An Analysis of the Negative Interest Rate Policy and its Effects on the Efficiency of Monetary Policy in the Framework of the Money in the Utility Function Model

Authors
Vali-e-Asr University of Rafsanjan
Abstract
Today, the unconventional policy of negative interest rate is discussed in many Western societies and developed countries, and the implementation of this policy in the financial and banking system has brought growth and prosperity in many economies involved in the crisis. In fact, by applying a negative interest rate, the bank will be able to direct credit allocation to productive and priority sectors. On the other hand, this policy, along with the independence of the central bank and the non-interference of the government in creating liquidity and making money from it, can reduce the level of inflation. Iran is a developing country with high inflation, and the interest rate as a monetary policy will not be very effective in the economy and is determined by the monetary authorities under the government's rule. When governments face budget deficits due to sanctions and lack of revenue sources, they create money by relying on their supervision over the performance of the central bank and use it as a solution to earn money, Therefore, it fuels inflation in the society. Therefore, in this research, within the framework of the optimization model of the money demand function and the model of money in the utility function, taken from the study of Walsh (2003) and Sidrauski (1967) and its extension, we will investigate the behavior of negative interest rates on inflation and optimal money interest. The obtained results show that in the environment of money interest and inflation, with the application of negative nominal interest rate, the equilibrium path has a downward and decreasing trend, and in this situation, inflation and money interest will decrease in the long term. Therefore, the government has the ability to compensate for its budget deficit through solutions such as bonds and income tax, and in the long term, by reducing the money interest rate, it can reduce the level of inflation in the society and this will improve the social welfare of people.
Keywords

Altavilla, C., Burlon, L., Giannetti, M., and Holton, S. (2022). Is there a zero lower bound? The effects of negative policy rates on banks and firms. Journal of Financial Economics, 144(3); 885-907.
Ampudia, M., and Van den Heuvel, S. J. (2022). Monetary Policy and Bank Equity Values in a Time of Low and Negative Interest Rates. Journal of Monetary Economics, 130; 49-67.
Angrick, S., and Nemoto, N. (2017). Central banking below zero: the implementation of negative interest rates in Europe and Japan. Asia Europe Journal, 15(4); 417-443.
Asadi, B. (2019). The effect of bank interest on the growth or fall of economic development. Quarterly Journal of Advanced Banking Studie, 2(3); 31-52. (In Persian)
Bakhshi Dastjardi, R. (2010). Comparative study of zero interest rate theory and prohibition of usury in Islam. Eghtesad-e Islamic, 10(38); 61-88. (In Persian)
Bernanke, B., and Blinder, A. (1992). The federal fund rate and the channels of monetary transmission. Am Econ Rev, 82(4);901– 921.
Bhattacharyya, N. (2012). Monetary policy and employment in developing Asia. ILO Asia-Pacific Working Paper Series. No.18P, ISBN: 9789221257431.
Borio, C., and Gambacorta, L. (2017). Monetary policy and bank lending in a low interest rate environment: diminishing effectiveness. Journal of Macroeconomics, 54(B); 217-231
Boungoua, W., and Hubert, P. (2021). The channels of banks’ response to negative interest rates. Journal of Economic Dynamics and Control, 131; 104-228.
Bruna, K., and Tran, Q. V (2020). The central banks’ ability to control variability of money market interest rates: The case of inflation targeting countries. Journal of Economic Behavior & Organization, 176(C); 384-402.
Chen, W.D. (2020). Liquidity, covered interest rate parity, and zero lower bound in Japan’s foreign exchange markets. International Review of Economics and Finance, 69; 334–349.
Christensen, J. H., and Spiegel, M. M. (2019). Negative Interest Rates and Inflation Expectations in Japan. FRBSF Economic Letter, 2019, 22.
David-Pur, L., Galil, K., and Rosenboim, M. (2020). To Decrease or Not to Decrease: The Impact of Zero and Negative Interest Rates on Investment Decisions, Journal of Behavioral and Experimental Economics, 87(C); 101571.
Elliott, J., Hoyle, H., and Andreas A. Jobst. (2016). Impact of Low and Negative Rates on Banks [Box 1.3],” in “Chapter I: Potent Policies for A Successful Normalization,” Global Financial Stability Report, Monetary and Capital Markets Department, World Economic and Financial Surveys, April (Washington, D.C.: International Monetary Fund), pp. 44-6, available at
https://www.imf.org/External/Pubs/FT/GFSR/2016/01/pdf/c1_v3.pdf.
Farahani, M., Marzban, H., Dehghan shabani, Z., and Akbarian, Z. (2018), the theory of measuring effects of interest rate shock on the macro factors in iran: a factor-augmented vector autoregressive, approach. Journal of Applied Economics Studies in Iran, 7(25); 29-54. (In Persian)
Gesell, S. (1916). The Natural Economic Order. London: Peter Owen Ltd. (In German).
Goodfriend, C. (2000). Overcoming the zero bound on interest rate policy. Journal Money Credit Banking, 32(4), 1007–1035.
Heider, F., Saidi, F., and Schepens, G. (2018). Life below zero: bank lending under negative policy rates, Working Paper Series, No 2173.
Hicks, J. (1937). Mr Keynes and the 'Classics'; a suggested interpretation, Econometrica, 5 (2); 147- 159.
Ilgmann, C., and Menner, M. (2011). Negative nominal interest rates: history and current proposals. Journal of International Economics and Economic Policies, 8; 383-405.
Izadkhasti, H. (2018). Analyzing the Impact of Monetary Policy in a Dynamic General Equilibrium Model: Money in Utility Function Approach. Journal of Economic Modeling Research, (31); 71-101. (In Persian)
Jobst, A., and Lin, H., (2016). Negative interest rate policy (NIRP): implications for monetary transmission and bank profitability in the euro area. IMF Working Paper No. 16/172.
Karimzadeh, M. (2014). An Analysis of the Sidrauski Monetary Model in Iranian Economy. Journal of Economic Modeling Research. 5(15); 179-207. (In Persian)
Keynes, J. M. (1932). Broadcast on state planning. 14 March, in Activities 1931-1939. Collected Writings Vol. XXI, London: Macmillan, for the Royal Economic Society: 84-92.
Khalili Tir Tashi, N. (2013). The place of inflation tax in Islamic economy, Islamic Economy Knowledge, 11 (1); 29-47. (In Persian)
Khoury, S. J., and Pal, P. C. (2020). Negative Interest Rates. Journal of Risk and Financial Management. 13(5);1-12.
Kiyanpor, P., Aminifard, A., Zare, H., and Ebrahimi, M. (2021). The term Structure of interest rate in a New Keynesian model framework. The Quarterly Journal of Quantitative Economics, 17(4); 29-60. (In Persian)
Laubach, T. and Williams, J.C. (2016). Measuring the natural rate of interest redux. Business Economics, 51(2); 57-67.
Mankiw, G., Weinzierl, M., and Yagan, D. (2009). Optimal Taxation in Theory and Practice. Journal of Economic Perspectives, 23(4),147-174.
Mankiw, N. Gregory. (2009). It May Be Time for the Fed to Go Negative. New York Times, April 19.
Moid A. U., and Mahabbat H.  (2019). The Effect of Low and Negative Interest Rates: Evidences from India and Bangladesh. Journal of International Economics,10(1); 30-41.
Molyneux, P., Reghezza, A., and Xie, R. (2019). Bank Margins and Profits in a World of Negative Rates. Journal of Banking and Finance, 107(C), 105613.
Monfared, M., Mohammadi, T., Khezri, M., and Parivar, O. (2022). Role of Financial Development in Monetary Policy Effectiveness in determinate of Input and inflation. Journal of Economic Modeling, 15(55); 113-138. (In Persian)
Mosaddeghi, E., Dallali Isfahani, R., and Vaez Barzani, M. (2013). The Effect of Gesell Tax on Liquidity Trap: New Keynesian Approach, Iranian Journal of Economic Research, 18(56); 123-155. (In Persian)
Mousaviyan, S. A., and Meisami, M. (2013). Islamic banking, theoretical foundations and practical experiences. Monetary and Banking Research Institute
Nasir, A. M. (2021). Zero Lower Bound and Negative Interest Rates: Choices for Monetary Policy in the UK. Journal of Policy Modeling, 43(1); 200-229
Ramsey, F. P. (1928). A Mathematical Theory of Saving. Economic Journal, 38(152); 543–559.
Sadeghi Hamedani, A., and Sadeghi Hamedani, M. (2020), An Investigation into Some of the Capabilities and Restrictions of Participation Rate as a Monetary Policy Tool. Journal of economic studies and policies, 7(1); 301-331. (In Persian)
Sadeghi, A., Marzban, H., Samadi, A. H., and Azarbaiejani, K. (2021). The Relationship among Stock Market, Bank Deposits and Foreign Exchange Speculation: An Emphasis on the Role of Interest Rate in Iran’s Economy. Iranian Journal of Economic Research, 26(87); 41-76. (In Persian)
Sidrauski, M. (1967). Rational Choice and Patterns of Growth in a Monetary Economy. American Economic Review, 57(2); 534–544.
Taghinezhadomran, V., and Kamal, E. (2021). Interest rate and output gap: Does central bank credibility matter?. Journal of Monetary & Banking Research, 14(49); 421-452. (In Persian)
Taieby Sani E., and Nazeshti A. (2022). Nonlinear effects of interest rates on the total stock market index in the Iranian economy Markov switching Approach. Quarterly Journal of Fiscal and Economics Policies. 10(37); 113-136. (In Persian)
Thornton , J., and Vasilakis, C. (2019). Negative policy interest rates and exchange rate behavior: Further results. Finance Research Letters, 29;61-67
Vaez Barazani, M., and Izadkhasti, H. (2011). An Analysis of Monetary Interest Rate Effects in Capitalist Economics Crisis: Islamic Approach, Islamic Economy, :11(44); 2012. (In Persian)
Walsh, C. E. (2010). Monetary Theory and Policy, 3ed, ISBN (978-0-262-01377