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Topic: Fisher equation

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	Irving Fisher, Biography: The Concise Encyclopedia of Economics: Library of Economics and Liberty
		Irving Fisher was one of America's greatest mathematical economists and one of the clearest economics writers of all time.
		Fisher's Theory of Interest is written so clearly that graduate economics students, who still study it today, often find that they can read—and understand—half the book in one sitting.
		Fisher called interest "an index of a community's preference for a dollar of present [income] over a dollar of future income." He labeled his theory of interest the "impatience and opportunity" theory.
	www.econlib.org /library/Enc/bios/Fisher.html (1034 words)

	Fisher equation - Wikipedia, the free encyclopedia
		The Fisher equation in financial mathematics and economics estimates the relationship between nominal and real interest rates under inflation.
		In finance, this equation is primarily used in YTM calculations of bonds or IRR calculations of investments.
		This equation is named after Irving Fisher who was famous for his works on the theory of interest.
	en.wikipedia.org /wiki/Fisher_equation (325 words)

	Irving Fisher - Wikipedia, the free encyclopedia
		Fisher was so discredited by his 1929 pronouncements, and by the failure of a firm he had started, that few people took notice of his "debt-deflation" analysis of the Depression.
		Fisher was also the first economist to distinguish clearly between real and nominal interest rates, concluding that the real interest rate equals the nominal interest rate minus the expected inflation rate.
		Fisher made free use of the standard diagrams used to teach undergraduate economics, but labelled the axes "consumption now" and "consumption next period" instead of, e.g., "apples" and "oranges." The resulting theory, one of considerable power and insight, was exposited in considerable detail in The Theory of Interest; for a concise exposition, click here.
	en.wikipedia.org /wiki/Irving_Fisher (1562 words)

	The Theories of Irving Fisher [Virtual Economy]
		The equation of exchange is very important as it forms the basis for the classical and
		Fisher developed the equation simply as a mathematical identity, and Classical economists and Monetarists then made certain assumptions about it that enabled them to explain the cause of inflation.
		In the Fisher equation above M would be equal to £5, V equal to 20 and PT would be £100.
	www.bized.co.uk /virtual/economy/library/economists/fisherth.htm (268 words)

	Fisher Equation (Site not responding. Last check: 2007-10-14)
		Fisher Equation of Exchange: states that an economy's money supply multiplied by the velocity of money is equal to the number of transactions
		Fisher equation of exchange The Fisher equation of exchange was developed, surprisingly, by Irving Fisher.
		The main theoretical work that Fisher is remembered for is the Fisher Equation of Exchange - particularly as this is the only thing he has...
	www.fisherequation.info (351 words)

	AEH: EUR.MACRO: Exchange Rate Regimes, Inflationary Expectations, Fisher's Hypothesis, and the Gibson Paradox: Evidence ...
		This empirical regularity--defined by Keynes as the "Gibson Paradox"--seems to defy the Fisher hypothesis.
		In this paper we specify an Augmented Fisher Equation that allows shocks and nominal rigidities, reflected in the market for real balances, to affect the real interest rate and the long-run anchors of the price level to affect the nominal component of the interest rate.
		Results obtained from estimating the Augmented Fisher Equation allow us to claim that British investors behaved in accordance with the monetary regime; we cannot reject the hypothesis that rational agents living at the time understood the difference in the monetary regimes and the economic policy pursued and formed their expectations accordingly.
	www.eh.net /pipermail/abstracts/1997-September/000598.html (560 words)

	OPTI 529
		The multidimensional Fisher information I form to be used in all physical derivations: the trace of the Fisher information matrix.
		Measurement of a four-position in the presence of charge/current leads to derivation of the vector wave equation.
		Derivation of Maxwell’s equations from the vector wave equation.
	www.optics.arizona.edu /Classes/Grad/Opti_529.htm (707 words)

	Irving Fisher (1867 â“ 1947)
		Irving Fisher was one of Americaâs earliest neo-classical economists, although during his lifetime he was regarded as somewhat of a celebrity economist, he reputation in modern economic thought is even higher.
		He was primarily a mathematical economist and possessed the intellect to use mathematics as the foundation of virtually all of his theories.
		Fisher was a pioneer in the use of price indexes.
	www.tutor2u.net /newsmanager/templates/?a=943&z=58 (599 words)

	Chapter 11—Money and Its Purchasing Power (continued)
		Fisher describes the chief purpose of his work as that of investigating “the causes determining the purchasing power of money.” Money is a generally acceptable medium of exchange, and purchasing power is rightly defined as the “quantities of other goods which a given quantity of goods will buy.”
		Thus, either the equation of exchange is a trivial truism—in which case, it is no better than a million other such truistic equations, and has no place in science, which rests on simplicity and economy of methods—or else it is supposed to convey some important truths about economics and the determination of prices.
		However, their equation is not a particular advance, since they keep the fallacious holistic concepts of P and T, and their k is merely the reciprocal of V, and suffers from the latter’s deficiencies.
	www.mises.org /rothbard/mes/chap11d.asp (7904 words)

	Comments on "Econometric Analysis of Fisher's Equation" by Peter C. B. Phillips American Journal of Economics ... (Site not responding. Last check: 2007-10-14)
		Ostensibly this paper is an empirical analysis of the Fisher equation; however, I view its primary contribution as providing important new econometric tools for analyzing nonstationary time series.
		More heretically, I question whether the simple version of the Fisher equation provides a useful framework for thinking about the behavior of nominal interest rates, especially since the simplest versions of this equation ignore the tremendous advances in finance in the years since Fisher's death.
		where the right-hand side of Equation (3) is clearly the same as the right-hand side of the definition given in Equation (5) of Phillips's paper, since dt = d[[B].sub.t] = d[M], in the case of a Brownian motion.
	www.findarticles.com /p/articles/mi_m0254/is_1_64/ai_n13798784 (724 words)

	FOREIGN EXCHANGE RELATIONSHIPS
		Irving Fisher's theory of interest rates relates the nominal interest rate i to the rate of inflation π and the "real" interest rate r.
		Thus, according to this equation, if π increases by 1 percent the nominal interest rate increases by more than 1 percent.
		An alternate approach to incorporating country risk premiums into the analysis is to reformulate Fisher's original equation to include a factor of (1+ρ) where ρ is the risk premium for the country.
	www.sjsu.edu /faculty/watkins/fisher.htm (650 words)

	Irving Fisher
		Irving Fisher was one of the earliest American Neoclassicals of unusual mathematical sophistication.
		(2) his volumes on the theory of capital and investment (1896, 1898, 1906, 1907, 1930) which brought the Austrian intertemporal theories into the English-speaking world, wherein he introduced the famous distinction between "stocks" and flows", the Fisher Separation Theorem and the loanable funds theory of interest rates.
		When Irving Fisher wrote his 1892 dissertation, he constructed a remarkable machine equipped with pumps, wheels, levers and pipes in order to illustrate his price theory - see here for pictures of his draft and his first and second prototypes.
	cepa.newschool.edu /het/profiles/fisher.htm (571 words)

	Fisher equation - One Language (Site not responding. Last check: 2007-10-14)
		The Fisher equation in financial mathematics estimates the relationship between nominal and real interest rates under inflation.
		This equation is primarily used in YTM calculations of bonds or IRR calculations of investments.
		The actual rate of inflation is known and therefore used for π.
	www.onelang.com /encyclopedia/index.php/Fisher_equation (262 words)

	On the Sampling Variance of Intraclass Correlations and Genetic Correlations -- Visscher 149 (3): 1605 -- Genetics
		Equation 8 reduces to the standard equation of
		This equation is equivalent to the approximation of the sampling
		—, predicted values using Equation 14, assuming that the values on the x-axis are the population values; – – –, observed standard error; ---, estimated standard error, using the estimated values of the heritabilities and correlation coefficients.
	www.genetics.org /cgi/content/full/149/3/1605 (4197 words)

	Fisher's theorems for multivariable, time- and space-dependent systems, with applications in population genetics and ...
		Fisher's theorems for multivariable, time- and space-dependent systems, with applications in population genetics and chemical kinetics -- Vlad et al.
		Fisher theorems can be derived without use of any genetic models.
		By assuming that the genetic structure of the population is
	www.pnas.org /cgi/content/full/102/28/9848 (2802 words)

	The Harmonic Fisher Equation and the Inflationary Bias of Real Uncertainty
		The classical Fisher equation asserts that in a nonstochastic economy, the inflation rate must equal the difference between the nominal and real interest rates.
		We extend this equation to a representative agent economy with real uncertainty in which the central bank sets the nominal rate of interest.
		The Fisher equation still holds, but with the rate of inflation replaced by the harmonic mean of the growth rate of money.
	ideas.repec.org /p/ysm/somwrk/ysm388.html (537 words)

	Bibliography: Fisher effect
		The Fisher hypothesis states that investors require compensation for the loss of purchasing power of money, i.e.
		Owen, P.D. ‘Cointegration analysis of the Fisher hypothesis: The role of the real rate and the Fisher identity,’ Applied Financial Economics, vol.3 (1) March: 21-26.
		Barsky, R.B. ‘The Fisher hypothesis and the forecastability and persistence of inflation,’ Journal of Monetary Economics, vol.19 (1) January: 3-24.
	www.few.eur.nl /few/people/smant/m-economics/bibl/bibl2-fishereff.htm (2783 words)

	The long-run relationship between nominal interest rates and inflation: the Fisher equation revisited. \| Finance > ...
		This well-known hypothesis, introduced by Irving Fisher (1930), maintains that the nominal interest rate is the sum of the constant real rate and expected decline in the purchasing power of money.
		Starting with Fisher and extending to the present (for example, Mishkin 1992 and Evans and Lewis 1995), this seemingly simple and intuitive hypothesis has found limited empirical support.
		Rose analyzes the time series properties of the variables that constitute the Fisher paradigm and concludes that interest rates possess a unit root in their autoregressive representation, but inflation does not.
	www.allbusiness.com /business-finance/business-loans-interest-rate/543148-1.html (650 words)

	EconPapers: The Application of the Kalman Filter to the Fisher Equation: Italian and German Term Structure of Interest ...
		Abstract: Generalizing the Fisher equation for the term structure of interest rates, we analyse the influence of the premium risk on the long-run interest rate.
		We give an alternative view of the Fisher theory in which the interest rate is explained by the expected inflation rate and the variable component of the real interest rate.
		We estimate the regression using the Kalman filter, under the hypothesis that the agents' expectations are adaptive rather than rational.
	econpapers.repec.org /paper/scescecf9/941.htm (403 words)

	On the integrability and exact solutions of the nonlinear diffusion equation with nonlinear source (Site not responding. Last check: 2007-10-14)
		The generalized diffusion equation with a nonlinear source term which encompasses the Fisher, Newell-Whitehead and Fitzhugh-Nagumo equations as particular forms and appears in a wide variety of physical and engineering applications has been analysed for its generalized symmetries (isovectors) via the isovector approach.
		The Lie group of transformations obtained from the exponential vector fields reduces these equations in generalized form to a standard second-order differential equation of nonlinear type, which for particular cases become the Weierstrass and Jacobi elliptic equations.
		The group-theoretic integrability relations of the Fisher and Newell-Whitehead equations have been cross-checked through Painlevé analysis, which yields a new solution to the Fisher equation in a complex-valued function form.
	anziamj.austms.org.au /V39/part4/Vijayakumar.html (222 words)

	Prof. Bryan Caplan (Site not responding. Last check: 2007-10-14)
		Plug the constant value of i into the Fisher equation.
		Substitute the Fisher equation into the IS equation.
		Plug this conjectured solution for money into the LM equation to get an equation for current prices, and take expectations of this equation to solve for the expectations terms.
	www.gmu.edu /departments/economics/bcaplan/e918/mon2ans.html (276 words)

	Celebrating Irving Fisher
		I'm delighted to be able to add a few words to this volume that celebrates the work of my grandfather, Irving Fisher, and explores the major themes of his life.
		I hope that his example will also encourage the next generation of scholars to move beyond the narrow disciplinary boundaries within which most academics are trained, and to respond imaginatively to the needs of an increasingly complex world.
		Fisher, Keynes, and the Corridor of Stability, Robert W. Dimand
	cowles.econ.yale.edu /books/gean/fisher.htm (859 words)

	SVSU (Site not responding. Last check: 2007-10-14)
		These theories are derived from Irving Fisher’s “equation of exchange,” (Fisher, 1913, pp.
		Although both economists believe inflation to be caused by an increased money supply, there is a difference in their theories. Friedman maintains Fisher’s assumptions and contends that velocity is constant. Keynes (1936, p.
		Another way to understand the effects of money on inflation is through aggregate supply and demand analysis. Figure 1 shows the effects of increasing money supply on aggregate demand.
	www.svsu.edu /writingprogram/braun02/effects1.htm (450 words)

	Financial dictionary: Fisher equation of exchange (Site not responding. Last check: 2007-10-14)
		You are here: Home » Financial dictionary » Fisher equation of exchange
		Fisher's equation of exchange states MV = PT.
		M is the money supply; V is the velocity of circulation; P is average prices and T is the number of transactions.
	www.specialinvestor.com /terms/2784.html (142 words)

	SSRN-Inflation, Fisher Equation, and the Term Structure of Inflation Risk Premia: Theory and Evidence from TIPS by ...
		SSRN-Inflation, Fisher Equation, and the Term Structure of Inflation Risk Premia: Theory and Evidence from TIPS by Ren-Raw Chen, Bo Liu, Xiaolin Cheng
		In this paper, we study inflation risk and the term structure of inflation risk premia in the U.S. nominal interest rates through the Treasury Inflation Protection Securities (TIPS) and an analytical two-factor Cox-Ingersoll-Ross (CIR) model with correlated real rate and inflation.
		Chen, Ren-Raw, Liu, Bo and Cheng, Xiaolin, "Inflation, Fisher Equation, and the Term Structure of Inflation Risk Premia: Theory and Evidence from TIPS" (September 15, 2005).
	papers.ssrn.com /sol3/papers.cfm?abstract_id=809346 (361 words)

	nlin.SI/0405035: Bindu, P. S., Lakshmanan, M. (Site not responding. Last check: 2007-10-14)
		Fisher equation is a prototype of diffusive equations.
		In this contribution we investigate the integrability properties of the generalized Fisher type equation to obtain physically interesting solutions using Lie symmetry analysis.
		In particular, we report several travelling wave patterns, static patterns and localized structures depending upon the choice of the parameters involved.
	front.math.ucdavis.edu /nlin.SI/0405035 (193 words)

	MIT OpenCourseWare \| Mathematics \| 18.306 Advanced Partial Differential Equations with Applications, Spring 2004 \| ...
		Conversion of Nonlinear PDEs to Linear PDEs: Simple Transformations, Parabolic PDE with Quadratic Nonlinearity, Viscous Burgers' Equation and the Cole-Hopf Transformation
		The Laplace Equation in a Finite Region, Separation of Variables in a Circular Disc (PDF)
		Introduction to Green's Functions, The Poisson Equation in 3D, Integral Equation for the "Nonlinear Poisson Equation" (PDF)
	ocw.mit.edu /OcwWeb/Mathematics/18-306Spring2004/LectureNotes (634 words)

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