Imagine you're a risk manager at an asset management firm, tasked with calculating the Value at Risk (VaR) for a multi-asset portfolio consisting of stocks, bonds, and various derivatives such as options and swaps.
Walk me through the primary methods for calculating VaR in this context, detailing the advantages and disadvantages of each. Given this portfolio's composition, which method would you recommend, and what's your rationale? Additionally, what practical challenges or limitations might you face in implementing your chosen method?