Evaluating the Impact of Bitcoin on International Asset Allocation using Mean-Variance, Conditional Value-at-Risk (CVaR), and Markov Regime Switching Approaches
Evaluating the Impact of Bitcoin on International Asset Allocation using Mean-Variance, Conditional Value-at-Risk (CVaR), and Markov Regime Switching Approaches
M. Mahmoudi
TLDR
A Markov regime switching approach is developed to analyze the effect of Bitcoin on an international portfolio performance and shows that there are two regimes based on the assets’ returns: 1) bear state, where returns have low means and high volatility, 2) bull state,Where returns have high means and low volatility.
Abstract
This paper aims to analyze the effect of Bitcoin on portfolio optimization using mean-variance, conditional value-at-risk (CVaR), and Markov regime switching approaches. I assessed each approach and developed the next based on the prior approach’s weaknesses until I ended with a high level of confidence in the final approach. Though the results of mean-variance and CVaR frameworks indicate that Bitcoin improves the diversification of a well-diversified international portfolio, they assume that assets’ returns are developed linearly and normally distributed. However, the Bitcoin return does not have both of these characteristics. Due to this, I developed a Markov regime switching approach to analyze the effect of Bitcoin on an international portfolio performance. The results show that there are two regimes based on the assets’ returns: 1) bear state, where returns have low means and high volatility, 2) bull state, where returns have high means and low volatility.
