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Monetary transaction costs and the term premium

Abstract

We show that, in a monetary equilibrium, trade and asset prices depend on both the supply of liquidity by the central bank and the liquidity of assets and commodities. Because money demand is a function of the liquidity of assets and commodities, monetary aggregates provide information on trade inefficiencies and are thus instructive for the conduct of monetary policy. We also show that assets that promise higher payoffs in liquidity constrained states in the future are relatively more expensive. This generates a term premium in the yield curve, even in absence of aggregate real uncertainty. The term premium is also higher than what would be calibrated in a representative agent model because monetary costs affect individual agents’ marginal utilities even if aggregate income is unaffected. Our results hold in any monetary economy with heterogeneous agents and short-term liquidity effects, where monetary costs act as transaction costs and the quantity theory of money is verified.

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Notes

  1. The modern treatment of cash-in-advance models dates as far back as Clower (1967).

  2. The only exception is when interest rates are equal to zero. Then changing prices and money supply is tantamount to changing units of account while maintaining zero interest rates.

  3. See Dubey and Geanakoplos (2006) and Tsomocos (2008) for a formal proof.

  4. For this to be true, it is necessary for inflation to be costless. The Lucas Parable and Calvo-pricing are two ways to generate costly distortion of relative prices because of inflation, but this case is outside the scope of the paper.

  5. Subjective probabilities can be adjusted to take into account the subjective discount rate.

  6. Of course these two sets are only defined in equilibria—the same applies to the sets \(L_s^{i}(\pm )\)—and it is, therefore, a notation abuse to write the maximization problem as if the sets were known ex ante.

  7. The existence of a Monetary Equilibrium is ensured when the Gains-from-Trade Hypothesis (Dubey and Geanakoplos 1992, 2003) is satisfied.

  8. The demand and supply for commodities and assets depend on all the prices and the other exogenous parameters. For the sake of exposition, we only write the dependence on the respective price of goods or assets.

  9. Interior solutions are guaranteed by the preference and endowment specification we have adopted.

  10. Equilibria such that prices increase with liquidity exist, as it is demonstrated in Espinoza et al. (2009).

  11. The Quantity Theory of Money becomes \((1-\varLambda _{s,l_0}+(1+\varLambda _{s,l_0}r_s)(1-\lambda _s)/(1+r_s)) p_{s,l_0}q_{s,l_0}=M_s+\lambda _s m_s^{\alpha }+m_s^{\beta }\) in a one commodity economy

References

  • Aiyagari, S.R.: Uninsured idiosyncratic risk and aggregate saving. Q. J. Econ. 109(3), 659–684 (1994)

    Article  Google Scholar 

  • Backus, D., Gregory, A., Zin, S.: Risk premiums in the term structure: evidence from artificial economies. J. Monet. Econ. 24(3), 371–399 (1989)

    Article  Google Scholar 

  • Bansal, R., Coleman II, W.J.: A monetary explanation of the equity premium, term premium and risk-free rate puzzles. J. Polit. Econ. 104(6), 1135–1171 (1996)

    Article  Google Scholar 

  • Bloize, G., Dreze, J.H., Polemarchakis, H.: Monetary economy over infinite horizon. Econ. Theory 25(1), 51–74 (2005)

    Google Scholar 

  • Breeden, D.: An intertemporal asset pricing model with stochastic consumption and investment opportunities. J. Financ. Econ. 7, 265–296 (1979)

    Article  Google Scholar 

  • Chabi-Yo, F., Leisen, D., Renault, E.: Implications of Asymmetry Risk for Portfolio Analysis and Asset Pricing. Bank of Canada Working Paper 2007-47 (2007)

  • Clower, B.W.: A reconsideration of the microeconomic foundations of monetary theory. West. Econ. J. 6, 1–8 (1967)

    Google Scholar 

  • Cox, J., Ingersoll, J., Ross, S.: An intertemporal general equilibrium of asset prices. Econometrica 53, 363–384 (1985a)

    Article  Google Scholar 

  • Cox, J., Ingersoll, J., Ross, S.: A theory of the term structure of interest rates. Econometrica 53, 385–407 (1985b)

    Article  Google Scholar 

  • Dubey, P., Geanakoplos, J.: The value of money in a finite-horizon economy: a role for banks. In: Dasgupta, P., Gale, D., et al. (eds.) Economic Analysis of Market and Games. MIT Press, Cambridge MA (1992)

    Google Scholar 

  • Dubey, P., Geanakoplos, J.: Monetary equilibrium with missing markets. J. Math. Econ. 39, 585–618 (2003)

    Article  Google Scholar 

  • Dubey, P., Geanakoplos, J.: Real determinacy with nominal assets and outside money. Econ. Theory 27, 79–106 (2006)

    Article  Google Scholar 

  • Elul, R.: Financial innovation, precautionary saving and the risk-free rate. J. Math. Econ. 27, 113–131 (1997)

    Article  Google Scholar 

  • Espinoza, R., Goodhart, C., Tsomocos, D.: State prices, liquidity and default. Econ. Theory 39(2), 177–194 (2009)

    Article  Google Scholar 

  • Espinoza, R., Tsomocos, D.: Monetary Transaction Costs and the Term Premium. IMF Working Paper 13/85. International Monetary Fund, Washington, DC (2013)

  • Fan, M.: Heterogeneous beliefs, the term structure and time-varying risk premia. Ann. Financ. 2, 259–285 (2006)

    Article  Google Scholar 

  • Fisher, I.: The Purchasing Power of Money. MacMillan, New York (1911)

    Google Scholar 

  • Grandmont, J.M., Younes, Y.: On the role of money and the existence of a monetary equilibrium. Rev. Econ. Stud. 39, 355–372 (1972)

    Article  Google Scholar 

  • Grossman, S., Melino, A., Shiller, R.: Estimating the continuous time consumption based asset pricing model. J. Bus. Econ. Stat. 5(3), 315–327 (1987)

    Google Scholar 

  • Gurley, J.G., Shaw, E.S.: Money in a Theory of Finance. The Brookings Institution, Washington, DC (1960)

    Google Scholar 

  • Kiyotaki, N., Wright, R.: On money as a medium of exchange. J. Polit. Econ. 97(4), 927–954 (1989)

    Article  Google Scholar 

  • Lagos, R., Wright, R.: A unified framework for monetary theory and policy analysis. J. Polit. Econ 113(3), 463–484 (2005)

    Article  Google Scholar 

  • Lagos, R.: Asset prices and liquidity in an exchange economy. J. Monet. Econ. 57, 913–930 (2010)

    Article  Google Scholar 

  • Lucas, R.: Asset prices in an exchange economy. Econometrica 46(6), 1429–1445 (1978)

    Article  Google Scholar 

  • Lucas, R., Stokey, N.: Optimal fiscal and monetary policy in an economy without capital. J. Monet. Econ. 12, 55–93 (1983)

    Article  Google Scholar 

  • Lucas, R., Stokey, N.: Money and interest in a cash-in-advance economy. Econometrica 55(3), 491–513 (1987)

    Article  Google Scholar 

  • Peiris, M.U., Vardoulakis, A.P.: Savings and default. Econ. Theory 54, 153–180 (2013)

    Article  Google Scholar 

  • Piazzesi, M., Schneider, M.: Equilibrium Yield Curves. NBER Working Paper 12609. National Bureau of Economic Research, Cambridge, MA (2006)

  • Radner, R.: Existence of equilibrium of plans, prices, and price expectations in a sequence of markets. Econometrica 40(2), 289–303 (1972)

    Article  Google Scholar 

  • Rudebusch, G.D., Swanson, E.T.: Examining the bond premium puzzle with a DSGE model. J. Monet. Econ. 55, S111–S126 (2008)

  • Shubik, M., Tsomocos, D.P.: A Strategic market game with a mutual bank with fractional reserves and redemption in gold (a continuum of traders). J. Econ. 55(2), 123–150 (1992)

    Article  Google Scholar 

  • Shubik, M., Wilson, C.: The optimal bankruptcy rule in a trading economy using fiat money. J. Econ. 37(3–4), 337–354 (1977)

    Article  Google Scholar 

  • Svensson, L.E.O.: Money and asset prices in a cash-in-advance economy. J. Polit. Econ. 93(5), 919–944 (1985)

    Article  Google Scholar 

  • Tsomocos, D.P.: Generic determinacy and money non-neutrality of international monetary equilibria. J. Math. Econ. 44(7–8), 866–887 (2008)

    Article  Google Scholar 

  • van der Schaar, M., Xu, J., Zame, W.: Efficient online exchange via fiat money. Econ. Theory 54, 211–248 (2013)

    Article  Google Scholar 

  • Wachter, J.: A consumption-based model of the term structure of interest rates. J. Financ. Econ. 79, 365–399 (2006)

    Article  Google Scholar 

  • Weil P.: Equilibrium Asset Prices with Undiversifiable Labor Income Risk. NBER Working Paper No. 3975 (1992)

  • Woodford, M.: Control of the Public Debt: A Requirement for Price Stability? NBER Working Paper No. 5684 (1996)

  • Woodford, M.: Price-Level Determination Under Interest Rate Rules. Department of Economics, Princeton University, Mimeo (1999)

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Correspondence to Raphael Espinoza.

Additional information

We are grateful for suggestions and helpful comments from Sudipto Bhattacharya, Valpy FitzGerald, John Geanakoplos, Charles Goodhart, Pete Kyle, Herakles Polemarchakis, Tano Santos, Oren Sussman, and from participants at the Annual CARESS-Cowles Conference, the European Winter Econometric Society Meeting, the Royal Economic Society Meeting, the European Workshop on General Equilibrium, the INFINITI Conference, the EEA Congress, and seminars at Oxford and the Bank of England. However, all remaining errors are ours. The views expressed in this paper are those of the authors solely and do not represent the views of the IMF or IMF policy.

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Espinoza, R., Tsomocos, D. Monetary transaction costs and the term premium. Econ Theory 59, 355–375 (2015). https://doi.org/10.1007/s00199-014-0817-z

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Keywords

  • Liquidity
  • Cash-in-advance constraints
  • Monetary aggregates
  • Term structure of interest rates

JEL Classification

  • E43
  • G12