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We consider the continuous-time portfolio optimization problem of an investor with constant relative risk aversion who maximizes expected utility of terminal wealth. The risky asset follows a jump-diffusion model with a diffusion state variable. We propose an approximation method that replaces the jumps by a diffusion and solve the resulting problem analytically. Furthermore, we provide explicit bounds on the true optimal strategy and the relative wealth equivalent loss that do not rely on results from the true model. We apply our method to a calibrated affine model and fine that relative wealth equivalent losses are below 1.16% if the jump size is stochastic and below 1% if the jump size is constant and γ ≥ 5. We perform robustness checks for various levels of risk-aversion, expected jump size, and jump intensity.
The European Commission recently put forward a proposal for a regulation to amend and strengthen the 2009 version of the EU's rules on the regulation of credit rating agencies ("CRA3"). Among other things, Art. 35a of the draft proposal introduces strict liability for rating agencies. This liability proposal is at odds with the aim to strengthen competition in the rating sector and could have a chilling effect on capital markets. The paper analyses existing rules on civil liability of rating agencies under different legal systems. Subsequently, the provision under Art. 35a of the Draft Proposal is examinded more closely. Suggestions on possible improvemts of the proposal are made.
The efficacy of monetary authority actions depends primarily on the ability of the monetary authority to affect inflation expectations, which ultimately depend on agents' trust. We propose a model embedding trust cycles, as emerging from sequential coordination games between atomistic agents and the policy maker, in a monetary model. Trust affects agents' stochastic discount factor, namely the price of future risk, and their expectation formation process: these effects in turn interact with the monetary transmission mechanism. Using data from the Eurobarometer survey we analyze the link between trust on the one side and the transmission mechanism of shocks and of the policy rate on the other: data show that the two interact significantly and in a way comparable to the obtained in our model.
We use responses to survey questions in the 2010 Italian Survey of Household Income and Wealth that ask consumers how much of an unexpected transitory income change they would consume. We find that the marginal propensity to consume (MPC) is 48 percent on average, and that there is substantial heterogeneity in the distribution. We find that households with low cash-on-hand exhibit a much higher MPC than affluent households, which is in agreement with models with precautionary savings where income risk plays an important role. The results have important implications for the evaluation of fiscal policy, and for predicting household responses to tax reforms and redistributive policies. In particular, we find that a debt-financed increase in transfers of 1 percent of national disposable income targeted to the bottom decile of the cash-on-hand distribution would increase aggregate consumption by 0.82 percent. Furthermore, we find that redistributing 1% of national disposable income from the top to the bottom decile of the income distribution would boost aggregate consumption by 0.33%.
This paper investigates risk-taking in the liquid portfolios held by a large panel of Swedish twins. We document that the portfolio share invested in risky assets is an increasing and concave function of financial wealth, leading to different risk sensitivities across investors. Human capital, which we estimate directly from individual labor income, also drives risk-taking positively, while internal habit and expenditure commitments tend to reduce it. Our micro findings lend strong support to decreasing relative risk aversion and habit formation preferences. Furthermore, heterogeneous risk sensitivities across investors help reconcile individual preferences with representative-agent models.
This paper studies the relation between firm value and a firm's growth options. We find strong empirical evidence that (average) Tobin's Q increases with firm-level volatility. However, the significance mainly comes from R&D firms, which have more growth options than non-R&D firms. By decomposing firm-level volatility into its systematic and unsystematic part, we also document that only idiosyncratic volatility (ivol) has a significant effect on valuation. Second, we analyze the relation of stock returns to realized contemporaneous idiosyncratic volatility and R&D expenses. Single sorting according to the size of idiosyncratic volatility, we only find a significant ivol anomaly for non-R&D portfolios, whereas in a four-factor model the portfolio alphas of R&D portfolios are all positive. Double sorting on idiosyncratic volatility and R&D expenses also reveals these differences between R&D and non-R&D firms. To simultaneously control for several explanatory variables, we also run panel regressions of portfolio alphas which confirm the relative importance of idiosyncratic volatility that is amplified by R&D expenses.
This note reviews the legal issues and concerns that are likely to play an important role in the ongoing deliberations of the Federal Constitutional Court of Germany concerning the legality of ECB government bond purchases such as those conducted in the context of its earlier Securities Market Programme or potential future Outright Monetary Transactions.
This study contains articles based on speeches and presentations at the 14th CFS-IMFS Conference "The ECB and its Watchers" on June 15, 2012 by Mario Draghi, John Vickers, Peter Praet, Lucrezia Reichlin, Vitor Gaspar, Lucio Pench and Stefan Gerlach and a post-conference outlook by Helmut Siekmann and Volker Wieland.
This note proposes a new set-up for the fund backing the Single Resolution Mechanism (SRM). The proposed fund is a Multi-Tier Resolution Fund (MTRF), restricting the joint and several supranational liability to a limited range of losses, bounded by national liability at the upper and the lower end. The layers are, in ascending order: a national fund (first losses), a European fund (second losses), the national budget (third losses), the ESM (fourth losses, as a backup for sovereigns). The system works like a reinsurance scheme, providing clear limits to European-level joint liability, and therefore confining moral hazard. At the same time, it allows for some degree of risk sharing, which is important for financial stability if shocks to the financial system are exogenous (e.g., of a supranational macroeconomic nature). The text has four parts. Section A describes the operation of the Multi-Tier Resolution Fund, assuming the fund capital to be fully paid-in (“Steady State“). Section B deals with the build-up phase of the fund capital (“Build up“). Section C discusses how the proposal deals with the apparent incentive conflicts. The final Section D summarizes open questions which need further thought (“Open Questions“).
We assess the effects of monetary policy on bank risk to verify the existence of a risk-taking channel - monetary expansions inducing banks to assume more risk. We first present VAR evidence confirming that this channel exists and tends to concentrate on the bank funding side. Then, to rationalize this evidence we build a macro model where banks subject to runs endogenously choose their funding structure (deposits vs. capital) and risk level. A monetary expansion increases bank leverage and risk. In turn, higher bank risk in steady state increases asset price volatility and reduces equilibrium output.