Working papers results

2012 - n° 439
This paper estimates the impact of longevity risk on pension systems by combining the prediction based on a Lee-Carter (1992) mortality model with the projected pension payments for different cohorts of retirees. We measure longevity risk by the difference between the upper bound of the total old-age pension expense and its mean estimate. This difference is as high as 4 per cent of annual GDP over the period 2040-2050. The impact of longevity risk is sizeably reduced by the introduction of indexation of retirement age to expected life at retirement. Our evidence speaks in favour of a market for longevity risk and calls for a closer scrutiny of the potential redistributive effects of longevity risk.

Emilio Bisetti and Carlo A. Favero
Keywords: stochastic mortality, longevity risk, social security reform
2012 - n° 438
We develop a new theory of delegated investment whereby managers compete in terms of composition of the portfolios they promise to acquire. We study the resulting asset pricing in the inter-manager market. We incentivize investors so that we obtain sharp predictions. Managers are paid a fixed fraction of fund size. In equilibrium, investors choose managers who offer portfolios that mimic Arrow-Debreu (state) securities. Prices in the inter-manager market are predicted to satisfy a weak version of the CAPM: state-price probability ratios implicit in prices of traded assets decrease in aggregate wealth across states. An experiment involving about one hundred participants over six weeks broadly supports the theoretical predictions. Pricing quality declines, however, when fund concentration increases because funds flow towards managers who offer portfolios closer to Arrow-Debreu securities (as in the theory) and who had better recent performance (an observation unrelated to the theory).
Elena Asparouhova, Peter Bossaerts, Jernej Copic, Brad Cornell, Jaksa Cvitanic, Debrah Meloso
2012 - n° 437
We propose a simple theory of predatory pricing, based on incumbency advantages, scale economies and sequential buyers (or markets). The prey needs to reach a critical scale to be successful. The incumbent (or predator) has an initial advantage and is ready to make losses on earlier buyers so as to deprive the prey of the scale the latter needs, thus making monopoly profits on later buyers. Several extensions are considered, including cases where scale economies exist because of demand externalities or two-sided market e ects, and where markets are characterized by common costs. Conditions under which predation may (or not) take place in actual cases are also discussed.
Chiara Fumagalli and Massimo Motta
2012 - n° 436
This paper estimates the effect of employment protection legislation (EPL) on workers' individual wages in a quasi-experimental setting, exploiting a reform that introduced unjust-dismissal costs in Italy for firms below 15 employees and left firing costs unchanged for bigger firms. Accounting for the endogeneity of the treatment status, we find that the slight average wage reduction (between -0:4 and -0:1 percent) that follows the increase in EPL hides highly heterogeneous effects. Workers who change firm during the reform period suffer a in the entry wage, while incumbent workers are left unaffected. Results also indicate that the negative wage effect of the EPL reform is stronger on young blue collars and on workers at the low-end of the wage distribution. Finally, workers in low-employment regions suffer higher wage reductions after the reform. This pattern suggests that the ability of the employers to shift EPL costs onto wages depends on workers' and firms' relative bargaining power.

Marco Leonardi and Giovanni Pica
Keywords: Cost of Unjust Dismissals, Severance Payments, Policy Evaluation, Endogeneity of Treatment Status
2012 - n° 435
The effects of public debt and redistribution are intimately related. We illustrate this in a model with heterogenous agents and imperfect credit markets. Our setup differs from the classic Savers-Spenders model of fiscal policy in that all agents engage in intertemporal optimization, but a fraction of them is subject to a borrowing limit. We show that, despite the credit frictions, Ricardian equivalence holds under flexible prices if the steady-state distribution of wealth is degenerate: income effects on labor supply deriving from a tax redistribution are entirely symmetric across agents. When the distribution of wealth is non-degenerate, a tax cut is, somewhat paradoxically, contractionary. Conversely, sticky prices generate empirically plausible deviations from Ricardian equivalence, even in the case of degenerate wealth distribution. A revenue-neutral redistribution from unconstrained to constrained agents is expansionary, while debt...nanced tax cuts have effects that go beyond their redistributional component: the present-value multiplier of a tax cut is positive due to an interplay of intertemporal substitution by those who hold the public debt and income effects on those who do not.
Florin Bilbiie, Tommaso Monacelli, Roberto Perotti
2012 - n° 434
We study the interaction between a firm that invests in research and, if successful, undertakes a practice to exploit the innovation, and an enforcer that sets legal standards, fines and accuracy. In innovative industries deterrence on actions interacts with deterrence on research. A per-se legality rule prevails when the practice increases expected welfare, moving to a discriminating rule combined with type-I accuracy for higher probabilities of social harm. Moreover, discriminating rules should be adopted more frequently in traditional industries than in innovative environments; patent and antitrust policies are substitutes; additional room for per-se (illegality) rules emerges when fines are bounded.

Giovanni Immordino and Michele Polo
Keywords: legal standards, accuracy, antitrust, innovative activity, enforcement
2012 - n° 433
We give a general integral representation theorem (Theorem 6) for nonadditive functionals de...ned on an Archimedean Riesz space X with order unit. Additivity is replaced by a weak form of modularity, or equivalently dual comonotonic additivity, and integrals are Choquet integrals. Those integrals are de...ned through the Kakutani [8] isometric identi...cation of X with a C (K) space. We further show that our novel notion of dual comonotonicity naturally generalizes and characterizes the notions of comonotonicity found in the literature when X is assumed to be a space of functions.
Simone Cerreia-Vioglio, Fabio Maccheroni, Massimo Marinacci,Luigi Montrucchio
2012 - n° 432
This paper argues that a stable broad money demand for the euro area over the period 1980-2011 can be obtained by modelling cross border international portfolio allocation. As a consequence, model-based excess liquidity measures, namely the difference between actual M3 growth (net of the inflation objective) and the expected money demand trend dynamics, can be useful to predict HICP inflation.

Roberto A. De Santis, Carlo A. Favero and Barbara Roffia
Keywords: Euro area money demand, inflation forecasts, monetary policy, portfolio allocation
2012 - n° 431
Unstability in the comovement among bond spreads in the euro area is an important feature for dynamic econometric modelling and forecasting. This paper proposes a non-linear GVAR approach to spreads in the euro area where the changing interdepence among these variables is modelled by making each country spread function of a global variable determined by fiscal fundamentals with a time-varying composition. The model naturally accommodates the possibility of multiple equilibria in the relation between default premia and local fiscal fundamentals. The estimation reveals a significant non-linear relation between spreads and fiscal fundamentals that generates time-varying impulse response of local spreads to shocks in other euro area countries spreads. The GVAR framework is then applied to the analysis of the dynamic effects of fiscal stabilization packages on the cost of government borrowing and to the evaluation of the importance of potential contagion effects determining a significant increase in cross-market linkages after a shock to a group of countries.

Carlo A. Favero
Keywords: non-linear Global VAR, Bond Spreads in the euro-area, time-varying interdependence, contagion
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