We study the representative consumer's risk attitude and efficient risk-sharing rules in a single-period, single-good economy in which consumers have homogeneous probabilistic beliefs but heterogeneous risk attitudes. We prove that if all consumers have convex absolute risk tolerance, so must...

The topics of Economic Capital modelling, reverse stress testing and credit limits are inextricably intertwined as they all focus on exceptional loss events. In this paper, we use the KVA framework in to frame these three topics within a single unified approach. We propose setting credit limits...

In this study, I develop a novel methodology to extract crash risk premia from options and stock markets. I document a dramatic increase in crash risk premia after the 2008/2009 nancial crisis, indicating that investors are willing to pay high insurance to hedge against crashes in individual...

In this paper, I examine how financialization affects the term structure of risk premia by using an equilibrium model for commodity futures markets. I define financialization as the entry of cross-asset investors, who are exposed to a commodity risk, into a commodity market. Qualitatively, the...

Equity index collar strategies are often perceived as a way for investors, at little to no cost, to exchange some upside exposure for reduced losses on the downside. That perception may be accurate if one considers only the net dollar cost of the strategy's initial option trades, but it fails to...

We show that a model featuring an average commodity factor, a carry factor, and a momentum factor is capable of describing the cross-sectional variation of commodity returns. More parsimonious one- and two-factor models that feature only the average and/or carry factors are rejected. To provide...

Regardless of the distributions of spot and futures returns, the hedge ratio determined by minimizing the portfolio's Aumann and Serrano (2008) index of riskiness is always smaller than the hedge ratio determined by minimizing the portfolio's variance. It is also demonstrated that the Foster and...

This paper proposes a framework that decomposes the market risk into three components: upside, downside, and tail risk. Their risk premiums can be estimated using information from either the index options market or the stock market. The estimated premiums from both markets share two important...

The conventional wisdom that housing prices are the present value of future rents ignores the fact that rents are not discretionary as in dividends on stocks. Housing price uncertainty can affect household property investment, which in turn affects rent. By extending the theory of investment...

Households that contemplate moving to different cities or trading up/down in the future are exposed to substantial housing risk. In order to mitigate this risk, we derive optimal portfolios using CME housing futures. Housing investment risk is hedged by selling housing futures amounting to the...