The volatilities of Treasury and time deposit markets comove with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of Treasury volatility or, say, that of the Eurodollar LIBOR? How...

Eurodollar deposit volatility comoves with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of time deposit volatility? How can we express this price in a model-free format? Despite...

Credit volatility correlates quite modestly with equity volatility. Currently, only backward-looking indexes for credit volatility exist. We derive model-free indexes of expected CDS index spread volatility that rely on CDS index option prices, which re ect the fair value of dedicated credit...

While CBOE's VIX index is widely acknowledged as a broad-based investor “fear gauge” for its strong inverse relationship with major equity indexes, one cannot necessarily expect it to translate to the level of future turbulence or investor risk aversion in fixed-income markets. Indeed,...

Duality for robust hedging with proportional transaction costs of path dependent European options is obtained in a discrete time financial market with one risky asset. Investor's portfolio consists of a dynamically traded stock and a static position in vanilla options which can be exercised at...

Treasury price volatility comoves with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of Treasury volatility? How can we express this price in a model-free format? Despite the...

I introduce dynamic option trading and non-linear views into the classical portfolio selection problem. The optimal dynamic option portfolio is characterized explicitly in terms of its expected sensitivities (Greeks) and the role of the mean-variance effi cient portfolio is played by the "Greek...

An investor with constant absolute risk aversion trades a risky asset with general Itôdynamics, in the presence of small proportional transaction costs. In this setting, we formally derive a leading-order optimal trading policy and the associated welfare, expressed in terms of the local...

We analyze the implications of dynamic flows on a mutual fund manager's portfolio decisions. In our model, a myopic investor is allowed to dynamically allocate capital between a riskless asset and an actively managed mutual fund who charges fraction of fund fees. The presence of dynamic flows...

We show how distributions can be reduced to low-dimensional scenario trees. Applied to intertemporal distributions, the scenarios and their probabilities become time-varying factors. From S&P 500 options, two or three time-varying scenarios suffice to forecast returns, implied variance or...