This paper examines a simple basis risk model based on correlated geometric Brownian motions. We apply quadratic … criteria to minimize basis risk and hedge in an optimal manner. Initially, we derive the Föllmer–Schweizer decomposition for a … European claim. This allows pricing and hedging under the minimal martingale measure, corresponding to the local risk …

events that are each somewhat unique cause unforeseeable change and Knightian uncertainty in the process driving outcomes …

setting, an increase in uncertainty about future shocks causes significant contractions in the economy and may lead to non … outcomes. Fluctuations in uncertainty and the zero lower bound help our model match the unconditional and stochastic volatility …

with risk measured by CVaR and additional sophisticated constraints. The cash outflow shortages are penalized in the …

make it easier to implement risk management including derivative trading (including swaps). …

believe our work will open up a new risk investing paradigm for those seeking long-term advantages. …

This paper formulates a relaxed risk parity optimization model to control the balance of risk parity violation against … the total portfolio performance. Risk parity has been criticized as being overly conservative and it is improved by re …-introducing the asset expected returns into the model and permitting the portfolio to violate the risk parity condition. This paper …

Financial risk measurement is a challenging task because both the types of risk and their measurement techniques evolve … quickly. This book collects a number of novel contributions for the measurement of financial risk, which addresses partially … explored risks or risk takers in a wide variety of empirical contexts. …