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...

Modern Portfolio Theory (MPT) provides an elegant mathematical framework for the efficient portfolio allocation problem. Despite its exceptional popularity, MPT poses a number of well-documented problems in practical applications. Especially the fact that it generates notoriously extreme and...