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Nonparametric Density Estimation and Tests of Continuous Time Interest Rate Models

Review of Financial Studies 1998 11(3), 449-487 open access
A number of recent papers have used nonparametric density estimation or nonparametric regression to study the instantaneous spot interest rate, and to test term structure models. However, little is known about the performance of these methods when applied to persistent time-series, such as U.S. interest rates. This paper uses the Vasicek [1977] model to study the performance of kernel density estimates of the ergodic distribution of the instantaneous spot rate. The model's tractability allows me to analyze the MISE of the kernel estimate as a function of persistence, variance of the ergodic distribution, span of the data, sampling frequency, and kernel bandwidth. Our principle result is that persistence has an important impact on optimal bandwidth selection and on finite sample performance. We also find that sampling the data more frequently has little effect on estimator quality. We also examine one of Ait-Sahalia's [1996a] new nonparametric tests of parametric continuous-time Markov ...

Transaction Costs and Asset Prices: A Dynamic Equilibrium model

Review of Financial Studies 1998 11(1), 1-58 open access
In this article we study the effects of transaction costs on asset prices. We assume an overlapping generations economy with a riskless, liquid bond, and many risky stocks carrying proportional transaction costs. We obtain stock prices and turnover in closed form. Surprisingly, a stock's price may increase in transaction costs, and a more frequently traded stock may be less adversely affected by an increase in transaction costs. Calculations based on the “marginal” investor overestimate the effects of transaction costs. For realistic parameter values, transaction costs have very small effects on stock prices but large effects on turnover.

Pricing Mortgage-Backed Securities in a Multifactor Interest Rate Environment: A Multivariate Density Estimation Approach

Review of Financial Studies 1997 10(2), 405-446 open access
Multivariate density estimation (MDE) suggests that mortgage-backed security (MBS) prices can be well described as a function of the level and slope of the term structure. We analyze how this function varies across MBSs with different coupons. An important finding is that the interest rate level proxies for the moneyness of the option, the expected level of prepayments, and the average life of the cash flows, while the term structure slope controls for the average rate at which these cash flows should be discounted. Though the origination and prepayment behavior of mortgages differ substantially across coupons, there remains an unexplained common factor in MBS prices. This factor does not seem to be related to the usual suspects and therefore presents a puzzle to financial economists.

The Valuation of Nonsystematic Risks and the Pricing of Swedish Lottery Bonds

Review of Financial Studies 1997 10(2), 447-480 open access
Swedish government lottery bonds have coupon payments determined by lottery. They offer a unique opportunity to study a security with uncertain payoffs having a known, observable distribution. The risk associated with the lotteries is idiosyncratic by construction and should not command a risk premium in equilibrium. The bonds are traded in two forms, allowing us to evaluate the rewards to bearing extra lottery risk. Despite its idiosyncratic nature, we find prices appear to reflect aversion to this risk. We evaluate the empirical determinants of this differential pricing and possible explanations for it.

Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks

Review of Financial Studies 1997 10(4), 1035-1064 open access
This article develops and tests a structural model of intraday price formation that embodies public information shocks and microstructure effects. We use the model to analyze intraday patterns in bid-ask spreads, price volatility, transaction costs, and return and quote auto-correlations, and to construct metrics for price discovery and effective trading costs. Information asymmetry and uncertainty over fundamentals decrease over the day, although transaction costs increase. The results help explain the U-shaped pattern in intraday bid-ask spreads and volatility, and are also consistent with the intra-day decline in the variance of ask price changes.

How Different Is Japanese Corporate Finance? An Investigation of the Information Content of New Security Issues

Review of Financial Studies 1996 9(1), 109-139 open access
This paper studies the shareholder wealth effects associated with 875 new security issues in Japan from January 1, 1985 to May 31, 1991. The sample includes public equity, private equity, rights offerings, straight debt, warrant debt and convertible debt issues. Contrary to the U.S., the announcement of convertible debt issues is accompanied by a significant positive abnormal return of 1.05%. The announcement of equity issues has a positive abnormal return ofO.45%, significant at the 0.10 level, but this positive abnormal return can be attributed to one year in our sample and is offset by a negative issue date abnormal return of -1.01%. The abnormal returns are negatively related to firm size, so that for equity issues (but not for convertible debt issues), large Japanese firms have significant negative announcement abnormal returns. Our evidence is consistent with the view that Japanese managers decide to issue shares based on different considerations than American managers.

Multivariate Binomial Approximations for Asset Prices with Nonstationary Variance and Covariance Characteristics

Review of Financial Studies 1995 8(4), 1125-1152 open access
In this article, we suggest an efficient method of approximating a general, multivariate log-normal distribution by a multivariate binomial process. There are two important features of such multivariate distributions. First, the state variables may have volatilities that change over time. Second, the two or more relevant state variables involved may covary with each other in a specified manner, with a time-varying covariance structure. We discuss the asymptotic properties of the resulting processes and show how the methodology can be used to value a complex, multiple exercisable option whose payoff depends on the prices of two assets. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

Measurement of Market Integration and Arbitrage

Review of Financial Studies 1995 8(2), 287-325 open access
We develop a measurement theory of market integration, based on two notions of “integrated markets”. First, two markets cannot be perfectly integrated in any sense if one can construct two portfolios, one from each market, that have identical payoffs but different prices. In that case, the law of one price is violated across the markets. Second, they cannot be integrated in a stronger sense if there are cross-market arbitrage opportunities. Two measures of market integration are developed, respectively reflecting these notions. The smaller the measures, the more closely integrated (in the respective senses) the markets. Among other things, they are interpreted as measuring pricing discrepancy between markets.

A General Equilibrium Model of Portfolio Insurance

Review of Financial Studies 1995 8(4), 1059-1090 open access
This article examines the effects of portfolio insurance on market and asset price dynamics in a general equilibrium continuous-time model. Portfolio insurers are modeled as expected utility maximizing agents. Martingale methods are employed in solving the individual agents' dynamic consumption-portfolio problems. Comparisons are made between the optimal consumption processes, optimally invested wealth and portfolio strategies of the portfolio insurers and "normal agents." At a general equilibrium level, comparisons across economies reveal that the market volatility and risk premium are decreased, and the asset and market price levels increased, by the presence of portfolio insurance. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

Investment and Insider Trading

Review of Financial Studies 1995 8(2), 501-543 open access
We study insider trading in a dynamic setting. Rational, but uninformed, traders choose between investment projects with different levels of insider trading. Insider trading distorts investment toward assets with less private information. However, when investment is sufficiently information elastic, insider trading can be welfare-enhancing because of more informative prices. When insiders repeatedly receive information, they trade to reveal it when investment is information elastic because good news increases investment and hence future insider profits. Thus, more information is revealed and uninformed agents are exploited less frequently by insiders. Both effects are Pareto-improving. Finally, we consider various insider-trading regulations.