Mierzejewski, Fernando (2008): The optimal liquidity principle with restricted borrowing.
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A model is presented to characterise the (optimal) demand for cash balances in deregulated markets. After the model of James Tobin, 1958, net balances are determined in order to maximise the expected return of a certain portfolio combining risk and capital. Unlike the model of Tobin, however, the price of the underlying exposures are established in actuarial terms. Within this setting, the monetary equilibrium determines the rate at which a unit of capital is exchange by a unit of exposure to risk, or equivalently, it determines the market price of risk. In a Gaussian setting, such a price is expressed as a mean-to-volatility ratio and can then be regarded as an alternative measure to the Sharpe ratio. The effects of credit and monetary flows on money and security markets can be precisely described on these grounds. An alternative framework for the analysis of monetary policy is thus provided.
|Item Type:||MPRA Paper|
|Original Title:||The optimal liquidity principle with restricted borrowing|
|Keywords:||Liquidity-preference; Money demand; Monetary equilibrium; Market price of risk; Sharpe ratio|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions
G - Financial Economics > G2 - Financial Institutions and Services > G22 - Insurance ; Insurance Companies ; Actuarial Studies
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
|Depositing User:||Fernando Mierzejewski|
|Date Deposited:||07. Jan 2009 00:54|
|Last Modified:||23. Apr 2015 10:35|
 Billet, M.T. and Garfinkel, J.A., 2004. Financial Flexibility and the Cost of External Finance for U.S. Bank Holding Companies. Journal of Money, Credit and Banking 36 (5), pp. 827-852.
 Blanchard, O., 2005. Macroeconomics. Prentice Hall. 4th. Edition.
 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 Central Bank Working Paper Series. Working Paper No. 261.
 Choi, W.G. and Oh, S., 2003. A Money Demand Function with Output Uncertainty, Monetary Uncertainty, and Financial Innovations. Journal of Money, Credit and Banking 35 (5), pp. 685-709.
 Cox, J.C. and Ross, S.A. 1976. The Valuation of Options for Alternative Stochastic Processes. Journal of Financial Economics 3 (1976), pp. 145-166.
 De Finetti, B., 1975. Theory of Probability: a Critical Introductory Treatment. Willey Series in Probability and Mathematical Statistics. London.
 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.
 Dhaene, J., Goovaerts, M. and Kaas, R., 2003. Economic Capital Allocation Derived from Risk Measures. North American Actuarial Journal 7 (2), pp. 44-59.
 Duca, J.V., 2000. Financial Technology Shocks and the Case of Missing M2. Journal of Money, Credit and Banking 32 (4), pp.820-839.
 Edwards, Ch.L. and Sinzdak, G. 1997. Open Market Operations in the 1990s. Federal Reserve Bank Bulletin, November 1997, pp. 859-874.
 Fama, E.F., 1970. Efficient Capital Markets: A Review of Theory and Empirical Work. Journal of Finance 25 (2), pp. 383-417.
 Fama, E.F., 1998. Market Efficiency, Long-Term Returns and Behavioral Finance. Journal of Financial Economics 49, pp. 283-306.
 Faulkender, M. and Wang, R., 2006. Corporate Financial Policy and the Value of Cash. The Journal of Finance 61 (4), pp. 1957-1990.
 Friedman, M., 1966. Interest Rates and the Demand for Money. Journal of Law and Economics 9 (Oct. 1966), pp. 71-85.
 Friedman, M., 1968. The Role of Monetary Policy. The American Economic Review 58 (1), pp. 1-17.
 Friedman, M., 1970. A Theoretical Framework for Monetary Analysis. The Journal of Political Economy 78 (2), pp. 193-238.
 Friedman, M., 1971. AMonetary Theory of Nominal Income. The Journal of Political Economy 79 (2), pp. 323-337.
 Froot, K.A., Scharfstein, D.S. and Stein, J.C., 1993. Risk Management: Coordinating Corporate Investment and Financing Policies. The Journal of Finance 48 (5), pp. 1629-1658.
 Froot, K.A. and Stein, J.C., 1998. Risk Management, Capital Budgeting, and Capital Structure Policy for Financial Institutions: An Integrated Approach. Journal of Financial Economics 47, pp. 55-82.
 Froot, K.A., 2007. Risk Management, Capital Budgeting, and Capital Structure Policy for Insurers and Reinsurers. The Journal of Risk and Insurance 74 (2), pp. 273-299.
 Gamba, A. and Triantis, A., 2008. The Value of Financial Flexibility. The Journal of Finance 63 (5), pp. 2263-2296.
 Goldfeld, M., 1976. The Case of the Missing Money. Brookings Papers on Economic Activity 1976 (3), pp. 683-739.
 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.
 Holmstrom, B. and Tirole, J., 2000. Liquidity and Risk Management. Journal of Money, Credit and Banking 32 (3), pp. 295-319.
 Howells, P. and Bain, K., 2005. The Economics of Money, Bankig and Finance. Prentice Hall.
 Hull, J.C., 2000. Options, Futures and Other Derivatives. Prentice Hall.
 Kashyap, A. and Stein, J., 1995. The Impact of Monetary Policy on Bank Balance Sheets. Carnegie-Rochester Conference Series on Public Policy 42, pp. 151-195.
 Kashyap, A. and Stein, J., 2000. What do a Million Observations on Banks say about the Transmission of Monetary Policy? The American Economic Review 90 (3), pp. 407-428.
 Keynes, J.M., 1936. The General Theory of Employment, Interest and Money. London: Macmillan (reprinted 2007).
 Keynes, J.M., 1937a. The General Theory of Employment. The Quarterly Journal of Economics 51 (2), pp. 209-223.
 Keynes, J.M., 1937b. The Ex-Ante Theory of the Rate of Interest. The Economic Journal 47 (188), pp. 663-669.
 Kisgen, D.J., 2006. Credit Ratings and Capital Structure. The Journal of Finance 61 (3), pp. 1035-1072.
 Lintner, J., 1965. The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets. Review of Economics and Statistics 47 (1), pp. 13-37.
 Lucas, R.E., 2000. Inflation and Welfare. Econometrica 68 (2), pp. 247-274.
 Mandelbrot, B., 1963. The Variation of Certain Speculative Prices. The Journal of Business 36 (4), pp. 394-419.
 Markowitz, H., 1952. Portfolio Selection. The Journal of Finance 7 (1), pp. 77-91.
 Merton, R.C., 1974. On the Pricing of Corporate Debt: The Risk Structure of Interest Rates. Journal of Finance 29 (2), pp. 449-470.
 Merton, R.C., 1976. Option Pricing when Underlying Stock Returns are Discontinuous. Journal of Financial Economics 3 (1976), pp. 125-144.
 Merton, R.C., 1977. An Analytic Derivation of the Cost of Deposit Insurance and Loan Guarantees: an Application of Modern Option Pricing Theory. Journal of Banking and Finance 1 (1), pp. 3-11.
 Merton, R.C., 1978. On the Cost of Deposit Insurance when there are Surveillance Costs. Journal of Business 51 (3), pp. 439-452.
 Merton, R.C., 1997. A Model of Contract Guarantees for Credit-Sensitive, Opaque Financial Intermediaries. European Finance Review 1 (1), pp. 1-13.
 Mierzejewski, F., 2006a. Economic Capital Allocation under Liquidity Constraints. Proceedings of the 4th Actuarial and Financial Mathematics Day — Brussels, pp. 107-116.
 Mierzejewski, F., 2006b. Optimal Capital Allocation Confronting Bankruptcy and Agency Costs. Bank- en Financiewezen 2006 (2), pp. 72-77.
 Mierzejewski, F., 2006c. Liquidity Preference as Rational Behaviour under Uncertainty. Munich University Library Working Papers Series, MPRA Working Paper No. 2771.
 Mierzejewski, F., 2007. An Actuarial Approach to Short-Run Monetary Equilibrium. Proceedings of the 5th Actuarial and Financial Mathematics Day — Brussels, pp. 67-76.
 Mierzejewski, F., 2008a. The Allocation of Economic Capital in Opaque Financial Conglomerates. Munich University Library Working Papers Series, MPRA Working Paper No. 9432.
 Mierzejewski, F., 2008b. The Economic Capital of Opaque Financial Institutions. Journal of Applied Economic Sciences 3 (Issue 3, Number 5), pp 232-245.
 Romer, D., 1996. Advanced Macroeconomics. McGraw-Hill.
 Sharpe, W. F., 1964. Capital Assets Prices: A Theory of Market Equilibrium under Conditions of Risk. The Journal of Finance 19 (3), pp. 425-442.
 Sharpe, W. F., 1966. Mutual Fund Performance. The Journal of Business 39 (1), pp. 119-138.
 Teles, P. and Zhou, R., 2005. A Stable Money Demand: Looking for the Right Monetary Aggregate. Economic Perspectives, 1Q/2005 pp. 50-63.
 Tobin, J., 1947. Liquidity Preference and Monetary Policy. The Review of Economic Statistics 29 (2), pp. 124-131.
 Tobin, J., 1958. Liquidity Preference as Behavior Towards Risk. The Review of Economic Studies 25 (2), pp. 65-86.
 Tobin, J., 1972. Friedman’s Theoretical Framework. The Journal of Political Economy 80 (5), pp. 852-863.
 Tobin, J., 1981. The Monetarist Counter-Revolution Today — An Appraisal. The Economic Journal 91 (361), pp. 29-42.
 Tobin, J., 1982. Money and Finance in the Macroeconomic Process. Journal of Money, Credit and Banking 14 (2), pp. 171-204.
 Tobin, J., 1993. Business Cycles and Economic Growth: Current Controversies about Theory and Policy. Bulletin of the American Academy of Arts and Sciences 47 (3), pp. 33-47.
 Venter, G., 1991. Premium Calculation Implications of Reinsurance without Arbitrage. Astin Bulletin 21 (2), pp. 223-230.
 Von Neumann, J. and Morgenstern, O., 1944. Theory of Games and Economic Behaviour. Princeton University Press.
 Wang, S., 1995. Insurance pricing and increased limits ratemaking by proportional hazards transforms. Insurance: Mathematics & Economics 17 (1), pp. 43-54.
 Wang, S., 1996. Premium Calculation by Transforming the Layer Premium Density. Astin Bulletin 26 (1), pp. 71-92.
 Wang, S., 2002. A Universal Framework for Pricing Financial and Insurance Risks. Astin Bulletin 32 (2), pp. 213-234.
 Wang, S. and Young, V., 1998. Ordering risks: Expected utility theory versus Yaari’s dual theory of risk. Insurance: Mathematics & Economics 22 (2), pp. 145-161.
 Wang, S., Young, V. and Panjer, H., 1997. Axiomatic characterization of insurance prices. Insurance: Mathematics & Economics 21 (2), pp. 173-183.