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Real-Financial Interaction: Implications of Budget Equations and Capital Accumulation

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We investigate the real-financial interaction of an approach of Blanchard to stock market and multiplier dynamics from the stock-flow consistency perspective by including the capacity and the financing effect of the investment decision of firms into the model. We show that the steady state solutions of the Blanchard approach are no longer of relevance here, but rather are replaced by a unique interior long-run solution. We demonstrate asymptotic stability with respect to this steady state when stock market adjustments is sufficiently sluggish, and this even in the case of myopic perfect foresight. In the opposite situation, if stock markets adjustments is made sufficiently fast, the system loses stability by way of a Hopf bifurcation for increasing adjustment speeds of capital gains expectations and will generate purely explosive behavior shortly thereafter. We indicate for this case how a regime (or phase diagram) switching methodology between activated and tranquil stock market behavior may nevertheless ensure global viability of the dynamics, despite the occurence of shorter of longer episodes of explosive financial acceleration, by assuming that stock markets must return to tranquillity after certain thresholds are passed, where financial acceleration due to high adjustment speeds in the market for equities disappear.

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Bibliographic Info

Paper provided by Finance Discipline Group, UTS Business School, University of Technology, Sydney in its series Working Paper Series with number 127.

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Date of creation: 01 May 2003
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Handle: RePEc:uts:wpaper:127

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Keywords: real-financial interaction; stability; hopf-bifurcations; jump-variable methodology; phase diagram switches;

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  1. Carl Chiarella & Peter Flaschel & Willi Semmler, 2001. "Real-Financial Interaction: A Reconsideration of the Blanchard Model with a State-of-Market Dependent Reaction Coefficient," Working Paper Series 111, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  2. Carl Chiarella & Peter Flaschel & Reiner Franke & Willi Semmler, 2003. "Output and the Term Structure of Interest Rates: Ways Out of th Jump-Variable Conundrum," Working Paper Series 125, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  3. Carl Chiarella & Peter Flaschel & Reiner Franke & Willi Semmler, 2002. "Stability Analysis of a High-Dimensional Macrodynamic Model of Real-Financial Interaction: A Cascade of Matrices Approach," Working Paper Series 123, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  4. Benhabib, Jess & Miyao, Takahiro, 1981. "Some New Results on the Dynamics of the Generalized Tobin Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 589-96, October.
  5. Carl Chiarella & Peter Flaschel & Reiner Franke & Willi Semmler, 2001. "Output, Interest and the Stock Market: An Alternative to the Jump Variable Technique," Bulletin of the Czech Econometric Society, The Czech Econometric Society, vol. 8(13).
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  1. Carl Chiarella & Peter Flaschel & Willi Semmler, 2001. "Real-Financial Interaction: A Reconsideration of the Blanchard Model with a State-of-Market Dependent Reaction Coefficient," Working Paper Series 111, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  2. Carl Chiarella & Peter Flaschel & Reiner Franke & Willi Semmler, 2000. "Output, Financial Markets and Growth," Working Paper Series 108, Finance Discipline Group, UTS Business School, University of Technology, Sydney.

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