This report attempts to answer the question: What underlying portfolio should one use to hedge an active fund? We introduce a framework which allows us to conduct analysis on simulated realistic active portfolios in order to build intuition as to how hedge mismatch error affects the level of...

Equity derivatives offer fund managers a great deal of flexibility in managing the risk of a portfolio and shaping the overall future return distribution. It can, however, be difficult for fund managers to decide on an appropriate protection strategy, both in terms of the proportion of equity to...

What began as a single COVID-19 case in China in late 2019 quickly spread around the globe in the first quarter of 2020. While the impact on the world\'s health systems is unknown, the economic toll remains also remains unknown as the world grapples with an unprecedented global recession. This...

In the large context of valuation adjustments, collectively referred to as “XVA”, we treat replication strategies as a unique way to calculate fair price equations. We consider different replication strategies (Piterbarg, Burgard-Kjaer and our contribution) and identify the valuation...

As a preliminary study of the effect of return and sampling on chaos and stochastic data pattern, this research tests chaos pattern by using Henon attractor as a sample of two-dimensional discrete chaos data with an assumption that economic and finance data are generated by low dimensional chaos...

The economy is heterogeneous, complex, dynamic, interdependent and interactive. This new market paradigm developed for analyzing economic behaviors gives a holistic analysis of the system by employing the Behavioral Systems Approach, Cobweb Theorem and Evolutionary Game Theory in obtaining the...

In this paper, we develop a series of approximations for a fast analytical pricing of European constant maturity swap (CMS) products, such as CMS swaps, CMS caps/floors, and CMS spread options, for the LIBOR Market Model (LMM) with stochastic volatility. The derived formulas can also be used for...

The widely-used estimator of Berry, Levinsohn and Pakes (1995) produces estimates of consumer preferences from a discrete-choice demand model with random coefficients, market-level demand shocks and endogenous prices. We derive numerical theory results characterizing the properties of the nested...

We revisit the cross-currency LIBOR Market Model armed with the technique of Markovian projection. We derive an efficient approximation for FX options and show how the FX skew can be modeled consistently with the interest rate skew in a common multifactor model

There is nothing like a market crash to focus the mind on the importance of risk management and, more specifically, tail risk management. Because tail events are generally systemic in nature and are characterised by elevated correlations and liquidity squeezes, effective tail risk management is...