The goal of Section I is to show the economic foundations for the form of the distortion function A[dt; κ] in equation (2). This is formalized through Proposition IA3 and Corollary IA4.Section II contains the proof of axiomatic consistency properties of the MAP performance measure (Section...

We present a new term-structure model for commodity futures prices based on Trolle and Schwartz (2009) which we extend by incorporating multiple jump processes. Our work explores the valuation of plain vanilla options on futures prices when the spot price follows a log-normal process, the...

This technical note serves to establish proofs for the list of statements in Bakshi, Crosby,and Gao (2019). We maintain their notation. Equation numbers not prefixed by letters refer to equations in Bakshi, Crosby, and Gao (2019). Section I studies the quantitative implications of the Vasicek...

If the evolution of equity index volatility and the pricing kernel were to be absent of risks unspanned by index futures, it would counterfactually imply that (i) the expected excess return of OTM calls on futures is positive, (ii) the expected excess return of straddles is approximately zero,...

We develop an axiomatically consistent way of ranking and scoring funds that respects an industry benchmark. Our performance measure, termed MAP, accounts for the feature that investors may exhibit skepticism when evaluating investment strategies versus a benchmark. Linking developed theory to...

Key to deriving the lower bound to the expected excess return of the market in Martin (2017) is the assumption of the negative correlation condition (NCC). We improve on the lower bound characterization by proposing an exact formula for the conditional expected excess return of the market. In...