3 resultados para state dependent and time dependent rules

em Scottish Institute for Research in Economics (SIRE) (SIRE), United Kingdom


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This paper examines the impact of Federal Funds rate (FFR) surprises on stock returns in the United States over the period 1989-2009, focusing on the impact of the recent financial crisis. We find that prior to the crisis, stock prices increased as a response to unexpected FFR cuts. State dependence is also identified with stocks exhibiting larger increases when interest rate easing coincided with recessions, bear stock markets, and tightening credit market conditions. However, an important structural shift took place during the financial crisis, which changed the stock market response to FFR shocks, as well as the nature of state dependence. Specifically, during the crisis period stock market participants did not react positively to unexpected FFR cuts. Our results highlight the severity of the recent financial turmoil episode and the ineffectiveness of conventional monetary policy close to the zero lower bound for nominal interest rates.

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We introduce duration dependent skill decay among the unemployed into a New-Keynesian model with hiring frictions developed by Blanchard/Gali (2008). If the central bank responds only to (current, lagged or expected future) inflation and quarterly skill decay is above a threshold level, determinacy requires a coefficient on inflation smaller than one. The threshold level is plausible with little steady-state hiring and firing ("Continental European Calibration") but implausibly high in the opposite case ("American calibration"). Neither interest rate smoothing nor responding to the output gap helps to restore determinacy if skill decay exceeds the threshold level. However, a modest response to unemployment guarantees determinacy. Moreover, under indeterminacy, both an adverse sunspot shock and an adverse technology shock increase unemployment extremely persistently.

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We propose a non-equidistant Q rate matrix formula and an adaptive numerical algorithm for a continuous time Markov chain to approximate jump-diffusions with affine or non-affine functional specifications. Our approach also accommodates state-dependent jump intensity and jump distribution, a flexibility that is very hard to achieve with other numerical methods. The Kolmogorov-Smirnov test shows that the proposed Markov chain transition density converges to the one given by the likelihood expansion formula as in Ait-Sahalia (2008). We provide numerical examples for European stock option pricing in Black and Scholes (1973), Merton (1976) and Kou (2002).