We study the optimal policies and mean-variance frontiers (MVF) of a multiperiod mean-variance optimization of assets and liabilities (AL). Our model allows for a contemporaneous optimization of the balance-sheet as a whole. This makes the analysis more challenging than in a setting based on...

We develop a continuous time general equilibrium yield curve model under ambiguity aversion. A moderate level of ‘aggregate ambiguity’ affects significantly the term structure and can drive the prices of common interest rate derivatives toward the patterns observed in fixed income markets....

We introduce a new class of flexible and tractable matrix a±ne jump-diffusions (AJD) to modelmultivariate sources of financial risk. We first provide a complete transform analysis of this model class,which opens a range of new potential applications to, e.g., multivariate option pricing with...

In a Lucas orchard with heterogeneous beliefs, we study the link between market-wide uncertainty, difference of opinionsand co-movement of stock returns. We show that this link plays an important role in explaining the dynamics of equilibriumvolatility and correlation risk premia. In our...

We study an equilibrium asset pricing model with several Lucas (1978) trees subject toevent risk, that is, the possibility that trees experience unexpected disasters. We exploit themarket clearing mechanism, in the presence of multiple positive net supply assets, to showthat the implications of...

We develop a new completely affine model of the term structure of interest rates, in which the statevariables evolve as a matrix-valued process of stochastically correlated factors. This setting grants a newelement of flexibility in the simultaneous modeling of stochastic volatilities and...

In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...

We study discretizations of polynomial processes using finite state Markov processes satisfying suitable moment matching conditions. The states of these Markov processes together with their transition probabilities can be interpreted as Markov cubature rules. The polynomial property allows us to...

We develop a novel contract design, the fed funds futures (FFF) variance futures, which reflects the expected realized basis point variance of an underlying FFF rate. The valuation of short-term FFF variance futures is completely model-independent in a general setting that includes the cases...

Empirical evidence suggests that fixed income markets exhibit unspanned stochastic volatility (USV), that is, that one cannot fully hedge volatility risk solely using a portfolio of bonds. While Collin-Dufresne and Goldstein (2002) showed that no two-factor Cox-Ingersoll-Ross (CIR) model can...