Multivariate coherent risks can be described as classes of portfolios consisting of extra capital reserves that are used to cover potential losses under various scenarios. Tail risk refers to the risk associated with extremal events and is often affected by extremal dependence among multivariate extremes. Multivariate tail risk, as measured by a coherent risk measure of tail conditional expecta...

We explore generalizations of the pari-mutuel model (PMM), a formalization of an intuitive way of assessing an upper probability from a precise one. We discuss a naive extension of the PMM considered in insurance, compare the PMM with a related model, the Total Variation Model, and generalize the natural extension of the PMM introduced by P. Walley and other pertained formulae. The results are ...

The implementation of appropriate statistical techniques for monitoring conditional VaR models, i.e, backtesting, reported by institutions is fundamental to determine their exposure to market risk. Backtesting techniques are important since the severity of the departures of the VaR model from market results determine the penalties imposed for inadequate VaR models. In this paper we make six con...

We propose a new mortgage contract that endogenizes the risk of house price declines and thus minimizes default risk resulting from changes in the underlying asset value while still retaining contract rates near the cost of a standard fixed-rate mortgage. Our new mortgage recognizes that the lender is the most economically efficient bearer of house price risk. By reducing the role of the legal ...

In this paper, using China’s risk-free and corporate zero yields together with aggregate credit risk measures and various control variables from 2006 to 2013, we document a puzzle of counter-credit-risk corporate yield spreads. We interpret this puzzle as a symptom of the immaturity of China’s credit bond market, which reveals a distorted pricing mechanism latent in the fundamental of this mark...

Maximum Relative Drawdown measures the largest percentage drop of the price process on a given time interval. More recently, Maximum Relative Drawdown has become more popular as an alternative measure of risk. In contrast to the Value at Risk measure, it captures the path property of the price process. In this article, we propose a partial differential equation approach to determine the theoret...

We develop a new approach to pricing and hedging contingent claims in incomplete markets. Mimicking as closely as possible in an incomplete markets framework the no{arbitrage arguments that have been developed in complete markets leads us to de ning the concept of pseudo{arbitrage. Building on this concept we are able to extend the no{arbitrage idea to a world of incomplete markets in such a wa...

Traditionally, the measure of risk used in portfolio optimisation models is the variance. However, alternative measures of risk have many theoretical and practical advantages and it is peculiar therefore that they are not used more frequently. This may be because of the difficulty in deciding which measure of risk is best and any attempt to compare different risk measures may be a futile exerci...

At t = 0, two instruments are available. Any amount (even fractional) of either instrument may be sold or puschased at the specified market price i.e., arbitrary short or long positions are allowed. A risk free asset or bond, B, and a stock, S. At t = 0 (the first period), the bond is worth B(0), and, the stock is worth S(0) = 100. At t = T (the second period), the economy can be in one of two ...

In a binary prediction market in which risk-neutral traders have heterogeneous prior beliefs and are allowed to invest a limited amount of money, the static rational expectations equilibrium price is demonstrated to underreact to information. This effect is consistent with a favorite-longshot bias, and is more pronounced when prior beliefs are more heterogeneous. Relaxing the assumptions of ris...