French savers in the “great recession” - Luc ARRONDEL

Changes in price expectations concerning the risky asset (m, σ) – or .... Suppose that you have a job which guarantees for life your household's current income R. ... can't stand waiting, who are quick to react, and who want everything right away ... Risk : As regards your attitude towards risk on the whole, where would you ...
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French savers in the “great recession” Preferences, financial expectations, and portfolio choice

Luc Arrondel & André Masson CNRS-PSE

2

Risky portfolio in France

Source: Tns-Sofia

3

Mars 2013 : 8,0% Mars 2014 : 7,2% Mars 2015 : 6,6% Mars 2016 : 6,2%

Risky portfolio in France 6000

20

Cac40

% ac4onnaire individuel

5000

3770

4000

3500

13.0

4385

4291

4067

3000

18

4917

16 14

3700

12

11.9

10

2581

9.1 2000

8.5

8

8.0

7.3

6.6

6.2

6 4

1000

2 0

0 Mars 2009

Mars 2010

Source: Tns-Sofia 4

Mars 2011

Mars 2012

Mars 2013

Mars 2014

Mars 2015

Mars 2016

Structure du portefeuille de valeurs mobilières et d’assurance vie par centile de richesse financière 3.4a. Taux de détention des valeurs mobilières et des assurances vie par niveau de richesse financière

Percentiles 0-25 25-50 50-70 70-90 90-99 99-100 Ensemble

Actions en direct

FCPActions

Obligation ou FCPObligation

0.004 0.041

0.002 0.010

0.000 0.001

0.105

0.028

0.011

0.256 0.492

0.085 0.184

0.038 0.100

0.690

0.374

0.195

0.135

0.001 0.003 0.024 0.029 0.078 0.115

0.046

0.021

0.020

Autres valeurs mobilières

Ass. Vie multisupport 0.010 0.047 0.096 0.215 0.427 0.610

Ass. Vie en euros 0.054 0.165 0.265 0.411 0.478 0.563

Bons de Capitalisation

0.121

0.239

0.004

2010

0.000 0.001 0.004 0.007 0.016 0.039

2014

5

Source: Insee, enquêtes « Patrimoine »

Safe portfolio in France

Septembre 2008

6

Related Literature The questions to measure RA : qualitative and lottery Risk aversion increases following the 2008 financial crisis

7

Related Literature The explanation : emotional response (FEAR)

8

Related Literature

9

Related Literature The question to measure RA : Likert scale Risk aversion increases following the 2008 financial crisis

10

Related Literature The question to measure RA : qualitative question about financial risk

11

Outline of the presentation §  Data: May 2007-June 2009 -November 2011-December 2014 § 

Panel dimension

1.  Individual wealth behaviors: impact of the crisis § 

Δ behaviors = g (Δ preferences, Δ present resources, Δ expectations)

2.  Changes in future income and asset price expectations 3.  Changes in individual risk, time & other preferences § 

Usual measures: lottery choice, Likert scales

4.  Measuring individual preferences: scores § 

Method of scoring

§ 

Preference scores: determinants, correlations, wealth effects

6.  Explaining changes : 12

§ 

Scores: only age effect on risk & time preferences

§ 

Changes in behaviors explained by changes in expectations

Data

Available surveys

Pat€r surveys

14

Cac40 and Pater survey

May 2007

Nov. 2011 Dec. 2014 June 2009

15

Example of decomposition of changes in behavior §  Investment choice between: §  a risky asset: expected return m & standard deviation σ §  & a safe asset of return r

§  Expected utility: share of risky asset p è p = (m–r) / σ2γ . Change in p may depend on: §  Changes in preferences: relative risk aversion γ §  Changes in price expectations concerning the risky asset (m, σ) – or even the riskless asset (r)

§  If background risk on labor income added: share p lower if the saver is ‘temperant’ (substitution of risks) §  Change in p may also come from changes in labor income risk §  If present risk exposition in labor income increases, the share p decreases (if the saver is temperant: 4th derivative of the felicity function) 16

1. Changes in behaviors

« As regards financial investments, do you think that… » Pater 2007, 2009 2011 & 2014 (panel) : in % (N = 807) Question similar to Guiso et al. (2015)

18

2014: return to 2009

Risky portfolio in France (stocks and shares)

Source: Tns-Pater 19

2. Changes in expectations

Anticipated return on stock market within the next 5 years The question: distribute 100 points Five years from now, do you think that the stock market... (For each category write down the likelihood of occurrence assigning a value between 0 and 100. The sum of all your answers must be equal to 100) will have increased by more than 25%

/__/__/__/

will have increased by 10 to 25%

/__/__/__/

will have increased by less than 10%

/__/__/__/

will be the same

/__/__/__/

will have decreased by less than 10%

/__/__/__/

will have decreased by 10 to 25%

/__/__/__/

will have decreased by more than 25%

/__/__/__/

In your opinion, if you expect the stock market to increase within the next 5 years, which is the highest possible increase (as a percentage)?

21

In your opinion, if you expect the stock market to decrease within the next 5 years, which is the lowest possible decrease (as a percentage)?

Anticipated return on stock market within the next 5 years Pater 2007, 2009 & 2011 (panel : ½ respondents = around 1,000 in each case) 60%

Average anticipated return : 2007 : 5.6%

56% 2007 (mean=5.6%)

50%

48%

2009 (mean=3.6%)

2009 : 3.6%

40%

2011 : 0.4%

31% 30% 30% 22% 20% )!"#

13%

%!!*#+,-./0&12"3#

10% (!"#

0% Negative

Zero

Positive

Panel 2007-2009 Panel 2009-2011

'(#$

%!$$#+,-./0!1'"3#

'!"#

%)#$ %&#$ %!#$

&!"#

%%#$

!"#$ %!"#

$!"#

22

!"#

*+,-./0+$

1234$

546/./0+$

Anticipated return on stock market within the next 5 years Pater 2011 & 2014 (panel : ½ respondents = around 1,500 in each case)

Average anticipated return : 2011 : 0.4% 2014 : 1.4%

Inversion: 2014 expectations more optimistic than in 2011 but still less than in 2009

23

Determinants of stock price expectations (Pater 2007) §  Expected return §  Men are more optimistic than women (+1,1%) §  The amount of wealth: positive effects §  ‘Information’ increases expectations => expected return rises with: §  Age §  Economic & financial press reading §  Level of financial education §  ‘Good in mathematics’, ‘luck in life’: positive effects, §  Executives are more optimistic, self-employed are more pessimistic §  Past capital gains have a positive effect

§  Expected risk §  Lower among the elderly, those without a diploma, who do not read economic & financial press §  Negative effect of past capital gains 24

24

3. Changes in preferences: usual measures

The hypothetical income lottery measure of risk aversion Barsky, Juster, Kimball and Shapiro (1997) Barsky, Juster, Kimball and Shapiro (1997) § 

Suppose that you have a job which guarantees for life your household’s current income R. Other companies offer you various contracts which have one chance out of two (50%) to provide you with a higher income and one chance out of two (50%) to provide you with a lower income. Do you accept?

26

The income lottery (continued) Barsky, Juster, Kimball and Shapiro (1997)

Contract A no

yes

1/2

1/2 R R

1/2

R 0.5 R

27

R

R 1/2

4/5 R

R

The lottery measure of relative risk aversion Panel PATER 2007, 2009, 2011 and 2014 (N=807) The rational consumer chooses the contract if E u = u(2c) + 1/2 u(λc) ≥ u (c) Hypothesis: expected utility maximization, u is CRRA

28

Distribution across waves of the lottery measure Lottery measures are quite unstable over time K-S test (2007-2009) : 0.0841

29

(p=0.000)

Likert preference scales (self-assessed) Time preference : On a scale of zero to ten, where would you place yourself between the following two "extreme" descriptions ? 0 : persons who live day by day and take life as it comes, who don't think too much about tomorrow nor worry about the future 10 : persons who are preoccupied by their future (even their distant future) and whose mind is well set on what they want to be or do later in on life Live day by day

Preoccupied by the future

[___0___Í___1___Í___2___Í ___3___Í ___4___Í ___5___Í ___6___Í___7___Í___8___Í ___9___Í ___10___] Impatience : On a scale of zero to ten, where would you place yourself between the following two "extreme" descriptions ? 0 : persons who are impulsive or impatient, who can't stand waiting, who are quick to react, and who want everything right away 10: persons who are poised and thoughtful, who know how to grin and bear it, and who need time before forging an opinion or taking a decision Impatient

Patient

[___0___Í___1___Í___2___Í ___3___Í ___4___Í ___5___Í ___6___Í___7___Í___8___Í ___9___Í___10___] Risk : As regards your attitude towards risk on the whole, where would you place yourself, using the same scale ? 0 : corresponds to very prudent persons, who seek to limit the risks of life as much as possible, and who aspire to a well-organised life, without surprises 10 : corresponds to persons drawn by adventure, who seek novelty and challenges, and who like to take risk and have got a lot at stake in their lives Prudent

Adventurous

[___0___Í___1___Í___2___Í ___3___Í ___4___Í ___5___Í ___6___Í___7___Í___8___Í ___9___Í ___10___] 30

Scales of preferences between 2007, 2009, 2011 & 2014 According to scales, people become (ref. 2007) … a little more patient

Panel PATER 200, 2009, 2011 & 2014 (N=807)

K-S test (2007-2009) : 0.0899

as farsighted or so less risk tolerant (until 2011) overall and in any domain of life 31

Risk by domain

(p=0.000)

Histogram of the preference scales Risk

Time preference

Defects: - anchor points (value 5) 32

- irregular spikes from one year to the other

4. Measuring preferences: individual ordinal scores

Our alternative approach (1): scores §  Build in small touches the psychological profile of the saver §  Multiply the number of simple questions : lotteries, opinions and intentions, real-life choices & actual behaviors, possible scenarios… §  Since no one single question is satisfactory

§  …on different areas of life : consumption, leisure, health, investments, work, retirement, family… §  considering different risks (big, small, gains, losses…) & time-horizons

§  Individual scores for preferences towards risk, time and family §  A priori attribution of questions to preference parameters §  Coding the questions (-1, 0, 1): scores are the sum of the answers given §  as “averages” of the responses given, on a purely ordinal basis

§  Validation of ordinal measures §  Internal consistency : Cronbach alpha, correlation of “sub-scores” in different domains Principal component analysis, etc. 34

Our alternative approach (2): virtues of aggregation Problem : no one question is fully satisfactory

§  Aggregation in synthetic, relative scores could be the answer §  If a common component exists, such ‘aggregation’ of questions reduces ex ante framing effects, noise & measurement error, endogeneity biases §  Score = context-free measure §  Score = summary measure (risk : large & small risks, gains & losses…) §  Score = partly a collection of natural instruments §  Score = significant explanatory power of wealth amount & composition

§  Data choose the scores for each preference §  Only one (internally consistent) risk score §  Two preferences scores concerning the horizon

35

Ø 

Short-term impatience

Ø 

Time preference for the present over the life-cycle

§  One score for family altruism (children)

Risk aversion Ambiguity aversion Loss aversion, etc.

Top of the risk 1. French and weather

The question : “Do you take an umbrella with you when the weather forecast is uncertain?” ?

53% 45%

36

Yes

No

Top of the risk 2. French and their car

The question : “Do you park your car illegally?” Very Often “Do you park your car illegally?” 37

1

Often Sometime

2

10

Rarely

33

I have Never no car 42

12

Top of the risk « Cigarettes, whisky… » The question : “Do you think that it is worth depriving yourself of some of life’s pleasures to gain a few extra years of life? ” 

Yes, quite

38

17%

Yes, rather

37%

Not really

37%

No at all

6%

DK

3%

George Best, a particular idea of money management ..

•  « I spent a lot of money on booze, birds and fast cars. The rest I just squandered. » • 

39

« In 1969 I gave up

women and alcohol - it was the worst 20 minutes of my life.  »

Top ten questions contributing to the risk score

Similar ranks of the questions in the risk score (ref. 2009)

40

Scores much better than other measures on… Scores correlated with all other survey & experimental measures

§  Important consistency (Cronbach=0.7) §  Nicer histograms… èè §  Explaining risk measures by standard covariates (2009) §  Pseudo R2 : 7.4% score ; 1.3% lottery ; 0.9% general scale

§  Homogamy in couples, (rank) correlation (2007) §  Risk : 0.52 score ; 0.19 general 0-10 scale ; 0.26 lottery (Kimball: 0.41) §  Time preference : 0.45 score ; 0.25 for 0-10 scale

§  Intergenerational (rank) correlation (2002) §  Risk : 0.22 score ; 0.08 n.s. lottery (Kimball: 0.20) §  Time preference, altruism : 0.15 scores

§  Stability over time (see below) §  Robustness of wealth effects & score correlations across dates 41

Histogram of the preference scores Risk

42

Time preference

Time correlations of preference measures across waves

43

5. Scores: overall stability of risk & time preferences

Risk score : histogram in 2007, 2009 & 2011 Pater 2007-2009 (Panel) & 2009-2011 (Panel) 2007 (mean=6.5)

140

More risk averse/prudent

2009 (mean=6.3) 120

100

140

More risk averse/prudent 80

2009 (mean=6,7) 2011 (mean=6,8)

120 60

More risk averse/prudent

100

40

K-S test :

20

0.0299

80

(p=0.269) 60

40

K-S test : 0.0163 (p= 0.956)

20

2009 : mean=6.7 median=7 2011 : mean=6.8 median=7 45

Source: Panel PATER 2009-2011 (N=1,970)

25

23

21

19

17

15

13

9

11

7

5

3

-1

-3

-5

-7

1

-9

3

-1

-1

5

0 -1

2007 : mean=6.5 median=7

1

Source: Panel PATER 2007-2009 (N=2,234)

26

22

24

20

18

16

12

14

8

10

6

2

4

0

-2

-4

-6

0

-8

2

-1

-1

6

4 -1

8

-1

-1

-2

0

0

Risk score : histogram in 2007, 2011 & 2014 Pater 2011-2014 (Panel) & 2007-2014 (Panel) More risk averse/prudent

K-S test : 0.0372 (p= 0.102)

Source: Panel PATER 2011-2014 (N=2204)

2011 : mean=6.3 median=6 2014 : mean=6.8 median=7 Age effects ? 46

K-S test : 0.0720 (p= 0.033)

Source: Panel PATER 2007-2014 (N=807)

2007 : mean=6.2 median=6 2014 : mean=7.0 median=7

Risk score : determinants (+ : more risk averse)

all observations

OLS

47

Covariates Wave 2009

Coef. 0.4317

Wave 2011

0.8321

6.43

Wave 2014

0.7951

4.51

Age

0.1334

30.81

Income Q2

1.0122

4.47

Income Q3

1.0270

4.47

Income Q4

1.1237

4.52

Income (missing)

1.7273

6.33

Sex: female

2.5938

18.69

Married

1.6539

10.75

Social origin : farmer

0.7909

3.81

Social origin : self-employ.

-0.5226

-2.55

Social origin : independant professionnal services

-0.1893

-0.49

Education : Bac.

-0.0270

-0.16

Education : >Bac.

-0.1378

-0.84

Children (at home)

-0.0788

-1.24

Children (out of home)

-0.2199

-3.47

Constant

-7.6059

-20.02

N

14895

n

8435

R2

0.195

Robust-t 3.96

Risk score : age & time (wave) effects Balanced sample

Covariates

Score Robust-t Coef.

Coef.

Scale Robust-t

Coef.

Robust-t

Coef.

Robust-t

Lotery Robust-t Coef.

Coef.

Robust-t

Wave 2009

0.1995

1.24

-0.1014

-0.61

-0.4068

-4.23

-0.4525

-4.67

0.1653

4.05

0.1648

3.98

Wave 2011

0.4053

2.35

-0.1311

-0.70

-0.6737

-7.15

-0.7571

-7.84

0.2526

6.17

0.2517

5.99

Wave 2014

0.8081

4.37

-0.1479

-0.68

-0.5591

-5.69

-0.7060

-6.76

0.1460

3.39

0.1445

3.20

0.1178

8.12

0.0184

4.17

0.0002

0.11

-0.1273

-0.15

4.6687

18.49

3.1755

32.28

Age Constant

6.2285

26.76

5.6606

65.72

3.1860

85.87

N

3168

3168

3083

3083

2883

2883

n

792

792

790

790

790

790

0.002

0.063

0.014

0.026

0.010

0.010

R2

48

Risky asset portfolio : stockholding all observations probit (marginal effect) Covariates Score RA Score TP Age Age squared Income Q2 Income Q3 Income Q4 Income (missing) Gross wealth Q2 Gross wealth Q3 Gross wealth Q4 Gross wealth (missing) Married Education (Bac.) Education (>Bac.) Children (at home) Children (out of home) Wave 2009 Wave 2011 Wave 2014 Parents own stocks ? : Yes Parents own stocks ? : Dnk Expected return on stocks Expected variance on future income Constant

49

N n

probit (marginal effect)

Panel (2007+at least one wave) RE probit

Coef.

Robust t

Coef.

Robust t

Coef.

Robust t

-0.0037 -0.0106 0.0056 0.0000 0.0650 0.0929

-5.16 -8.28 3.71 -1.45 3.66 5.31

-0.0033 -0.0095 0.0072 0.0000 0.0798 0.1161

-3.27 -5.37 3.34 -1.33 2.96 4.45

-0.0268 -0.0865 0.0382 -0.0001 0.5498 0.9309

-2.65 -5.14 1.44 -0.47 2.22 3.77

0.1610

8.17

0.1725

6.22

1.3951

5.32

0.1389 0.1025 0.1355 0.3001 0.0322 -0.0142 0.0503 0.1077 -0.0161 -0.0097 -0.0674 -0.1199 -0.1791 0.1487 0.0068

6.04 6.81 9.54 17.25 2.26 -1.42 4.22 9.65 -4.24 -2.35 -9.99 -15.91 -18.13 13.76 0.75

-1.8493

-12.17

0.1463 0.1263 0.1418 0.3121 0.0804 -0.0166 0.0514 0.1142 -0.0189 -0.0103 -0.0839 -0.1307 -0.2098 0.1674 0.0786 0.3856 0.0209 -2.3750

4.58 6.13 7.56 14.34 3.32 -1.20 3.12 7.71 -3.34 -1.77 -8.16 -11.36 -14.72 12.08 0.18 8.34 1.59 -12.85

1.1818 0.6656 0.8414 1.5774 0.3841 -0.0517 0.4740 0.8490 -0.0744 -0.1138 -0.6677 -1.0688 -1.8833 0.7135 1.8434 1.9320 0.0779 -4.8172

3.68 3.68 4.74 7.93 1.64 -0.34 3.00 5.19 -1.23 -1.82 -7.22 -8.27 -8.94 5.66 0.45 4.45 0.66 -6.42

14895 8435

9446 6003

4022 1830

Panel (2007+at least one wave)

Stockholding (in differences)

Covariates

Coef.

Robust t

Coef.

Robust t

Score RA Score TP Expected return on stocks Expected variance on future income Wave 2011 Wave 2014

-0.002 -0.002 0.092 -0.193 -0.021 0.023

-1.12 -0.73 1.67 -0.41 -1.06 0.94

-0.0022 -0.0020 0.0886 -0.2232 -0.0321 0.0152

-1.05 -0.72 1.66 -0.47 -1.44 0.57

Age

-0.001

-2.99

-0.0019

-3.28

0.0780 0.0776 -0.0927 -0.0063 0.0064 0.0255 0.0018 -0.0094 -0.0184 2023 1231

2.39 2.38 -0.69 -0.36 0.4 1.69 0.25 -1.11 -0.40

Affected by the crisis less than average Affected by the crisis as the average Affected by the crisis (DK) Education (Bac.) Education (>Bac.) Married Children (at home) Children (out of home) Constant N n 50

0.037 2023 1231

1.11

Panel (2007+at least one wave)

Risky asset portfolio : Propensity to take risk Ordered probit

Covariates Score RA Score TP Age Age squared Income Q2 Income Q3 Income Q4 Income (missing) Gross wealth Q2 Gross wealth Q3 Gross wealth Q4 Gross wealth (missing) Married Education (Bac.) Education (>Bac.) Children (at home) Children (out of home) Wave 2009 Wave 2011 Wave 2014 Parents own stocks ? : Yes Parents own stocks ? : Dk Expected return on stocks Expected variance on future income Constant

51

N n

Coef.

RE (linear)

RE (balanced)

Coef.

t

Coef.

t

-0.0136 -0.0105 0.0038 -0.0001 -0.0077 0.0224 0.0652 0.0500 0.0696 0.0571 0.1949 0.0975 0.0331 0.0613 0.0924 -0.0138 -0.0177 -0.0819 -0.0943 -0.0755 0.0985 -0.0159 0.5530 1.2699 1.3113

-7.90 -3.69 0.88 -1.69 -0.20 0.59 1.61 1.00 2.35 1.99 5.95 2.55 1.32 2.35 3.50 -1.37 -1.70 -5.02 -4.31 -2.25 4.41 -0.76 7.42 1.84 11.43

-0.0110 -0.0035 0.0040 -0.0001 -0.0129 0.0011 0.0509 0.0400 0.0938 0.0915 0.1795 0.0995 0.0437 0.0440 0.0782 -0.0060 -0.0111 -0.0721 -0.0981 -0.0662 0.0608 -0.0433 0.5430 1.6570 1.2664

-4.58 -0.88 0.54 -0.89 -0.26 0.02 0.93 0.66 2.22 2.18 3.81 1.71 1.21 1.24 2.06 -0.46 -0.80 -2.72 -3.56 -1.72 1.88 -1.62 5.12 1.67 6.17

3795 1744

1936 649

Panel (2007+at least one wave)

Propensity to take risk (in differences) Covariates

Score RA Score TP Expected return on stocks Expected variance on future income Wave 2009 Wave 2011 Wave 2014 Age Affected by the crisis less than average Affected by the crisis as the average Affected by the crisis (DK) Education (Bac.) Education (>Bac.) Married Children (at home) Children (out of home) N n 52

Coef.

t

Coef.

t

-0.006 -0.001 0.293 0.457 -0.080 -0.019 0.028

-1.55 -0.24 2.88 0.48 -4.53 -0.79 1.13

-0.006 0.000 0.295 0.444 -0.107 -0.041 0.001 0.000 0.049 0.049 0.112 -0.012 0.033 -0.007 -0.010 -0.006

-1.53 -0.07 2.92 0.47 -1.41 -0.51 0.01 -0.17 0.76 0.75 1.57 -0.42 1.39 -0.32 -0.95 -0.44

1892

1892

1164

1164

Conclusions (1): Has France become more prudent ? §  From mid 2007 to end of 2014, overall: yes, all measures §  Panel data, same individuals §  Score: only age effects, older people being more prudent §  Others: age & period effects: the crisis makes people more prudent

§  Score: France globally more prudent due to composition effects §  Population aging: more old people => significant but limited effect §  Young newcomers: more risk averse over time: great recession babies? §  Preferences are heterogeneous between households & have a significant explanatory power of wealth & portfolio choices §  Other measures polluted: may be OK for unobserved individual heterogeneity (better than nothing), but not for understanding changes in financial behaviours

§  Preference formation: early in life (scores) §  Environment: “depression babies”. Social origin, education, gender & 53

§  Especially parents’ own preferences (correlation = 0.2)

Conclusions (2): the declining rate of stock ownership §  Composition effects for the whole population? §  Lower willingness to take risks in portfolio choices §  2 dependent variables: panel data, at least in 2007 §  No effect of (variation) of preference scores §  Due to higher exposure to (background) income risk (‘hit by the crisis’)

§  And due to more pessimistic asset price expectations §  Δ expected return on stocks §  Δ ‘lagged’ (previous wave) expected return on stocks Ø  Means that stock ownership should not decrease any more after 2014?

§  But stock ownership continues to decrease until march 2016... (puzzle) 54