How Monetary Policy Affects Your GDP
Speech given by
Andrew G Haldane
Chief Economist
Bank of England
Finch Lecture, University of Melbourne
10 April 2018
The views expressed here are not necessarily those of the Bank of England or the Monetary Policy
Committee. I would like to thank Phil Bunn, Shiv Chowla, Fergus Cumming, Alice Pugh and
Chris Yeates for their help in preparing the text. I would like to thank James Benford, Tom Belsham,
Ben Broadbent, David Halpern, Michael Hallsworth, Clare Macallan and Michael Saunders for their
comments.
I am honoured to be here at the University of Melbourne to deliver this year's Finch Lecture.
Colin David Finch built his brilliant academic and professional career on nurturing international co-operation
on economic and financial matters: in his studies here at the University of Melbourne and at the London
School of Economics; in his long and distinguished time at the International Monetary Fund; and, in later
life, at the Institute for International Economics in Washington DC.
Citizens of the UK owe Finch a particular debt of gratitude. He led the IMF rescue mission to the UK in 1976.
in many respects, marked the turning point in the UK's economic fortunes. It heralded the start of a
That,
long period of liberalisation and integration of markets in goods, services, people and money. The world
economy broadly mirrored those trends towards increased international liberalisation and integration.
The benefits the world economy has reaped from having pursued that path are now only too clear. Global
integration and co-operation has boosted dramatically flows of goods, services, people and monies. Each is
at levels never previously seen. This, in turn, has helped deliver higher living standards and lower levels of
poverty in pretty much every country on the planet.1 Finch would have wholeheartedly approved.
Looking to the future, however, this wind is at risk of changing direction. The global financial crisis has left
lasting scars. That has created pressure to place speedbumps, or in some cases roadblocks, on flows of
goods, services, people and monies. One of the key policy challenges ahead will be to prevent the hard-won
gains from global integration and co-operation being lost. The stakes could scarcely be higher.
Tonight, I want to discuss a different policy challenge facing policymakers, specifically central banks. It too
has risen in prominence since the global financial crisis. It too has posed big questions about the existing
policy order. And it too needs, I believe, to be tackled transparently and comprehensively if stability and trust
in the international monetary system is to be preserved.
Just before the 2016 referendum on EU membership, Professor Anand Menon of King's College London was
explaining to an audience in Newcastle that, in the view of most economists, leaving the EU would be bad for
their economic health. GDP was likely to fall. A woman rose from the audience and, with finger pointed,
uttered the memorable line: "That's your bloody GDP, not There was no right of reply.
ours!"
Issues of inequality have loomed large in many public debates, not just Brexit, over the past decade or so.
Recent books on the rising tide of inequality by Thomas Piketty, Tony Atkinson, Joe Stiglitz and Branko
Milanovic have, somewhat surprisingly, become best-sellers.2 So too have books by Martin Ford and
Eric Brynjolfsson and Andrew McAfee discussing how the rise of the robots may further worsen these
inequality problems.3
1
See, for example, Carney (2016) and World Bank Group (2016).
2
Piketty (2014), Atkinson (2015), Stiglitz (2013), Milanovic (2016).
3
Ford (2016), Brynjolfsson and McAfee (2016).
At around the same time, monetary policy in a number of countries became more expansionary than at any
time in recent history. Interest rates in a number of advanced economies fell to their lowest-ever levels
-
during the financial crisis. In some countries, additional stimulus was provided through asset purchases
so-called Quantitative Easing or QE. Those asset purchases are currently running at around a cumulative
15% of annual global GDP.4
Given the increased interest in distributional issues, and the increasingly activist role of monetary policy, it is
-
perhaps no surprise that there has been increasing public interest in the fusion of the two that is to say, the
which is what I'm going to talk about
distributional impact of monetary policy itself, today. Chart 1 shows a
simple metric of that increased public interest since the financial crisis based on that most scientific of
metrics, the Google search.
sharp criticism of central banks' actions. Surveys of
Interest in these issues has sometimes spilt over into
the general public have suggested that a large proportion may believe lower interest rates have actually
made them worse off.5 Meanwhile, QE is held by some to have increased inequalities between rich and poor
and to have harmed pension funds and the companies sponsoring them.6
Some have gone further, suggesting that QE may have caused central banks to cross the thin line between
monetary and fiscal policy, between economic policy and political economy.7 Others still have suggested
may have called into question central banks' operational
that these unconventional monetary measures
independence from government in the setting of monetary policy.8
My aim in this lecture is not to resolve these questions, one way or the other. Rather, it is to provide a
-
framework for assessing the first claim that recent monetary policy actions have had a significant
distributional impact. The answer to this question clearly has an important bearing on the broader normative
questions some have posed about the role of central banks.
I begin by explaining why I think distributional issues are relevant to central bankers and to policymakers
generally. This is not always agreed territory. I will then set out a framework for assessing the quantitative
impact of monetary policy on different cohorts of society. This is done in both standard units of
measurement (money amounts and percentages) and in non-standard units (welfare and well-being).
This framework is calibrated using as a case study the loosening of UK monetary policy after the global
financial crisis. The main results are easily summarised. There is nothing to suggest monetary policy has
had significant effects on either income or wealth inequality in the UK over recent years. Indeed, the
4
QE calculated with reference to combined purchases by US, UK, euro-area and Japanese central banks between start-2007 and
end-2017.
5
Bank of England and NMG survey (2017).
6
et al
For example, Lysenko (2016) and Altmann (2009).
7
For example, Buiter (2014).
8
See Bank of England 'Independence 20 Years On' conference:
https://www.bankofengland.co.uk/events/2017/september/20-yearson
loosening of monetary policy after the crisis appears to have delivered significant financial and welfare
benefits to almost all cohorts of the UK economy, albeit often through different channels.
I conclude with thoughts on the implications of this analysis for policymakers. My view is that there is a
strong case for making, on a periodic basis, comprehensive and transparent assessments of the
distributional impact of monetary policy. This would help people understand the purpose and impact of
on them as individuals, on "their GDP".
monetary policy, both on the economy in general and
illustrative examples of a "Monetary Policy Scorecard"
I give some summarising the impact of monetary
actions on particular cohorts. Greater transparency of this type would not, by itself, reduce any distributional
effects of policy. But it could help in explaining the impact of these actions, in a localised and personalised
way, as a means of improving understanding and trust in central banks. Both have been a casualty of the
crisis.
Why Distributions Matter
Let me start with a bald statement: all public policy is distributional, be it monetary, fiscal, structural or social.
The reason I know this is because redistribution is the way public policy works; it is what policy does for a
at a point in
living. Some policies redistribute resources between agents time. Others redistribute resources
between agents over time. If policy is not working through one of these channels, it is not working.
If all policy is distributional, it does not take much of a leap of imagination to see that policymakers may wish
-
to understand and explain its distributional impact. In some policy settings, that already happens in fiscal
policy, social policy, climate change policy, pension policy. Published assessments of policy impact can
improve public understanding of, and debate about, often difficult distributional choices.9
When it comes to monetary policy, the position until recently has been rather different. There has been no
particular clamour for published assessments of the distributional impact of monetary policy. Why? Because
but two "Get Out of Jail" cards. Both have their origin in Milton
monetary policy has benefitted from, not one,
Friedman's 1968 Presidential Address to the American Economic Association, half a century ago.10
The first follows from the neutrality of monetary policy with respect to real variables over the longer run.11
Typically, this neutrality is associated with the total level of resources in the economy, such as employment
-
or output the vertical long-run Phillips curve. But neutrality applies, with no less force, to the distribution of
resources in the economy, whether between sectors or regions. In theory, monetary policy ought also to be
neutral in its longer-run impact on economic inequality.
9
For example, Ball et al (2013) and Büchs et al (2011).
10
Friedman (1968).
11
Patinkin (1987) traces the history of thought relating to the neutrality of money.
-
The second Friedman point is that the monetary policy tools of the trade should be simple and singular for
example, the money supply or short-term interest rate. These instruments are levied at an economy-wide
level. Central banks simply cannot set different interest rates for different sectors or individuals or regions.
Monetary policy tools are thus too blunt an instrument to offset distributional differences.
So whether viewed from an objectives or instruments perspective, the case for monetary policy needing to
take much account of its distributional impact is weaker than for the other arms of public policy, such as fiscal
and social policy. The latter have objectives which are often explicitly distributional and their instruments are
better-equipped to achieve such redistribution. This much is relatively well-accepted in academic circles.12
It does not follow from that, however, that distributional effects are irrelevant in the setting of monetary policy.
Both in theory and in practice, there are several reasons why distributional effects might still matter to
monetary policy and to monetary policymakers and hence why understanding and explaining these effects
might be important public policy-wise.13
First, even though it may be neutral over the longer-run, monetary policy can and does have potent effects
on the economy over the shorter-term, including potentially on the distribution of resources. This should not
be a bone of contention. We know this is likely to be the case because this is the very reason monetary
policy is non-neutral in the first place. Monetary policy, like all policy, relies on redistribution for its efficacy.
For example, changes in interest rates redistribute interest payments between savers and borrowers at any
point in time. They also affect, over time, the balance between saving and borrowing in the economy.
Central bank asset purchases potentially affect differently those with assets and those with debt, as well as
affecting the balance between asset and debt-holding over time. This is how monetary policy works.
When it comes to understanding how (indeed, whether) monetary policy is working, then, it is important to
understand and monitor these distributional moving parts. Distributional analysis provides a window on the
monetary policy engine at work. For example, when interest rates change it is important to gauge not only
how cash flow switches between savers and borrowers, but whether it is being saved or spent.14
Second, explaining the distributional impact of monetary policy is potentially important for building and
maintaining understanding and trust among the general public in these policies. It can help preserve that
all-important social contract between policymakers and citizens.15 Doing so effectively may call for
explaining the impact of policy on the general public, not just at an aggregate level but on a disaggregated
basis.
12
For example, Lipton (2014) and Coeuré (2012).
13
For example, Haldane (2016) and Carney (2016).
14
Bunn et al (2015).
15
Haldane (2017).
people's
Third, the ultimate yardstick of policy success is its impact on well-being. That is affected
importantly by how the effects of policy are distributed across society. A rise in aggregate GDP in an
economy need not necessarily mean higher welfare for all its citizens or regions, as the lady in the audience
made clear. The more uneven the distribution of winners and losers, and the greater the skew in gains, the
less likely it is aggregate social welfare will have risen.
When it comes to evidence on the distributional impact of monetary policy, there are wide gaps in
understanding and even wider gaps in perception. Even among policymakers and academics, work in this
area remains embryonic and the results are often ambiguous.16 If I were summarising this research
evidence, I would say it suggests monetary policy can and has affected inequality, but that these effects
have probably been modest quantitatively.
There are a number of reasons why existing research may not have been clear-cut in its conclusions.
Studies have used different measures of monetary impulse (interest rates versus QE) and different
methodologies (macro versus micro). Perhaps most importantly, these studies have tended to focus on
different monetary policy transmission channels. Doing so can give quite different perspectives on the
impact of monetary policy on overall inequality.
The general public probably suffers from a particularly acute version of this problem. When asked to assess
the impact of changes in monetary policy, they tend to focus on those channels which have an observable
and immediate impact on their finances. These are likely to include the cash flow effects of interest rate
changes on interest payments and receipts and the effects of asset prices on wealth portfolios.
For example, when asked about whether lower interest rates have benefitted them, around a third of the UK
- - -
public and more than half of those aged over 50 suggest not.17 Within that group, a large majority
around 80% - focus only on the negative effects of lower rates on their savings income. This is only one of
the channels through which monetary policy works, albeit the most immediate and observable.
It is far harder for the public to take account of the other channels, many of them neither immediate nor
observable, through which a relaxation of monetary policy might benefit them. This includes the effects of
looser policy in boosting wages and jobs. Not taking account of these channels can give a distorted lens on
the economy at large, on inequality and on individuals'
the impact of policy on personal finances.
To gauge fully the distributional impact of monetary policy, then, we need to capture as many as possible of
its transmission channels, direct and indirect, immediate and slower-moving. It is only by considering all of
these channels in combination that we can then properly evaluate the impact of monetary policy on the
income, wealth and welfare of people and the distribution of these effects. It is to those we now turn.
16
Recent summaries of the literature are contained in Deutsche Bundesbank (2016) and Monnin (2017). The Bank of England working
paper on this topic (Bunn, Pugh and Yeates (2018) on which this speech draws) contains a good survey of the recent literature.
17
April 2017 NMG Consulting survey of households, as discussed in Bunn et al (2018).
Assessing the Quantitative Impact of Monetary Policy
We develop a quantitative framework to measure the impact of monetary policy on the economy as a whole
and on different cohorts within it. We use the UK as a case study. The framework draws heavily on recent
research by Bank of England staff, Phil Bunn, Alice Pugh and Chris Yeates. Their working paper contains
full details of the exercise, which involves three broad steps.18 As with any quantitative analysis, there are of
course uncertainties and confidence intervals around the results. As such, the broad qualitative conclusions
are probably worth emphasising more than any precise figures.
Step One: Starting Distributions
The starting point is an initial set of distributions for the variables of interest, looking across a representative
sample of households. For this exercise, data are taken primarily from the Wealth and Asset Survey (WAS),
a biennial survey of UK households' assets and debts.19
Specifically, we focus on a fixed panel of 10,000
households across 4 waves of this survey between 2006-08 and 2012-14.
The survey design and sampling means these households are broadly representative of the UK population
as a whole.20 It is well-known, however, that household surveys tend to under-sample the tails of the income
and wealth distribution, in particular the upper tail.21 In the analysis, we focus on the Gini coefficient and the
("90/10 ratio") as measures of inequality.
ratio of the 90th to the 10th percentile of the distribution
Charts 2 and 3 plot the distribution of income and net wealth across UK households just prior to the crisis.22
This is the starting date for the exercise, after which UK monetary policy was loosened materially. As is
well-known, these distributions are extremely uneven. For example, in 2007 the richest 10% of households
accounted for around a quarter of total income and over 40% of wealth.
At the other end of the distribution, the whole bottom half of households by income accounted for only
around a quarter of income in the economy and only around 10% of net wealth. Around 50% of households
earned less than £20,000 in income each year and around 40% had fewer than £90,000 in net wealth.
Age is an important factor shaping these distributions, as life-cycle theory would suggest. Chart 4 plots the
net wealth distribution by age. Those over 50 account for around 80% of aggregate net wealth and those
over 70 for around a quarter. By contrast, those under 30 account for less than 5% of wealth. In general,
the young are borrowers with a stock of debt, the old are savers with a pool of assets.
18
et al
Bunn (2018).
19
We also use the Family Resources Survey (FRS) for household incomes.
20
See
https://www.ons.gov.uk/peoplepopulationandcommunity/personalandhouseholdfinances/debt/methodologies/wealthandassetssurveyqmi
21
As discussed in Vermeulen (2016), for example. The ONS Wealth and Asset Survey is probably the UK household survey with the
best coverage of the tails of the distribution.
22
The measure of wealth used is net total wealth, comprising financial, property, physical and pension assets, net of debt. There is a
question about how much households are aware of pension wealth, and therefore value it. The distributions are not especially sensitive
to whether pension wealth is included.
If we overlay the income and wealth distributions in 2007 and 2013 (the end-date for our exercise), these are
pretty-much identically-shaped (Charts 5 and 6). On that basis alone, there has not been any clear shift in
income or wealth inequality since the crisis. Standard summary measures of inequality, such as the Gini
coefficient, confirm that conclusion: for both income and wealth, the Gini is largely unchanged.23
On the face of it, then, this does not strongly suggest that the relaxation of monetary policy since the crisis
has significantly worsened inequality. Unless, that is, other factors have more than counterbalanced the
effect of monetary policy. To assess that, we need to identify the distinct impact of monetary policy on the
economy, both in aggregate and looking across the household distribution.
Step Two: Calibrating the Impact of Monetary Policy
The policy episode we consider is the relaxation of UK monetary policy after the global financial crisis.
These actions by the Bank's Monetary Policy Committee (MPC)
comprised: first, the reduction of short-term
interest rates by 5 percentage points (from 5.5% to 0.5%) between February 2008 and March 2009; and
second, the purchase of £375 billion of government securities between March 2009 and mid-2012.
In combination, these measures represented a very significant relaxation of UK monetary policy, perhaps the
largest in the Bank of England's history. We consider
their combined effects, as interest rates and QE were
part of a single monetary policy strategy by the MPC. Nonetheless, given their potentially different
distributional consequences, we also consider the effects of QE and interest rates separately.
To trace out the impact of these monetary interventions on the economy and on households, we use a
macro-to-micro simulation approach. This involves two mappings. The first is from the monetary impulse to
a small set of macro-economic aggregates (interest rates, employment, wages, equity and house prices and
consumer prices). This is done using the Bank of England's macro-economic model.
Charts 7-9 show the effects of the combined monetary stimulus on aggregate GDP, unemployment and CPI
inflation.24 Without the monetary stimulus, GDP in the UK would have been around 8% lower,
unemployment 4 percentage points higher and the level of consumer prices 20% lower. Although there are
significant uncertainties around these estimates, especially at crisis time, these effects are clearly large.
The second mapping is from these macro-economic aggregates to the balance sheets of households. This
mapping focusses on four main channels of transmission: (a) cash flow channel (the direct effects on
households' labour income channel
interest payments and receipts); (b) (the effect on household wages and
23
The same is true of other measures of inequality, such as the 90/10 ratio. Sampling issues mean caution is needed when
interpreting in particular the wealth-based measures of inequality.
24
See Carney (2016) and Haldane (2016) for more details. Lower interest rates and QE operate through slightly different transmission
channels.
employment); (c) wealth channel (the effect on households' financial, housing and pension wealth); and (d)
inflation channel (the effect of prices on real household deposits and debt).25
The key point is that these multiple channels of monetary transmission are fully recognised and calibrated.
Some of these channels are direct and immediate, such as cash flow. Others are indirect and slower-acting,
such as labour income. By combining them, we can calibrate the general equilibrium consequences of the
UK's
monetary relaxation on the economy, in aggregate and across cohorts.
As we would expect, the potency of these channels varies across households depending on their
characteristics. For example, the strength of the cash flow effect depends on individuals' stock of
interest-bearing assets and liabilities. The labour income channel depends on the skills and age of the
household. And the wealth channel depends on the size and composition of their wealth portfolio.
Step Three: Final Distributions
we can calculate the impact of the MPC's monetary loosening on different
With these mappings, household
cohorts. Charts 10 and 11 plot this effect on household income, looking across the income distribution. This
26
shown on both a "money amount" and "percentage of income" basis.
impact is These effects are also split
between the "cash flow" and "labour income" channels.
The average household has gained in income terms by around £1,500 each year, or close to £9,000
cumulatively, from the MPC's monetary loosening. Put differently, the average household would have been
around 5% worse off each year had monetary policy not been loosened in response to the financial crisis.
The lion's share of this boost
resulted from the positive impact of looser policy on jobs and wages. This is a
slower-moving, harder to observe, channel by which monetary policy benefits households, but clearly a
quantitatively important one.
Looking at the distribution of these income gains across deciles, these are reasonably evenly spread as a
percentage of income. The percentage gains are slightly lower among lower income households and are
slightly negative for the lowest income decile. Nonetheless, if we calculate a Gini coefficient or 90/10 ratio
based on these distributions, they are largely unaffected by the monetary policy loosening.27
If we look at money amounts, rather than percentages, the balance of benefits is significantly more uneven.
Around half the total income gain accrues to the top two income deciles. But this reflects the highly uneven
distribution of income prior to the crisis, rather than telling us anything about the effects of monetary policy.
These monetary gains may, nonetheless, have had a bearing on public perceptions of monetary policy.
25
Bunn et al (2018) provide details on these mappings and the assumptions they make in arriving at them.
26
'money amount'
The numbers that follow in this section refer to real income, defined in 2013 prices.
27
Bunn et al (2018) provide more details.
Turning to wealth, Charts 12 and 13 do the equivalent analysis looking along the wealth distribution. As with
income, the average UK household has benefitted significantly in net wealth terms from looser monetary
-
policy, by on average almost £90,000 or 20% of net wealth. All asset classes have benefitted financial,
housing and pension. These gains arise from the boost to asset prices from looser monetary policy.
As with income, in percentage terms these gains are evenly spread across the distribution. Every wealth
decile has gained from looser policy. Also as with income, the net effect of monetary policy on measures of
wealth inequality is negligible. The unequal prior distribution means, however, that monetary gains are
heavily skewed, with the top two deciles accounting for 60% of total net wealth gains.
age
Charts 14-17 look at the effect of monetary policy on income and wealth looking across the distribution.
They show some notable generational differences. In percentage terms, the income gains from looser
monetary policy have been largest among the young, largely due to improved employment prospects.28
Recessions typically generate sharper rises in unemployment among those who are less educated or less
skilled, so it is also worth noting that the loosening in monetary policy during the crisis played an important
role in limiting that effect. Older cohorts, by contrast, lost out in income terms due to lower interest receipts
on their savings.
By contrast, wealth gains have been evenly spread across the age distribution in percentage terms, with
every cohort gaining. In money terms, the largest beneficiaries have been older age groups, the value of
whose pensions and houses have been boosted by the policy-induced rise in asset prices. Looking at the
oldest age group, this boost to wealth has exceeded their income losses by a factor of around 10.
Looking at the effects of monetary policy by region, the benefits of monetary policy on incomes have been
evenly spread in percentage terms (Charts 18 and 19). Monetary policy has not caused any significant
widening in regional inequality. Given the unequal starting position, however, the distribution of monetary
gains for both income and net wealth is heavily skewed, with a quarter centred in London and the
South-East.
Charts 20 and 21 look separately at the effects of lower interest rates and QE, respectively, on the income
distribution. Although part of the same strategy, these two instruments clearly operate through different
channels and have different distributional effects. The effects of QE are predictably slanted towards financial
wealth effects, while the effects of Bank Rate operate more through net interest income and house price
channels.
This analysis suggests that, with few exceptions, the impact of looser monetary policy on different cohorts of
society has been positive and significant in income and wealth terms. Another way of making this point is to
28
Though a notable feature of the UK's recovery has been that, notwithstanding the positive effects of monetary policy, the
real income
of younger people has fallen further and recovered more slowly than older age groups (Haldane (2016)).
ask what fraction of households are likely to have been made worse off from the loosening of UK monetary
policy. Taking income and wealth effects together, only 4% of households were made £500 or more worse
off.29
At the same time, this analysis has made clear that there are often large differences in the nature and scale
of impact across cohorts. Some households will have seen these benefits through higher employment,
others through lower debt payments, others still through higher wealth. Even if people observed and
understood all of these channels, their lived experience would have been quite different.
people's understanding of
In practice, we know these channels is partial and imperfect. Some channels are
hard to observe or take time to take effect, such as the quantitatively important effect of monetary policy in
boosting jobs and hence household labour income. It will have been difficult for households to tie the effects
of looser monetary policy to their improved job prospects, given the long lags in transmission.
People's subjective
sense of well-being might also be influenced by more than their percentage gains. How
people's
gains, in money terms, compare with others' monetary gains might also matter. In experimental
settings, these relativities often matter to people's sense of fairness and hence
and real-world well-being.30
With that in mind, we now turn to a fully-fledged welfare analysis of the impact of monetary policy.
Assessing the Welfare Impact of Monetary Policy
Assessing the impact of monetary policy on the welfare of different cohorts is interesting for several reasons.
is the sum of individuals' subjective - -
First, it well-being that is, social welfare that ought ultimately to
even though policymakers' legal mandates are typically cast in terms of a set of
matter for policymakers,
more objective macro-economic measures, such as inflation and employment.31
Second, translating estimates of financial gain into welfare terms can help when deciding how best to
aggregate across different channels to gauge their general equilibrium impact. For example, how do we
appropriately aggregate changes to income and wealth in their impact on well-being? And should we focus
welfare?
on percentage or money changes when judging the impact on people's
29
Carney (2016) notes that just 2% of households have deposit holdings in excess of £5,000, few other financial assets, and do not
own a home. Therefore, "the vast majority of savers who might have lost some interest income from lower policy rates have stood to
gain from increases in asset prices, particularly the recovery in house prices."
30
As discussed in Ball and Chernova (2008) and Clark, Frijters and Shields (2007), for example.
31
Taking the sum of individuals' utility is consistent with a
Benthamite utilitarian concept of social welfare, but other specifications are
possible. A Rawlsian specification, for example, would define social welfare as the wellbeing of the worst off member of society.
In principle, a welfare-based analysis allows us to answer those questions. Doing so is not, however, simple.
In algebraic terms, consider a utility function of the general form:
U = ∅(α(y), α(w), α(X))
Let's call this Equation (1). U y w
is utility, is income and is wealth. To turn our quantitative estimates into
welfare-equivalent measures, three empirical uncertainties loom large. First, calibrating the weights on
α
current and permanent income (wealth), and α; second, determining which variables other than income
and wealth affect well-being, X, and with what weight, α; and, third, calibrating the curvature of the utility
function with respect to its arguments, ∅.
That is a lot of free parameters. One approach to pinn