Residential Investment and Business Cycles in an Open Economy: A Generalized Impulse Response Approach

We study the impact of residential and non-residential investment on economic growth using U.S. data. Unlike previous studies we include the external sector (net exports) in our estimations, and we calculate impulse response analysis using Pesaran and Shin’s (Economics Letters 58:17–29, 1998) generalized impulse response approach. We find that shocks to residential investment have a larger impact on GDP than shocks to non-residential investment, which supports the findings of the closed-economy approach of Coulson and Kim (Real Estate Economics 28:233–247, 2000). However, a closed economy model tends to overstate the importance of residential investment and understate the relevance of nonresidential investment.

Pricing derivatives of American and game type in incomplete markets

In this paper the neutral valuation approach is applied to American and game options in incomplete markets. Neutral prices occur if investors are utility maximizers and if derivative supply and demand are balanced. Game contingent claims are derivative contracts that can be terminated by both counterparties at any time before expiration. They generalize American options where this right is limited to the buyer of the claim. It turns out that as in the complete case, the price process of American and game contingent claims corresponds to a Snell envelope or to the value of a Dynkin game, respectively.On the technical level, an important role is played by -sub- and -supermartingales. We characterize these processes in terms of semimartingale characteristics.Received: June 2003, Mathematics Subject Classification (2000):   91B24, 60G48, 91B16, 91A15, 60G40JEL Classification:   G13, D52, C73The authors want to thank PD Dr. Martin Beibel for the idea leading to the proof of Proposition A.4 and both anonymous referees for many valuable comments. The second author gratefully acknowledges financial support by the Deutsche Forschungsgemeinschaft through the Graduiertenkolleg Angewandte Algorithmische Mathematik at Munich University of Technology and by the Fonds zur Förderung der wissenschaftlichen Forschung at Vienna University of Technology.