A Log-Periodic Power Law (LPPL) model is used to see whether the price action for Bitcoin follows a log-periodic oscillation model for a speculative bubble and predicting its subsequent "crash".
When holding Bitcoin is not enough: Mean Variance Optimization for a Cryptocurrency Portfolio
Mean Variance Optimization is performed on a test basket of 15 cryptocurrencies to create an optimal portfolio that lies on the Efficient Frontier. Several practical portfolio scenarios are examined.
A Monte Carlo simulation of Bitcoin price modeled as a fractional Brownian Motion.
Bitcoin (BTC/USD) price is modeled as a stochastic process following a fractional Brownian motion (fBm) demonstrated via a Hurst exponent (H) to try and measure the long term memory in the time series. Monte Carlo simulations were performed on this model to extend historical data and forecast Bitcoin price. Out of sample simulation results showed accuracy was to within ~10% of current prices. The 180 day (6 month) most probable (median) forward looking Bitcoin price prediction is ~USD14,211 by May 2018 and implying upside risk of ~95%. In addition, within this time frame Quantile risk/loss estimates show that there is only a 5% tail-end risk of a drop back to the ~$2000 price level (or a ~70% price drop).