The authors derive low frequency, say weekly, models implied by high frequency, say daily, ARMA models with symmetric GARCH errors. They show that low frequency models exhibit conditional heteroskedasticity of the GARCH form as well. The parameters in the conditional variance equation of the low frequency model depend upon mean, variance, and kurtosis parameters of the corresponding high frequency model. Moreover, strongly consistent estimators of the parameters in the high frequency model can be derived from low frequency data. The common assumption in applications that rescaled innovations are independent is disputable, since it depends upon the available data frequency.

This paper studies the life-cycle consumption and portfolio choice problem taking account of annuity risk at retirement. The study allows for government-provided annuity income. Optimally, households allocate retirement wealth to nominal, inflation-linked and variable annuities, and condition this choice on the state of the economy. The case in which there are limitations in the types of annuities that are available is also considered and the costs of annuity market incompleteness are quantified. Subsequently, the paper determines how investors optimally anticipate annuitization before retirement. The conclusion is that ignoring annuity risk before and at retirement can be economically costly.

One-period expected returns on futures contracts with different maturities differ because of risk premia in the spreads between futures and spot prices. We analyze the expected returns for futures contracts with different maturities using the information that is present in the current term structure of futures prices. A simple affine one-factor model that implies a constant covariance between the pricing kernel and the cost-of-carry cannot be rejected for heating oil and German Mark futures contracts. For gold and soybean futures, the risk premia depend on the slope of the current term structure of futures prices, while for live cattle futures, the evidence is mixed.

We study the importance of time-varying bond risk premia in a consumption and portfolio-choice problem for a life-cycle investor facing short-sales and borrowing constraints. Tilts in the optimal asset allocation in response to changes in bond risk premia exhibit pronounced life-cycle patterns. We find that the investor is willing to pay an annual fee up to 1% to implement a strategy that optimally conditions on prevailing bond risk premia in addition to her age and wealth. To solve our model, we extend recently developed simulation-based techniques to life-cycle problems featuring multiple state variables and multiple risky assets. The Author 2009. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please email: [email protected], Oxford University Press.

We present a simple model implying that futures risk premia depend on both own‐market and cross‐market hedging pressures. Empirical evidence from 20 futures markets, divided into four groups (financial, agricultural, mineral, and currency) indicates that, after controlling for systematic risk, both the futures own hedging pressure and cross‐hedging pressures from within the group significantly affect futures returns. These effects remain significant after controlling for a measure of price pressure. Finally, we show that hedging pressure also contains explanatory power for returns on the underlying asset, as predicted by the model.

We test whether hedging currency risk improves the performance of international stock portfolios.We show that an auxiliary regression provides a wealth of information about the optimal portfolio holdings for non-mean–variance investors, analogous to the information provided by the Jensen regression about optimal portfolio holdings for the mean–variance case. We find that static hedging with currency forwards does not lead to significant improvements in portfolio performance for a US-Dollar based stock portfolio from the G5 countries, whereas dynamic hedges that are conditional on the interest rate spread do. These conclusions hold for both mean–variance and power utility investors and show up both in-sample and out-of-sample. However, the optimal forward positions can differ significantly for both types of investors.

We identify two types of risk premia in commodity futures returns: spot premia related to the risk in the underlying commodity, and term premia related to changes in the basis. Sorting on forecasting variables such as the futures basis, return momentum, volatility, inflation, hedging pressure, and liquidity results in sizable spot premia between 5% and 14% per annum and term premia between 1% and 3% per annum. We show that a single factor, the high‐minus‐low portfolio from basis sorts, explains the cross‐section of spot premia. Two additional basis factors are needed to explain the term premia.

We propose regression‐based tests for mean‐variance spanning in the case where investors face market frictions such as short sales constraints and transaction costs. We test whether U.S. investors can extend their efficient set by investing in emerging markets when accounting for such frictions. For the period after the major liberalizations in the emerging markets, we find strong evidence for diversification benefits when market frictions are excluded, but this evidence disappears when investors face short sales constraints or small transaction costs. Although simulations suggest that there is a possible small‐sample bias, this bias appears to be too small to affect our conclusions.