The tax-rate induced bond substitution hypothesis and the traditional textbook treatment of the relationship between tax-free and taxable bond yields

ABSTRACT

This empirical study posits and tests the ‘tax-rate induced bond substitution hypothesis,’ wherein the propensity for bond buyers to substitute tax-exempt municipal bonds for taxable bonds in their portfolios is hypothesized to be an increasing function of the maximum federal personal income tax rate. This substitution acts to elevate the real interest rate yield on taxable bonds while diminishing it on tax-exempt bonds, ceteris paribus. Two measures of real interest rates are included in the present analysis, ex post real interest rate and ex ante real interest rate. Empirical estimations for the 1981–2018 period provide strong support for the hypothesis. They reveal that the real interest rate yield on high-grade tax-exempt municipal bonds is a decreasing function of the maximum marginal federal personal income tax, whereas the real interest rate yield on taxable ten-year Treasury notes is an increasing function of that same tax rate. We examine the implications of this study and the information underlying it for the traditional formulaic textbook treatment of the relationship between yields on bonds whose interest rate payments are taxable versus those whose interest rate payments are tax exempt and find it is not as dependable as the textbooks would have us believe.     

Inflationary expectations and monetary policy: evidence from Bangladesh

This article first estimates inflationary expectations using a Blanchard–Quah VAR model by decomposing the nominal interest rate into expected inflation and the ex ante real interest rate. Then I utilize this expected inflation along with other macroeconomic variables as inputs to the monetary policy function in a recursive VAR model to identify exogenous policy shocks. To calculate inflationary expectations, I assume that ex ante real interest rate shocks do not have a long-run effect on the nominal interest rate. This article finds that the public expects lower inflation for the future during periods of high inflation. Estimated results from the recursive VAR suggest that a contractionary policy shock increases the real interest rate, appreciates domestic currency, and lowers inflationary expectations and industrial output. However, I find a lagged policy response from Bangladesh Bank to higher inflationary expectations.     

A NOTE ON THE PROPERTY RIGHTS THEORY AND THE EX ANTE VALUE OF INFORMATION

This paper examines the ex ante value of information in the property rights model where the possibility exists that an investing agent can be provided with relevant information before investments are undertaken. When contracts are incomplete, from an ex ante perspective, informing the investing agent does not necessarily increase the expected surplus resulting from a relationship between two economic agents. The paper highlights the fact that the second‐best nature of the problem that arises from contractual incompleteness can ensure this.     

Transparency in the Foreign Exchange Market and the Volume of International Trade

In this paper we study the impact of more transparency in the foreign exchange market on the ex ante expected volume of international trade. Transparency is measured by the informational content of publicly observable signals. These signals convey information about the use of policy instruments which affect the future exchange rate. We find that a higher level of transparency may increase or decrease the volume of international trade. In particular, the impact of greater transparency depends on the curvature of the firms’ marginal cost function. Furthermore, the firms’ex ante expected profits are higher when the foreign exchange market is more transparent.     

On the constancy of real interest rates

In the context of a small structural model, we show that the autocorrelation and the variance of the ex ante real rate of interest can be uniquely estimated; the random forecasting errors need not confound the problem of identifying variations in the real rate.     

Credit demand and supply shocks in Italy during the Great Recession

In this article, we use Structural VAR analysis to disentangle credit demand and supply shocks and their effect on real economic activity in Italy during the 2008 to 2014 crisis period. The three endogenous variables considered are the loan interest rate, the loans growth rate and the employment to population ratio. The data are observed at annual frequency for each of 103 Italian provinces. The empirical evidence suggests that the variance of the shocks varies across four Italian macro-regions: North, Centre, South and Islands, and hece heteroscedasticity is used to identify (ex ante) the structural shocks. Sign restrictions are used to interpret shocks ex post. The empirical findings suggest a prominent role of credit supply shock in shaping real activity dynamics and also that credit crunch hits the North of Italy less than the remaining macro-regions, especially the South of Italy.     

Financial Deregulation and Stability of Money Demand: The Australian Case

This paper analyses the Australian economy in the post-war period. The analysis examines stationarity and cointegrating relationship among output, interest rate and money. The analysis shows that Australia has had a stable cointegrating relationship among output, interest rate and money during the post-war period although the country deregulated its financial sector in the 1980's. Australia's money demand function fails to reject the hypothesis that the interest elasticity of money demand is 0.5. In addition, one specification of the country's money demand function fails to reject the hypothesis that the income elasticity of money demand is unity. The specification is the Vector Error Correction Model that includes real output, real balances, an interest rate, and a deregulation dummy variable, with the lag length of three.     

Ex ante purchasing power parity: Some evidence based on vector autoregressions in the time domain

Theex ante purchasing power parity (EPPP) hypothesis maintains that the expected rate of nominal exchange rate depreciation should be equal to the expected inflation differential over the relevant period. By modelling the inflation differential and the rate of depreciation as a jointly determined process, this paper derives a test of EPPP by examining the vector autoregressive representation. We also make allowance for the possibility of conditional heteroscedasticity in the inflation and exchange rate innovations. Our empirical results tend to support the EPPP hypothesis.Any views expressed are those of the author and are not necessarily those of the Bank of England. I am grateful to two anonymous referees and an editor for comments on a previous version of this paper; the usual disclaimer applies.     

Was the recent downturn in US real GDP predictable?

This article uses a small set of variables – real GDP, the inflation rate and the short-term interest rate – and a rich set of models – atheoretical (time series) and theoretical (structural), linear and nonlinear, as well as classical and Bayesian models – to consider whether we could have predicted the recent downturn of the US real GDP. Comparing the performance of the models to the benchmark random-walk model by root mean-square errors, the two structural (theoretical) models, especially the nonlinear model, perform well on average across all forecast horizons in our ex post, out-of-sample forecasts, although at specific forecast horizons certain nonlinear atheoretical models perform the best. The nonlinear theoretical model also dominates in our ex ante, out-of-sample forecast of the Great Recession, suggesting that developing forward-looking, microfounded, nonlinear, dynamic stochastic general equilibrium models of the economy may prove crucial in forecasting turning points.     

Fiscal Policy in Real Time*

In this paper, I estimate the ex ante or intentional cyclical stance of fiscal policy in OECD countries. I use the fiscal plans reported at the time of budgeting, together with other information available to fiscal policy‐makers in real time. Indeed, fiscal plans might be significantly different from ex post outcomes because governments do not have complete control over their implementation, which is influenced by several exogenous factors. When fiscal‐policy rules are estimated using real‐time data, I show in this paper that OECD countries have often planned a counter‐cyclical fiscal stance, especially during economic expansions. This contrasts with conventional findings based on actual data, which tend to point towards a‐cyclicality or pro‐cyclicality. Forecast errors for the government structural balance and the output gap play a central role in explaining the differences between estimates based on ex ante and ex post data.     

Do judges react to the probability of appellate review? Empirical evidence from trial court procedures

The appellate review system is intended to serve as an efficient remedy for imperfect judicial decision making. However, it can fulfil this task only when appeals are ex ante unpredictable to the judge, and thus can be expected to occur primarily in case of a bad verdict. Using data from case records of a German trial court, we show that the probability of appeal can be predicted based on easily observable exogenous factors. Controlling for the complexity of a legal case, we find that judges also tend to decrease their effort when the ex ante probability of appeal is low. Thus, our empirical evidence indicates an inefficiency in the appellate review system because trial judges allocate their effort to cases not exclusively according to case complexity, but particularly according to the ex ante probability of being reviewed.     

The Fisher effect,survey data and time-varying volatility

In this paper we study the Fisher hypothesis using Livingston survey data on inflation expectations. We propose a simple model for the ex-ante real interest rate where the standard deviation of survey forecasts is used to correct for heteroskedasticity. The findings of this paper contradict earlier studies. We find supportive evidence for the Fisher hypothesis that the nominal interest rate and expected inflation move one-for-one both in the short and the long run. Our results also suggest that the change of US monetary policy does not have significant effect on the dynamics of the ex-ante real interest rate such as previous work assumes.     

Budget deficits,short-term real interest rates and the specification of expected inflation: an empirical investigation

The purpose of this paper is to illustrate whether empirical estimates of the effects of budget deficits on short-term real interest rates are sensitive to the choice of the expected inflation variable. Survey data on expected inflation and the rational expectations method described by Mishkin (1981) are used to construct two measures of the short-term real interest rate. Results for two previous studies on this deficit-interest rate relationship are re-estimated using these measures of expected inflation and the interest rate variables. Additional results reported in this paper further indicate that empirical estimates of the interest rate effects of budget deficits are sensitive to the choice of the expected inflation variable. In addition to the choice of the inflation variable, a number of other robustness tests are included. We are able to conclude that (1) increases in budget deficits do not generally raise short-term real interest rates and (2) short-term real interest rates are not independent of the expected inflation variable.

The rate of interest is always based upon expectation, however little this may be justified by realization. Man makes his guess of the future and stakes his action upon it … Our present acts must be controlled by the future, not as it actually is, but as it appears to us through the veil of chance (Fisher, 1907, p. 213).     

Discrepancies between ex ante and ex post efficiency under identical subjective probabilities

Summary. Starr (1973) showed that, if people have different subjective probabilities, ex ante and ex post efficiency conflict. Conversely, under the simple preferences that he considered, the discrepancy between ex ante and ex post efficiency disappears when subjective probabilities are identical. Here I consider identical subjective probabilities, but more general preferences. First, risk attraction is admitted. Second, I dispense with the double requirement (dubbed IZU) of additive separability and state-independence of the utility of zero-date consumption, an unrealistic requirement when modeling the investment in durable goods. I find that, under IZU, and as long as ex post preferences satisfy the natural assumption of quasiconcavity (and satisfy some technical qualifications), an ex ante efficient allocation is indeed ex post efficient, but the converse is not necessarily true under risk attraction. If, on the other hand, IZU is violated, then one can have ex ante efficient allocations that are not ex post efficient, and vice-versa, even under risk aversion. Received: June 25, 1999; revised version: March 2001     

Hybrid Contests

This paper examines hybrid contests where participants commit two types of resources to improve their probability of winning the prize. The first type is forfeited ex ante, before the prize is allocated, by winners and losers alike, while the second is committed ex ante by all contenders but expended ex post, after the prize is allocated, and only by the contestant that wins the prize. The model yields a number of interesting results. Among them is the finding that, as the number of contestants increases, the ex ante expenditures of individual contestants decrease while the ex post expenditure increases. Even more interesting, the total of the ex ante and ex post expenditures by the contenders in a hybrid contest may decrease with the number of competitors. The study also finds that there is no rent overdissipation, and compares the total expenditures in the contest and “all‐pay” allocation mechanisms.     

“Interest Rate Trap”, or Why Does the Central Bank Keep the Policy Rate Too Low for Too Long?

In this paper, we provide a framework for modeling one risk‐taking channel of monetary policy, the mechanism whereby financial intermediaries' incentives for liquidity transformation are affected by the central bank's reaction to a financial crisis. The anticipation of the central bank's reaction to liquidity stress gives banks incentives to invest in excessive liquidity transformation, triggering an “interest rate trap” – the economy will remain stuck in a long‐lasting period of suboptimal, low interest rate equilibrium. We demonstrate that interest rate policy as a financial stabilizer is dynamically inconsistent, and the constrained efficient outcome can be implemented by imposing ex ante liquidity requirements.     

Incentives for firms to provide safety: Regulatory authority and capital market reactions

We investigate the relationship between the various incentives that firms have to act safely, focusing on the relationship between the equity losses experienced by a firm following a fatal, accident and the incentive effects created by government regulation. The major findings are that first, the capital market reactions vary dramatically by which agency has regulatory jurisdiction for the accident. And second, the capital market effects tend to be weak (equity values do not decline sizably) where federal agencies rely heavily on an ex ante inspection policy. On the other hand, where ex ante inspection policy is lax or nonexistent, capital market effects tend to be strong - up to an order of magnitude higher per fatality than willingness-to-pay estimates based on labor market data.     

A cointegrated structural VAR model of the Canadian economy

This paper implements a cointegrated structural VAR model of the Canadian economy using quarterly data over the period 1964–1994. The dynamic properties of the estimated model are compared to the predictions of a simple textbook macro model. Four long-run equilibrium relationships are tested: (i) consumption–income; (ii) consumption–wealth; (iii) money demand; and (iv) the Fisher equation. The empirical results obtained are generally consistent with the predictions of the textbook model's long-run implications, although level shifts are observed in the consumption/income and the wealth/income ratios. Similarly it is found that there was an increase in the ex post real interest rate, implying a level shift in the Fisher relation, following the Bank of Canada's policy change towards a stable price level target.     

THE PUZZLING DIVERGENCE OF RENTS AND USER COSTS, 1980–2004

This paper demonstrates that, in the context of U.S. housing data, rents and ex ante user costs diverge markedly—in both growth rates and levels—for extended periods of time, a seeming failure of arbitrage and a puzzle from the perspective of standard capital theory. The tremendous volatility of even appropriately‐smoothed ex ante annual user cost measures implies that such measures are unsuitable for inclusion in official price statistics. The divergence holds not only at the aggregate level, but at the metropolitan‐market level as well, and is robust across different house price and rent measures. But transactions costs matter: the large persistent divergences did not imply the presence of unexploited profit opportunities. In particular, even though detached housing is readily moved between owner and renter markets, and the detached‐unit rental market is surprisingly thick, transactions costs would have prevented risk‐neutral investors from earning expected profits by buying a property to rent out for a year, and would have prevented risk‐neutral homeowners from earning expected profits by selling their homes and becoming renters for a year. Finally, computing implied appreciation as a residual yields a house price forecast with huge errors; but either longer‐horizon or no‐real‐capital‐gains forecasts—which turn out to have similar forecast errors—imply a far less divergent user cost measure which might ultimately be useful for official price statistics. Some conjectures are offered.     

MEASURING VARIATIONS IN LIFETIME WELFARE EX ANTE AND EX POST: SOME EXPLORATORY CALCULATIONS

Whereas longevity‐adjusted consumption measures have become increasingly used as indicators of lifetime standards of living, it remained unnoticed that those measures, by relying on period – rather than cohort – life tables, constitute indicators of expected – rather than actual – lifetime standards of living. In order to estimate the actual gap between ex ante and ex post measures of lifetime welfare, this paper computes, for 19th‐century European economies, longevity‐adjusted consumption measures based on period and cohort life tables. It is shown that the gap between ex ante and ex post measures is statistically significant, and that attempts to reduce it are likely to be unsuccessful, because standards of living tend to exhibit, over temporal horizons as long as a human life, structural breaks, which make the ex ante measurement of lifetime welfare highly speculative.