The Money Demand with Random Output and Limited Access to Debt

Mierzejewski, Fernando (2007): The Money Demand with Random Output and Limited Access to Debt.

Abstract

The money-demand of the economy is characterised, when national output is random and investors cannot attract any level of debt at any moment without incurring in additional costs. The optimal cash balance is then expressed as the probability-quantile (or Value-at-Risk) of the series of capital returns on income, and in this way, it is explicitly determined by risk. As a consequence, the interest-rate-elasticity depends on the kind of risks and expectations, in such a way that the more unstable the economy, the greater the interest-rate-elasticity of the money-demand. Therefore, the effectiveness of monetary policy is increased by diminishing the variability of output. Moreover, since flows of capital can affect the riskiness of financial securities by modifying the amounts involved in transactions, part of the adjustment to reestablish the short-run monetary equilibrium can be performed through volatility shocks. Finally, for different parametrisations of risks, aggregated parameters are expressed as the weighted average of sectorial estimations, so that multiple equilibria of the economy are allowed.

• Item Type: MPRA Paper
• Language: English
• Keywords: Money demand; Monetary policy; Economic capital; Distorted risk principle; Value-at-Risk
• Subjects: G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E44 - Financial Markets and the Macroeconomy; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E41 - Demand for Money

References

[1] Atta-Mensah, J., 2004. Money Demand and Economic Uncertainty. Bank of Canada Working Paper Series, [online]. Working Paper No. 2004-25. Available at: http://www.bank-banque-canada.ca/en/res/wp/index.html [cited 19 June 2007]. [2] Ball, L., 2001. Another look at long-run money demand. Journal of Monetary Economics 47 (1), pp.31-44. [3] Calza, A. and Sousa, J., 2003. Why has Broad Money Demand been more stable in the Euro Area than in other Economies? A literature review. European Cen- tral Bank Working Paper Series, [online]. Working Paper No. 261. Available at: http://www.ecb.int/pub/pubbydate/2003/html/index.en.html [cited 19 June 2007]. [4] Carpenter, S.B. and Lange, J., 2002. Money Demand and Equity Markets. Board of Governors of the Federal Reserve System and Cornerstone Research, [online]. Avail- able at: http://www.federalreserve.gov/pubs/feds/2003/200303/200303abs.html [cited 19 June 2007]. [5] Choi, W.G. and Oh, S., 2003. A Money Demand Function with Output Uncertainty, Monetary Uncertainty, and Financial Innovations. Journal of Money, Credit and Bank- ing 35 (5), pp.685-709. [6] Collins, S. and Edwards, C.L., 1994. An Alternative Monetary Aggregate: M2 Plus Household Holdings of Bond and Equity Mutual Funds. The Fed- eral Reserve Bank of St. Louis Review, [online], 76 (6), pp.7-30. Available at: http://research.stlouisfed.org/publications/review/past/1994/ [cited 19 June 2007]. [7] De Finetti, B., 1975. Theory of probability: a critical introductory treatment. London: Willey Series in Probability and Mathematical Statistics. [8] Dhaene, J., Denuit, M., Goovaerts, M., Kaas, R. and Vyncke, D., 2002. The Concept of Comonotonicity in Actuarial Science and Finance: Theory. Insurance: Mathematics & Economics 31 (1), pp.3-33. [9] Dhaene, J., Goovaerts, M. and Kaas, R., 2003. Economic Capital Allocation Derived from Risk Measures. North American Actuarial Journal 7 (2), pp.44-59. [10] Dreger, C. and Wolters, J., 2006. Investigating the M3 Money Demand in the Euro Area — New Evidence Based on Standard Models. Discussion Papers of the Ger- man Institute for Economic Research, [online]. Working Paper No. 561. Available at: http://ideas.repec.org/p/diw/diwwpp/dp561.html [cited 19 June 2007]. [11] Duca, J.V., 2000. Financial Technology Shocks and the Case of Missing M2. Journal of Money, Credit and Banking 32 (4), pp.820-839. [12] Friedman, M., 1970. A Theoretical Framework for Monetary Analysis. The Journal of Political Economy 78 (2), pp.193-238. [13] Goldfeld, M., 1976. The Case of the Missing Money. Brookings Papers on Economic Activity 1976 (3), pp.683-739. [14] Goovaerts M.J., Van den Borre E. and Laeven R., 2005. Managing economic and virtual economic capital within financial conglomerates. North American Actuarial Journal 9 (3), pp.77-89. [15] Greiber, C. and Lemke, W., 2005. Money Demand and Macroeconomic Uncertainty. Deutsche Bundesbank, Discussion Paper, Series 1: Economic Studies, [online], No. 26. Available at: http://ideas.repec.org/p/zbw/bubdp1/4220.html [cited 19 June 2007]. [16] Howells, P. and Bain, K., 2005. The Economics of Money, Bankig and Finance. Prentice Hall. [17] Keynes, J.M., 1935. The General Theory of Employment, Interest and Money. New York. [18] Mandelbrot, B., 1963a. New Methods in Statistical Economics. The Journal of Political Economy 71 (5), pp.421-440. [19] Mandelbrot, B., 1963b. The Variation of Certain Speculative Prices. The Journal of Business 36 (4), pp.394-419. [20] Merton, R.C., 1997. A model of contract guarantees for credit-sensitive, opaque financial intermediaries. European Finance Review 1 (1), pp.1-13. [21] Mierzejewski, F., 2006. Economic Capital Allocation under Liquid- ity Constraints. Proceedings of the 4th Actuarial and Financial Math- ematics Day, [online], February 2006, pp.107-116. Available at: http://www.afmathday.ugent.be/index.php?page=formereditions [cited 19 June 2007]. [22] Modigliani, F., 1977. The Monetarist Controversy or, Should We Forsake Stabilization Policies? The American Economic Review 67 (2), pp.1-19. [23] Modigliani, F. and Miller, M.H., 1958. The Cost of Capital, Corporation Finance and the Theory of Investment. The American Economic Review 48 (3), pp.261-297. [24] Sharpe, W. F., 1966. Mutual Fund Performance. The Journal of Business 39 (1), Part 2: Supplement on Security Prices, pp.119-138. [25] Teles, P. and Zhou, R., 2005. A Stable Money Demand: Looking for the Right Monetary Aggregate. Economic Perspectives, 1Q/2005, pp.50-63. [26] Tobin, J., 1947. Liquidity Preference and Monetary Policy. The Review of Economic Statistics 29 (2), pp.124-131. [27] Tobin, J., 1958. Liquidity Preference as Behavior Towards Risk. The Review of Economic Studies 25 (2), pp.65-86. [28] Wang, S., 1995. Insurance pricing and increased limits ratemaking by proportional hazards transforms. Insurance: Mathematics & Economics 17 (1), pp.43-54. [29] Wang, S., Young, V. and Panjer, H., 1997. Axiomatic characterization of insurance prices. Insurance: Mathematics & Economics 21 (2), pp.173-183.