, 2015 1/33

Upload: others

Post on 23-Aug-2020

17 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Spillovers: The Role of Prudential Regulation and MonetaryPolicy in Small Open Economies

Paul Castillo, Cesar Carrera, Marco Ortiz & Hugo Vega

Presented by:Marco Ortiz

Closing Conference of the BIS CCA ResearchNetwork on “Incorporating financial stabilityconsiderations into central bank policymodels”

[email protected]

The opinions expressed in this paper are notnecessarily shared by the institutions withwhich we are currently affiliated.

Marco Ortiz January 29, 2015 1/33

Page 2: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Contents

Motivation

Literature

The ModelWorkersTradable Good ProducersNon-Tradable Good Producers

Results

Policy

Nominal Rigidities and Spillover effects

Conclusions

Marco Ortiz January 29, 2015 2/33

Page 3: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Motivation

Some stylized facts we attempt to replicate:

I Strong capital inflows in Latin-American region.

I Rapid output growth in both tradable and non-tradable sectors.

I Increase in indebtedness, asset prices booms, real appreciation, andcurrent account deficit.

I Active policy response using macroprudential instruments.

Marco Ortiz January 29, 2015 3/33

Page 4: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

3.2

1.4

-4.2

-0.6

-2.5-1.9

-3.6-4.9

2006 2007 2008 2009 2010 2011 2012 2013,

Current8account8balance

1000

2000

3000

4000

5000

0

400

800

1200

1600

2000

III.9

8

III.9

9

III.0

0

III.0

1

III.0

2

III.0

3

III.0

4

III.0

5

III.0

6

III.0

7

III.0

8

III.0

9

III.1

0

III.1

1

III.1

2

III.1

3

S/.USGHousing8Prices

USN Constant.domestic.currency

USG81857

S/.84588

g5Y0

0Y0

5Y0

10Y0

15Y0

2006 2007 2008 2009 2010 2011 2012

Output8Growth

Tradable Nongtradable

80Y0

85Y0

90Y0

95Y0

100Y0

105Y0

110Y0

115Y0

120Y0

80Y00

85Y00

90Y00

95Y00

100Y00

105Y00

110Y00

115Y00

120Y00

Jan

g03

Julg

03

Jan

g04

Julg

04

Jan

g05

Julg

05

Jan

g06

Julg

06

Jan

g07

Julg

07

Jan

g08

Julg

08

Jan

g09

Julg

09

Jan

g10

Julg

10

Jan

g11

Julg

11

Jan

g12

Julg

12

Jan

g13

Julg

13

Multilateral8RER8IndexIndex.2009.=.100

September 2013:.92h56MoM. Change: g0h36YoY.Change:.2h39

Figure : Peru - Key Macroeconomic Variables

Page 5: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Literature

I Kiyotaki & Moore (1997): credit limits and asset prices.

I Role of financial development in the amplification of capital flowexternalities (Aghion et al. (2004), Aoki et al. (2009)).

I Caballero & Krishnamurthy (2001) study the interaction betweendomestic and foreign lending during periods of sudden stops, usingcollateral assumptions similar to ours.

I Paasche (2001): Two credit constrained SOEs who borrow andexport commodities to a third large one. A negative productivityshock in one SOE generates an adverse terms of trade shock on theother, which is amplified.

I Sudden stop episodes associated with higher borrowing (Mendoza(2002), Jeanne & Korinek (2010), Bianchi (2011)).

Marco Ortiz January 29, 2015 5/33

Page 6: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

What we do

I We build a stylized two sector real business cycle modelincorporating borrowing constraints that generates the co-movementspointed out in the data, emphasizing spill over effects from thetradable to the non-tradable sector.

I We propose a countercyclical LTV rule that manages to reduce outputvolatility in this economy, generating redistributive welfare effects.

I We extend the model by introducing nominal rigidities a la Calvo inthe non-tradable sector and incorporate monetary policy through astandard Taylor rule.

Marco Ortiz January 29, 2015 6/33

Page 7: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Some intuition

1. Borrowing constraints generate a link between entrepreneurs’ creditlimits and the price of assets used as collateral.

2. This link amplifies the co-movement between sectors in response toa productivity shock to the tradable sector.

3. When tradable productivity increases, factor demand pushes assetprices up, expanding the borrowing capacity of entrepreneurs in bothsectors.

4. This yields output co-movement and increased borrowing in thenon-tradable sector.

Marco Ortiz January 29, 2015 7/33

Page 8: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

The Model

1. Extension of the model of Aoki et al. (2009) considering a 2 sectorSOE in which entrepreneurs require collateral to borrow as inIacoviello (2005).

2. Base model consisits of a real DSGE model without money or pricerigidity.

3. Three agents: Workers (W ) and entrepreneurs/producers of tradable(T ) and non-tradable (NT ) goods.

Marco Ortiz January 29, 2015 8/33

Page 9: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

The Model (II)

4. Besides the markets for tradable and non-tradable goods, the modelincorporates markets for labour, capital, housing and credit.

5. The credit market is segmented by collateral asset and productionsector.

6. The tradable sector uses capital (k) as collateral to obtain foreignlending while the non-tradable sector uses housing (h) as collateralto borrow from domestic agents (the workers).

7. We assume a fixed aggregate supply for both capital and housingassets.

Marco Ortiz January 29, 2015 9/33

Page 10: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

Workers Housing market

Capital market

Tradable entrepreneurs

Non-tradable entrepreneurs

Foreign economy

Debt service (T)Credit (T)Final goods

exports

Intermediate goods imports (T)

Intermediate goods imports (NT)

Labour supply

Wages

Final goods imports (HH)

Final goods imports (NT)

Labour supply

Wages

Non-tradable goods supply (HH)

Tradable goods supply (HH)Final goods imports (T)

Debt service (NT)

Credit (NT)

Net housing demand (HH)

Net housingdemand(NT)

Net housingdemand(T)

Net capitaldemand(NT)

Net capitaldemand(T)

NT goods supply (T)

T goods supply (NT)

Figure : The Model

Page 11: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Workers

I Are the “patient” agents in the domestic economy.

I Lend to entrepreneurs producing non-tradable goods (bNTs ) chargingthe domestic interest rate (Rs).

I Consume a basket (Cw,s) of tradable (cTw,s) and non-tradable (cNTw,s )

goods; use housing services (hWs ) and supply labour (ls).

Worker Equations

Marco Ortiz January 29, 2015 11/33

Page 12: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Tradable Good Producers/Entrepreneurs

I Consume the same basket of goods (Ct,s) as workers.

I Combine housing services (hTs ), capital (kTs ), labour (lTs ) andimported inputs (mT

s ) to produce (yTs+1).

I Given the lag in production, entrepreneurs need working capital loans(bT∗s ). These are subject to borrowing constraints:

R∗sbT∗s ≤ θT∗s Es

[qks+1

]kTs

where qks is the price of capital, R∗s is the foreign interest rate and

θT∗s is the fraction of capital value accepted as collateral.

Tradable Entrepreneur Equations

Marco Ortiz January 29, 2015 12/33

Page 13: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Non-Tradable Good Producers/Entrepreneurs

I Consume the same basket of goods (Cnt,s) as workers.

I Use the same inputs (hNTs , kNTs , lNTs ,mNTs ) as tradable good

producers to manufacture (yNTs+1).

I They are also subject to borrowing constraints in the domestic creditmarket that only admits housing as collateral.

RsPWs bNTs ≤ θNTs Es

[qhs+1

]hNTs

I Producers of non-tradable goods sell at relative price pNTs which isexpressed in units of tradable goods.

Non-Tradable Entrepreneur Equations

Marco Ortiz January 29, 2015 13/33

Page 14: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Results: A tradable productivity shock

I An increase in productivity in the tradable sector generates anexpansion in the tradable and non-tradable sectors and boosts theprice of both assets used as collateral.

I The positive wealth effect experienced by tradable entrepreneursincreases demand for non-tradable goods.

I This generates a real appreciation which leads to an expansion in thenon-tradable sector. Given the increase in housing prices, theborrowing constraint of the non-tradable sector is relaxed.

I Non-tradable firms’ demand for housing decreases. Such a decreaseis not big enough to outweigh the effect of higher housing prices ontheir borrowing.

Marco Ortiz January 29, 2015 14/33

Page 15: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

I During the adjustment process, collateral assets are exchangedbetween the non-tradable and the tradable sector.

Non-tradable firms use less housing and the excess is absorbed bytradable firms. The latter liberate capital which is acquired by theirnon-tradable counterparts.

I Workers experience a positive wealth effect because of higherwages. This stimulates savings, reducing the domestic interest rate.As a result, the borrowing constraints of non-tradable firms relax evenfurther and housing becomes less attractive.

I Higher demand for imported inputs in both sectors explains thecurrent account deficit that follows the shock.

Marco Ortiz January 29, 2015 15/33

Page 16: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−5

0

5

10

15x 10

−3 Agg. Output

2 4 6 8 10 12−0.02

−0.01

0

0.01

0.02Current Acc.

2 4 6 8 10 120

2

4

6x 10

−3 House prices

2 4 6 8 10 12−5

0

5

10

15

20x 10

−3 Output (T)

2 4 6 8 10 12−2

−1

0

1x 10

−3 For. debt (T)

2 4 6 8 10 120

1

2

3

4

5x 10

−3 Capital prices

2 4 6 8 10 120

1

2

3

4x 10

−3 Output (NT)

2 4 6 8 10 120

0.5

1

1.5

2x 10

−3 Dom. debt (NT)

2 4 6 8 10 12−2

0

2

4

6

8x 10

−3 RER (pNT/pT)

Figure : Tradable Productivity Shock (γ = 0.98, R∗ = 1.005, θ = 0.6)

More shocks

Page 17: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

The Role of Borrowing Constraints

I The next figure shows the dynamics of the model consideringdifferent values of θ.

I A larger θ implies less restrictive borrowing constraints onentrepreneurs. Consequently, when θ is relative large, the modeldoes not generate spillover effects.

I On the contrary, output in the non-tradable sector falls instead ofrising in response to a positive productivity shock in the tradablesector.

I Debt of non-tradable entrepreneurs falls instead of rising and bothhouses and capital prices are muted.

Marco Ortiz January 29, 2015 17/33

Page 18: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

I The real appreciation is much smaller in this case, which also isconsistent with a milder current account deficit.

I But, tradable (and aggregate) output response is not very different.

I The opposite is observed when θ is relative low: the real exchangerate appreciates substantially, and the current account deficit is muchhigher, output in the non-tradable sector expands, and the debt of thenon-tradable sector increases. Asset prices also increase, amplifyingthe initial impact of productivity shocks.

Marco Ortiz January 29, 2015 18/33

Page 19: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−5

0

5

10

15x 10

−3 Agg. Output

2 4 6 8 10 12−0.02

−0.01

0

0.01

0.02

0.03Current Acc.

2 4 6 8 10 12−5

0

5

10x 10

−3 House prices

2 4 6 8 10 12−5

0

5

10

15

20x 10

−3 Output (T)

2 4 6 8 10 12−2

−1

0

1

2

3x 10

−3 For. debt (T)

2 4 6 8 10 12−5

0

5

10x 10

−3 Capital prices

2 4 6 8 10 12−2

0

2

4

6x 10

−3 Output (NT)

2 4 6 8 10 12−4

−2

0

2

4

6x 10

−3 Dom. debt (NT)

2 4 6 8 10 12−5

0

5

10

15x 10

−3 RER (pNT/pT)

θ = 0.6θ = 0.3θ = 0.9θ = 1.18

Figure : Tradable Productivity Shock: The role of borrowing constraints

Page 20: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Policy

I The analysis of the role of borrowing constraints suggests a role forpolicy: minimize spillover effects.

I But the presence of borrowing constraints in our model is a structuralone. The values for θT∗ and θNT should be treated either as deepparameters or an endogenous response of agents to the frictionspresent in credit markets.

I For this reason, an authority that employs LTV ratios as a policyinstrument faces an upper bound, as it is not possible to force lendersto accept less collateral than the one they privately deem adequate.

I We explore a (potentially) second best solution: time varying LTVrules in which the policy value of θ (θint) must be set below theprivate one (θpriv).

Marco Ortiz January 29, 2015 20/33

Page 21: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

θpriv

τ + θint

θint

time0

Figure : LTV Rules

Page 22: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Policy (II)

We propose a countercyclical rule that takes into account the position ofthe economy with respect to the business cycle.

θT∗,ints

θT∗,int =

θNT,ints

θNT,int

= Es

(Ys+1

Y

)−φθ

where Y denotes aggregate output (value added) defined as

Ys =(yTs − pMs−1m

Ts−1 + pNTs yNTs − pMs−1m

NTs−1

)/PWs

and φθ > 0.

Marco Ortiz January 29, 2015 22/33

Page 23: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Policy (III)

I An LTV rule targeting aggregate output does a good job dampeningthe spillover from the tradable to the non-tradable sector in theaftermath of a tradable productivity shock.

I Aggregate output is slightly affected, but there is a sizeabledampening on asset prices and the real exchange rate.

I Tighter LTV ratios imposed on the economy manage to curtail theexpansion in debt in both sectors but the effect is bigger onnon-tradable firms.

I Actually, borrowing taken by these firms diminishes, forcingnon-tradable entrepreneurs to hold on to their houses. This reducestheir demand for capital, explaining why tradable firms cannotexchange capital for housing.

Marco Ortiz January 29, 2015 23/33

Page 24: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−5

0

5

10

15x 10

−3 Agg. Output

2 4 6 8 10 12−0.02

−0.01

0

0.01

0.02Current Acc.

2 4 6 8 10 120

2

4

6x 10

−3 House prices

2 4 6 8 10 12−5

0

5

10

15

20x 10

−3 Output (T)

2 4 6 8 10 12−2

−1

0

1x 10

−3 For. debt (T)

2 4 6 8 10 120

1

2

3

4

5x 10

−3 Capital prices

2 4 6 8 10 12−1

0

1

2

3

4x 10

−3 Output (NT)

2 4 6 8 10 12−6

−4

−2

0

2x 10

−3 Dom. debt (NT)

2 4 6 8 10 12−2

0

2

4

6

8x 10

−3 RER (pNT/pT)

BaseLTV y

Figure : Tradable Productivity Shock: Countercyclical LTV Rule

Page 25: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Welfare and Volatility

I In order to further analyse the impact of LTV rules, we solve themodel using a second order approximation around the non-stochasticsteady state. We find that the countercyclical rule reduces thevolatility of output. Table

I We also investigate the second order effects on welfare. Thismeasure is the difference between the mean welfare measure and itsnon-stochastic steady-state value.

I Results show that the introduction of a countercyclical LTV policy rulegenerates strong redistribution effects. Namely, its use produceswelfare increases for a subset of agents in the economy, while therest suffer a reversal.

Marco Ortiz January 29, 2015 25/33

Page 26: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Welfare and Volatility (II)

I Which agents are favoured by the rule depends on the source of theshocks and how limiting the borrowing constraints are, captured by θ.

I For example, when all shocks are taken into account, imposing thecountercyclical rule on an economy with low θ makes theentrepreneurs better off and the workers worse off. This outcome isreversed when θ is high. The intuition is that at low values of θ theentrepreneurs are very constrained and shocks generate highdomestic interest rate fluctuations which disappear at high levels of θ.

Table

Marco Ortiz January 29, 2015 26/33

Page 27: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

The Role of Nominal Rigidities

I We introduce nominal rigidities to the baseline setup to study theinteraction between monetary and macroprudential policies.

I We add a non-tradable goods retailer sector, subject to imperfectcompetition, that sets prices a la Calvo.

I We impose a lump-sum tax on workers to subsidize the acquisition of“wholesale” non-tradable goods by the retailer, restoring the perfectcompetition allocation.

Marco Ortiz January 29, 2015 27/33

Page 28: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−5

0

5xb10

−3 Agg.bOutput

2 4 6 8 10 12−0.01

0

0.01

0.02CurrentbAcc.

2 4 6 8 10 12−5

0

5xb10

−3 Housebprices

2 4 6 8 10 12−0.01

0

0.01

0.02Outputb(T)

2 4 6 8 10 12−4

−2

0

2xb10

−3 For.bdebtb(T)

2 4 6 8 10 12−10

−5

0

5xb10

−3 Capitalbprices

2 4 6 8 10 12−1

0

1

2xb10

−3 Outputb(NT)

2 4 6 8 10 12−5

0

5xb10

−3 Dom.bdebtb(NT)

2 4 6 8 10 12−5

0

5xb10

−3 pNT

Baseline

Nominal

Figure : Tradable Productivity Shock: Role of Nominal Rigidities

Page 29: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−2

0

2

4xF10

−3 Agg.FOutput

2 4 6 8 10 12−0.01

0

0.01

0.02CurrentFAcc.

2 4 6 8 10 12−10

−5

0

5xF10

−3 HouseFprices

2 4 6 8 10 12−0.01

0

0.01

0.02OutputF(T)

2 4 6 8 10 12−5

0

5

10xF10

−3 For.FdebtF(T)

2 4 6 8 10 12−0.02

−0.01

0

0.01CapitalFprices

2 4 6 8 10 12−2

0

2xF10

−3 OutputF(NT)

2 4 6 8 10 12−4

−2

0

2xF10

−3 Dom.FdebtF(NT)

2 4 6 8 10 12−10

−5

0

5xF10

−3 pNT

φπ

=F1.05

φπ

=F1.5

φπ

=F3

Figure : Tradable Productivity Shock: Role of Monetary Policy

Page 30: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−2

0

2

4x(10

−3 Agg.(Output

2 4 6 8 10 12−0.01

0

0.01

0.02Current(Acc.

2 4 6 8 10 12−5

0

5

10x(10

−4 House(prices

2 4 6 8 10 12−0.01

0

0.01

0.02Output(LTV

2 4 6 8 10 12−4

−2

0

2x(10

−3 For.(debt(LTV

2 4 6 8 10 12−10

−5

0

5x(10

−3 Capital(prices

2 4 6 8 10 12−1

0

1

2x(10

−3 Output(LNTV

2 4 6 8 10 12−4

−2

0

2x(10

−3 Dom.(debt(LNTV

2 4 6 8 10 12−2

0

2

4x(10

−3 pNT

Tax(Rule

Base

LTV(Rule

Figure : Tradable Productivity Shock: Monetary and Prudential Policy

Page 31: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Conclusions

1. A productivity shock in the tradable sector generates an increase inboth asset prices and borrowing. Those effects spillover to thenon-tradable sector and generate a real appreciation.

2. The appreciation and the increase in housing prices further reinforcesthis mechanism by increasing the ability of non-tradable firms toborrow.

3. As a result, non-tradable sector borrowing increases and a currentaccount deficit appears.

Marco Ortiz January 29, 2015 31/33

Page 32: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Conclusions (II)

4. The model simulations can also be interpreted as showing a positivecorrelation between capital flows and terms of trade, a stylized factobserved in many commodity producer economies, such as Chile,Peru and Canada.

5. On the policy side, we show that countercyclical LTV rules candampen the spillover effects of borrowing constraints.

6. Price rigidities matter for the transmission mechanism of tradableproductivity shocks, as they affect the dynamics of collateral pricesand credit.

7. Macroprudential instruments allow the central bank to pursue astronger price stabilization policy by reducing the volatility of assetprices and, consequently, spillovers over the non-tradable sector.

Marco Ortiz January 29, 2015 32/33

Page 33: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Spillovers: The Role of Prudential Regulation and MonetaryPolicy in Small Open Economies

Paul Castillo, Cesar Carrera, Marco Ortiz & Hugo Vega

Presented by:Marco Ortiz

Closing Conference of the BIS CCA ResearchNetwork on “Incorporating financial stabilityconsiderations into central bank policymodels”

[email protected]

The opinions expressed in this paper are notnecessarily shared by the institutions withwhich we are currently affiliated.

Marco Ortiz January 29, 2015 33/33

Page 34: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Worker Equations

Consumption basket:

Cw,s ≡[(γT) 1ε(cTw,s

) ε−1ε +

(1− γT

) 1ε(cNTw,s

) ε−1ε

] εε−1

Price index:

PWs =[γT +

(1− γT

) (pNTs

)1−ε] 11−ε

Euler equation:

1

Cw,s= βEs

[Rs

Cw,s+1

PWsPWs+1

]

Marco Ortiz January 29, 2015 1/13

Page 35: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Workers Equations (II)

Labour supply:

wsPWs

= Cw,sλ (ls)η

Housing demand:

qhs − Es

[qhs+1

Rs

]= j

(hWs)−φ

PWs Cw,s

Back

Marco Ortiz January 29, 2015 2/13

Page 36: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Factor Demands (Tradable Goods Production)

qhs = γEs

[F Ts

(qhs+1 +

∂yTs+1

∂hTs

)]qks = γEs

[F Ts

(qks+1 +

∂yTs+1

∂kTs

)]+(

1R∗s− γEsF

Ts

)θT∗s Es

[qks+1

]ws = γEs

[F Ts

∂yTs+1

∂lTs

]pMs = γEs

[F Ts

∂yTs+1

∂mTs

]where pMs is the price of the imported input in tradable good units and:

F Ts ≡ Ct,sCt,s+1

PWsPWs+1

Back

Marco Ortiz January 29, 2015 3/13

Page 37: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Factor Demands (Non-Tradable Goods Production)

qhs = γEsFNTs

(qhs+1 + pNTs+1

∂yNTs+1

∂hNTs

)+(

1Rs

− γEsFNTs

)θNTs Esq

hs+1

qks = γEs

[FNTs

(qks+1 + pNTs+1

∂yNTs+1

∂kNTs

)]ws = γEs

[FNTs

(pNTs+1

∂yNTs+1

∂lNTs

)]pMs = γEs

[FNTs

(pNTs+1

∂yNTs+1

∂mNTs

)]where

FNTs ≡ Cnt,sCnt,s+1

PWsPWs+1

Back

Marco Ortiz January 29, 2015 4/13

Page 38: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Table : Parameter calibration

Preferencesβ = 0.99 γ = 0.98 λ = 1 η = 1γT = 0.3 ε = 0.5 j = 5 φ = 3Technologiesα = 0.3 χ = 0.2 κ = 0.2ν = 0.3 κ = 0.2 ψ = 0.2ρA = 0.7 ρζ = 0.7Collateral constraintθT∗ = 0.3 θNT = 0.3Open economyR∗ = 1.005 pM = 0.8Rulesφθ = −0.8 φb = −5

Marco Ortiz January 29, 2015 5/13

Page 39: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Results: A non-tradable productivity shock

I Non-tradable output expands, coupled with a very mild increase intradable output, a fall in asset prices and a short lived current accountsurplus consistent with a real depreciation.

I The key difference between the non-tradable productivity shock andthe tradable productivity shock is that the price of tradable goods isfixed by arbitrage with the foreign sector while the price ofnon-tradable goods is determined domestically under perfectcompetition.

Marco Ortiz January 29, 2015 6/13

Page 40: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

I Thus, the increase in productivity in the non-tradable sector isassimilated in the form of lower prices, generating a significantdepreciation. As a result, asset and input prices are virtuallyunchanged and there is hardly any shift in factor allocation.

I The depreciation has the added benefit of relaxing the non-tradablesector’s borrowing constraint. This is a balance-sheet effect: firms inthe non-tradable sector contract debt in domestic (basket) units,therefore non-tradable debt in tradable good units expands.

Marco Ortiz January 29, 2015 7/13

Page 41: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 120

2

4

6

8x 10

−3 Agg. Output

2 4 6 8 10 12−1.5

−1

−0.5

0

0.5

1x 10

−3 Current Acc.

2 4 6 8 10 12−3

−2

−1

0

1x 10

−4 House prices

2 4 6 8 10 12−5

0

5

10

15x 10

−5 Output (T)

2 4 6 8 10 12−1

0

1

2

3x 10

−4 For. debt (T)

2 4 6 8 10 12−2

−1.5

−1

−0.5

0x 10

−4 Capital prices

2 4 6 8 10 12−5

0

5

10x 10

−3 Output (NT)

2 4 6 8 10 12−2

0

2

4

6

8x 10

−3 Dom. debt (NT)

2 4 6 8 10 12−0.015

−0.01

−0.005

0RER (pNT/pT)

Figure : Non-Tradable Productivity Shock

Page 42: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Results: A foreign interest rate shock

I A higher foreign interest rate tightens the borrowing constraint oftradable firms, forcing a fall in tradable output.

I Lower input demand by tradable firms leads to a fall in the prices ofhouses and labour.

I The negative wealth effect on tradable entrepreneurs reducesdemand for non-tradable goods, triggering a real depreciation.

I Output in the non-tradable sector falls as well, reducing demand forcapital and labour further. The decline in wages prompts workers toborrow, pushing the domestic interest rate up, and discouragingborrowing by non-tradable firms.

Marco Ortiz January 29, 2015 9/13

Page 43: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

I Given tighter borrowing constraints, housing is reallocated from thetradable to the non-tradable sector, and capital is reallocated from thenon-tradable to the tradable sector, allowing the later to borrow more.

I The contraction in foreign debt and the depreciation that occurs whenthe shock hits is consistent with a current account surplus.

I This shock is basically the opposite of the tradable productivity shock.Thus, a fall in the foreign interest rate that generates capital inflowsinto this SOE would produce: higher asset prices, current accountdeficit, real depreciation and a boom in the non-tradable sectorcoupled with higher debt.

Marco Ortiz January 29, 2015 10/13

Page 44: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

2 4 6 8 10 12−6

−4

−2

0

2x 10

−3 Agg. Output

2 4 6 8 10 12−0.03

−0.02

−0.01

0

0.01

0.02Current Acc.

2 4 6 8 10 12−0.02

−0.015

−0.01

−0.005

0House prices

2 4 6 8 10 12−6

−4

−2

0

2x 10

−3 Output (T)

2 4 6 8 10 12−2

0

2

4x 10

−3 For. debt (T)

2 4 6 8 10 12−0.02

−0.015

−0.01

−0.005

0Capital prices

2 4 6 8 10 12−15

−10

−5

0

5x 10

−3 Output (NT)

2 4 6 8 10 12−0.01

−0.005

0

0.005

0.01Dom. debt (NT)

2 4 6 8 10 12−0.03

−0.02

−0.01

0

0.01RER (pNT/pT)

Figure : Foreign Interest Rate Shock

Back

Page 45: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Table : Coefficient of variability

θ = 0.3 θ = 0.6 θ = 0.9V ariable φθ = 0 φθ = 0.8 φθ = 0 φθ = 0.8 φθ = 0 φθ = 0.8

All shocks

Y 2.808 2.244 4.683 2.867 9.935 3.775Y NT 7.242 5.673 17.482 11.651 83.293 47.001Y T 7.247 6.335 8.747 6.538 12.829 5.447

Tradable productivity shock

Y 2.149 1.69 2.59 1.588 2.931 1.259Y NT 3.645 2.281 5.101 2.394 12.926 4.166Y T 7.149 6.238 7.771 6.104 7.34 4.28

Non− tradable productivity shock

Y 1.451 1.195 1.539 1.043 1.745 0.886Y NT 4.284 3.525 5.639 4.477 15.04 13.978Y T 0.116 0.591 0.1 0.979 0.094 2.103

Foreign interest rate shock

Y 1.075 0.866 3.583 2.147 9.353 3.451Y NT 4.552 3.811 15.737 10.489 81.71 45.763Y T 1.161 0.915 4.003 2.132 10.604 2.626

Back

Marco Ortiz January 29, 2015 12/13

Page 46: Spillovers: the role of prudential regulation and monetary ... · III 98 III 99 III 00 III 01 III 02 III 03 III 04 III 05 III 06 III 07 III 08 III 09 III 10 III 11 III 12 III 13 US$

BANCO CENTRAL DE RESERVA DEL PERÚ

BANCO CENTRAL DE RESERVA DEL PERÚEconomic Studies

Table : Welfare

θ = 0.3 θ = 0.6 θ = 0.9V ariable φθ = 0 φθ = 0.8 φθ = 0 φθ = 0.8 φθ = 0 φθ = 0.8

All shocks

Ww 4.178 3.148 -3.204 0.607 -104.083 -1.429WNT -3.827 -2.254 -2.139 -3.031 244.964 56.912W T -4.036 -2.923 -9.366 -5.37 59.211 6.348

Tradable productivity shock

Ww 1.102 0.639 -0.029 1.593 -0.712 20.101WNT -0.541 0.246 1.04 1.187 4.055 12.979W T -1.232 -0.419 -0.771 -0.873 0.251 -6.203

Non− tradable productivity shock

Ww -0.118 0.277 -0.124 0.52 -0.129 5.367WNT -0.081 -0.104 -0.074 0.346 -0.068 5.991W T -0.047 -0.684 -0.043 -0.749 -0.039 -1.506

Foreign interest rate shock

Ww 3.193 2.233 -3.05 -1.506 -103.242 -26.896WNT -3.205 -2.395 -3.106 -4.564 240.977 37.942W T -2.757 -1.82 -8.552 -3.748 59 14.057

Back

Marco Ortiz January 29, 2015 13/13