Negative real interest rates

Standard textbook general equilibrium term structure models such as that developed by Cox, Ingersoll, and Ross [1985b. “A Theory of the Term Structure of Interest Rates.” Econometrica 53 (2): 385–407], do not accommodate negative real interest rates. Given this, the Cox, Ingersoll, and Ross [1985b. “A Theory of the Term Structure of Interest Rates.” Econometrica 53 (2): 385–407] ‘technological uncertainty variable’ is formulated in terms of the Pearson Type IV probability density. The Pearson Type IV encompasses mean-reverting sample paths, time-varying volatility and also allows for negative real interest rates. The Fokker–Planck (i.e. the Chapman–Kolmogorov) equation is then used to determine the conditional moments of the instantaneous real rate of interest. These enable one to determine the mean and variance of the accumulated (i.e. integrated) real rate of interest on a bank (or loan) account when interest accumulates at the instantaneous real rate of interest defined by the Pearson Type IV probability density. A pricing formula for pure discount bonds is also developed. Our empirical analysis of short-dated Treasury bills shows that real interest rates in the UK and the USA are strongly compatible with a general equilibrium term structure model based on the Pearson Type IV probability density.     

公债的利率期限结构与成本管理

在理论上公债期限与公债利率是密切相关的,但是,由于流动性偏好理论的假设前提(有效市场假设)与现实不符,致使"公债期限越短、利息成本越低"的观点在实践中不一定成立.研究表明,只有政府在预测未来债券利率走势方面具有比市场更为优势的地位,它才能够通过期限选择降低债务成本.我国目前正满足这一要求,因而通过期限管理降低债务成本是完全可能的.     

Applications of Fuzzy Regression in Actuarial Analysis

In this article, we propose several applications of fuzzy regression techniques for actuarial problems. Our main analysis is motivated, on the one hand, by the fact that several articles in the financial and actuarial literature suggest using fuzzy numbers to model interest rate uncertainty but do not explain how to quantify these rates with fuzzy numbers. Likewise, actuarial literature has recently focused some of its attention in analyzing the Term Structure of Interest Rates (TSIR) because this is a key instrument for pricing insurance contracts. With these two ideas in mind, we show that fuzzy regression is suitable for adjusting the TSIR and discuss how to apply a fuzzy TSIR when pricing life insurance contracts and property‐liability policies. Finally, we reflect on other actuarial applications of fuzzy regression and develop with this technique the London Chain Ladder Method for obtaining Incurred But Not Reported Reserves.     

THE TERM PREMIA RELATIONSHIP IMPLICIT IN THE TERM STRUCTURE OF TREASURY BILLS

This paper considers a single coefficient representation of the term premia relationship that appears in treasury bill yield curves. Term premia are defined as positive or negative maturity-dependent differentials versus the instantaneous nominal spot rate. The term premia function is developed in the context of the Cox, Ingersoll, and Ross [ 3 ] Risk-Averse Preferred Habitat Model and proxies for the degree of risk aversion exhibited by the universe of treasury bill investors at a point in time. Empirical results indicate that term premia are influenced by a set of macroeconomic variables in the expected manner.     

Equality of Real Returns on Canadian and US Treasury Bills: A Fractional Cointegration Analysis

This paper empirically analyzes the long memory relationship between the real returns on Canadian and US Treasury bills. A fractional cointegration approach, instead of conventional integer integration (unit root) and cointegration approaches, is used in analyzing the relationship. The advantage of fractionally integrated models is that they allow a smooth transition from a stationary process to a unit-root process. Furthermore, such models embody unit-root models as a special case. The models are therefore more general and appropriate for empirical analysis. By using fractionally integrated models, one also resolves the problems of an inconsistency in test results associated with using unit root and cointegration approaches. Briefly, it is found that the real returns on Canadian and US Treasury bills are fractionally integrated and the order of integration is significantly less than unity. Furthermore, the difference between the real returns follows a stationary process. This indicates that the Canadian and the US capital markets as well as product markets are well integrated. Furthermore, the domestic monetary authorities will not be able to influence the domestic real interest rate independent of the other market in the long-run.     

Is the Real Interest Rate Stable?

Univariate time-series models for consumption, nominal interest rates, and prices each appear to have a single unit root before 1979. If nominal interest rates have a unit root but inflation and inflation forecast errors do not, then ex ante real interest rates have a unit root and are therefore nonstationary. This deduction does not depend on the properties of the unobservable ex post observed real return, which combines the ex ante real interest rate and inflation-forecasting errors. The unit-root characteristic of real interest rates is puzzling from at least two perspectives: many models imply that the growth rate of consumption and the real interest rate should have similar time-series characteristics; also, nominal returns for other assets (e.g., stocks and bonds) appear to have different times-series properties from those of treasury bills.     

BOOK REVIEWS

Book reviewed in this article: Aggregate Theory and Policy; The Money Supply Process. By Albert E. Burger . Macroeconomics. By Robert L. Crouch . The Term Structure of Interest Rates. By Charles R. Nelson . The Economic Theory of Fiscal Policy. By Alan Peacock and G. K. Shaw . Money and Capacity Growth. By Jerome L. Stein . Business Finance and Investments; Security Prices in a Competitive Market: More about Risk and Return from Common Stocks. By Richard A. Brealey . Portfolio Theory and Capital Markets. By William F. Sharpe . Financial Planning and Management-A Budgetary Approach. By Donald E. Vaughn , Richard L. Norgaard , and Hite Bennett . Financial Institutions and Markets; Housing and Monetary Policy. New Series on Home Mortgage Yields since 1951. By Jack M. Guttentag and Morris Beck . Business Loan Costs and Bank Market Structure: An Empirical Estimate of Their Relations. By Donald P. Jacobs . The Economics of the Stock Market. By Richard R. West and Seha M. Tinic . International Finance; Essays in International Economics. By J. Marcus Fleming . Public Finance; The Measurement of Fiscal Policy. By Barry Bracewell -Milnes . Public Expenditure. By Jesse Burkhead and Jerry Miner .     

Arbitrage, Risk Premium, and Cointegration Tests of the Efficiency of Futures Markets

This article provides a new perspective on the efficiency of futures markets in a cointegration framework. Under the conventional risk premium hypothesis, if futures and spot prices are non-stationary, they must be cointegrated if futures markets are efficient. Alternatively, the cost-of-carry model implies that there should be a cointegration relationship among spot prices, futures prices and interest rates assuming all the series contain a unit root. Market efficiency further implies specific parameter restrictions under these two models. Using data on the futures markets for gold, silver, palladium and platinum, this article first establishes that interest rates, spot and futures prices are unit root non-stationary. The evidence on cointegration is somewhat mixed: the gold futures market is consistent with the cost-of-carry model, and the silver futures market satisfies the risk premium hypothesis, but the evidence for the other two markets is inconclusive.     

Step Interventions and Market Integration: Tests in the U.S., U.K., and Australian Property Markets

Market integration implies the existence of some long-run equilibrium relationship between markets such that movements in one market are transmitted to movements in another. It is an interesting observation of much of the literature regarding a possible relationship between real estate and stock markets that there is relatively scant attention given to the possible existence of structural breaks and the impact that such breaks may have on tests for market integration. Other research has shown that failure to take into account structural breaks in various macroeconomic data series may have yielded misleading results on cointegration (in particular, unit root tests on individual series). In this article we examine the issue of whether the stock market and real estate markets are stationary or nonstationary in the presence of structural breaks. We adopt the techniques of Perron (1989), Zivot and Andrews (1992), and Perron and Vogelsang (1992). Each of these tests is based on different assumptions and therefore may yield differing results. In general, the results do not support cointegration of domestic property and equity markets or cointegration of markets internationally.     

THE TERM STRUCTURE OF INTEREST RATES AS A COINTEGRATED SYSTEM: EMPIRICAL EVIDENCE FROM THE EUROCURRENCY MARKET

In this paper I examine the term structure of Eurocurrency interest rates from six countries (with maturities of one, two, three, and six months) using unit root tests and cointegration tests that are robust to departures from independent and identically distributed errors. The main conclusions are: (1) Eurocurrency interest rates have one (and only one) unit root when viewed individually, and (2) for each of the countries examined, Eurocurrency interest rates are cointegrated—with one equilibrium relationship—when viewed jointly. These conclusions are consistent with the weak form of the efficient market hypothesis and suggest that in efficient markets arbitrage generally prevents rates on different maturities of a given asset from drifting too far for an extended period.     

International Stock Market Efficiency and Integration: A Study of Eighteen Nations

This study examines the relationships among stock prices in eighteen national stock markets by using unit root and cointegration tests for the period 1961--92. All the markets were analyzed individually and collectively in regions to test for market efficiency. The results from unit root tests suggest that the world equity markets are weak-form efficient. The cointegration test results show that there are only a small number of significant cointegrating vectors over the last three decades. However, the number of significant cointegrating vectors increases after the October 1987 stock market crash, a result that is consistent with the contagion effect.     

BOOK REVIEWS

Book reviewed in this article: Household Capital Formation and Financing, 1897–1962. By F. Thomas Juster . Money and Conquest: Allied Occupation Currencies in World War II. By Vladimir Petrov . Prosperity and Unemployment. Edited by Robert A. Gordon and Margaret S. Gordon . Toward Full Employment in Our Free Enterprise Society. By Morris A. Copeland . Regional Accounts for Policy Decisions. Edited by Werner Z. Hirsch . The Tenement Landlord. By George Sternlieb . Foundations for Financial Management: A Book of Readings. Edited by James Van Horne . A Theory of Financial Analysis. By Eugene M. Lerner and Willard T. Carleton . The Scope and Methodology of Finance. By J. Feed Weston . Working Capital Management. By William Beranek . Valuation: Concepts and Practice. By Erich Helfert . The Term Structure of Interest Rates: Expectations and Behavior Patterns. By Burton Gordon Malkiel . Liquidity Preferences of Commercial Banks. By George R. Morrison . Monetary Theory and Policy. Edited by Richard S. Thorn . Analytical Methods in Banking. Edited by Kalman J. Cohen and Frederick S. Hammer . The Commercial Paper Market. By Nevins D. Baxter . Insider Trading and the Stock Market. By Henry G. Manne . Money, Banking, and Credit in Eastern Europe. By George Garvy . Forward Exchange, Speculation, and the International Flow of Capital. By Herbert G. Grubel . International Finance for Multinational Business. By Lee C. Nehrt . Intergovernmental Fiscal Relations in the United States. By George F. Break . Effects of Corporation Income Tax. Edited by Marian Krzyzaniak . A General Theory of Tax Structure Change During Economic Development. By Harley H. Hinrichs .     

储蓄-投资相关性及影响因素的国际研究──基于发展中国家的面板协整分析

储蓄与投资是经济增长的两个基本要素,它们之间的相关关系一直都是现代宏观经济理论研究的核心问题,对此,本文结合最新发展的面板单位根检验及面板协整检验等方法,对中国、巴拉圭等24个发展中国家进行跨国比较,分别从总体样本和单位样本的角度对储蓄-投资的相关关系进行研究,并在此基础上对两者关系形成的各种影响因素进行综合检验。研究结果表明,在本文研究的样本国家及时期内,储蓄与投资在总体上呈现出显著的相关关系,而且与发达国家相比,发展中国家具有相对较小的储蓄-投资相关系数。与此同时,本文研究发现,储蓄-投资相关系数与总抚养比率、经济增长显著相关,而国家规模、贸易开放程度等并非储蓄-投资相关系数大小的决定性因素。     

Modeling International Long-Term Interest Rates

This study investigates the relationship among interest rates on the long-term government bonds of five industrialized countries. Both standard and new unit root tests are applied, all of which confirm the presence of exactly one unit root. New cointegration tests are also applied to these data. In contrast to previous research on short-term bonds, stock prices, and exchange rates, these results find little evidence of cointegration among the five long-term interest rate series. Thus, when modeling or forecasting these central government long-term bond yields, one may assume separate sets of fundamentals and difference the data to achieve stationarity. An error correction model may not be appropriate.     

Financial integration in the pacific basin region: RIP by PANIC attack?

We exploit advances in panel data econometrics to test whether real interest parity holds in the Pacific Basin region. We test for a unit root in the difference between either the US, Japanese or Euro area real interest rate and the real interest rates from a panel of eleven Pacific Basin economies. Unlike extant studies that test for RIP using panel data, we use Bai and Ng’s (2004) PANIC test which allows for a very general model of cross-section dependence, including the possibility of cross-unit cointegration. Ignoring the possibility of cross-unit cointegration can lead to severe size distortions and to an over-rejection of the null hypothesis of a unit root. We overturn earlier findings based on first-generation panel tests, and demonstrate that cross-unit cointegration leads to incorrect conclusions. We find that RIP holds in the Pacific region. Real interest rates converge to the US rate. We find no support for the hypothesis that Pacific Basin real interest rates converge to either the Japanese or Euro area rates.     

Pricing of foreign exchange options under the MPT stochastic volatility model and the CIR interest rates

We consider an extension of the model proposed by Moretto, Pasquali, and Trivellato [2010. “Derivative Evaluation Using Recombining Trees under Stochastic Volatility.” Advances and Applications in Statistical Sciences 1 (2): 453–480] (referred to as the MPT model) for pricing foreign exchange (FX) options to the case of stochastic domestic and foreign interest rates driven by the Cox, Ingersoll, and Ross dynamics introduced in Cox, Ingersoll, and Ross [1985. “A Theory of Term Structure of Interest Rates.” Econometrica 53(2): 385–408]. The advantage of the MPT model is that it retains some crucial features of Heston's stochastic volatility model but, as demonstrated in Moretto, Pasquali, and Trivellato [2010. “Derivative Evaluation Using Recombining Trees under Stochastic Volatility.” Advances and Applications in Statistical Sciences 1 (2): 453–480], it is better suited for discretization through recombining lattices, and thus it can also be used to value and hedge exotic FX products. In the model examined in this paper, the instantaneous volatility is correlated with the exchange rate dynamics, but the domestic and foreign short-term rates are assumed to be mutually independent and independent of the dynamics of the exchange rate. The main result furnishes a semi-analytical formula for the price of the FX European call option, which hinges on explicit expressions for conditional characteristic functions.     

Temporal relationships among adjustable-rate mortgage indexes

This article investigates the linkage among six ARM indexes during the 1978–1989 period. Granger's direct causality test is used to examine their relationship within a rolling regression framework. The nonstationary properties of each index and selected pairs of indexes are investigated by using the unit root and cointegration tests. The empirical results confirmed their relationship has changed over this period and short-term rates lead the eleventh district cost-of-funds index. The implications of the empirical results from the perspectives of borrowers (ARM choice), lenders (pricing), and investors (security valuation) are also discussed.     

Stock returns,inflation and interest rates in the United Kingdom

The Fisherian theory of interest asserts that a fully perceived change in inflation would be reflected in nominal interest rates and stock returns in the same direction in the long run. This paper examines the Fisherian hypothesis of asset returns using alternative techniques of linear regression, and vector error correction models to examine the nature of the relationship between stock returns and inflation in the UK. Consistent with the Fisherian hypothesis, empirical evidence in the linear regression model suggests a positive and statistically significant relationship between stock returns and inflation, which regards common stock as a good hedge against inflation. The results based on the unit root and cointegration tests indicate a long-run reliable relationship between price levels, share prices, and interest rates which could be interpreted as the long-run determinants of stock returns. The findings also suggest a bidirectional relationship between stock returns and inflation. The evidence of a significant Fisher effect is robust across model specifications.     

MULTIVARIATE COINTEGRATION TESTING OF THE EFFICIENCY OF AUSTRALIA'S SPOT FOREX MARKET

Efficiency in Australia's spot FOREX market is tested using daily, weekly and four-weekly data subsequent to the floating of the dollar in 1983. Earlier research using pairwise cointegration tests of currency markets has suggested little evidence of market inefficiencies. However, multivariate cointegration tests carried out in the paper, based on canonical transformation of the exchange rate data, suggest the existence of long run equilibrium relationships among the spot rates, implying the existence of market inefficiency in the FOREX market.     

Purchasing power parity in ASEAN-5 countries: revisit with cross-sectional dependence and structural breaks

This paper re-examines the purchasing power parity (PPP) hypothesis for a panel of ASEAN-5 countries. The panel unit root and cointegration tests, which incorporate cross-sectional dependence and multiple structural breaks, are innovatively used for testing the PPP hypothesis. We could not find evidence that supports the existence of a long-run equilibrium between the relative price ratio and the nominal exchange rate for the whole period. Nevertheless, there is evidence of a cointegrating relationship for the post-crisis period. Our finding implies that a flexible exchange rate regime is suitable for the individual ASEAN countries.