If you can time the market, then by all means, do that. The reason periodic rebalancing works, is because stocks and bonds don’t exclusively go up (or down). By rebalancing you can take advantage of a racheting effects as a result of signal variance. By rebalancing at set times, you can overcome the psychological effects of waiting just one more day to get gains that then evaporate while you watch.
I’m having a hard time finding the paper around instantaneous rebalancing eroding the effects (or any good papers atm). But you can model this very easily. You can take 2 signals that randomly walk up or down. One at a “high apr” and one with a “low apr”. I’m not sure if it matters, but typically I’d expect the lower apr to have lower variance of the 2. Most of the literature around rebalancing assumes lower volatility of at least one asset class, but I’m not convinced it’s necessary from some of the math I’ve seen. You may need to add an assumption of correlation between the 2. Be sure to include code that if a signal reaches 0 it stays there. Be sure to backtest as well. Few strategies work in a bear market, but rebalancing is expected to still outperform when markets go down.
Kelly criterion is another thing to look up. It’s a mathematical look at betting stategies and what’s the biggest bet you can afford to make in the long term given that no bet is 100% gauranteed.
You're making this sound more complicated that it is. Correlations, random walks, backtesting, strategies, rebalancing, kelly criterion, have nothing to do with this.
Bonds give you cash later. Cash loses value over time.
Stocks give you a participation in the best companies in the world.
Bonds versus S&P I know which one I'm holding. Good luck with your thing.
I’m having a hard time finding the paper around instantaneous rebalancing eroding the effects (or any good papers atm). But you can model this very easily. You can take 2 signals that randomly walk up or down. One at a “high apr” and one with a “low apr”. I’m not sure if it matters, but typically I’d expect the lower apr to have lower variance of the 2. Most of the literature around rebalancing assumes lower volatility of at least one asset class, but I’m not convinced it’s necessary from some of the math I’ve seen. You may need to add an assumption of correlation between the 2. Be sure to include code that if a signal reaches 0 it stays there. Be sure to backtest as well. Few strategies work in a bear market, but rebalancing is expected to still outperform when markets go down.
Kelly criterion is another thing to look up. It’s a mathematical look at betting stategies and what’s the biggest bet you can afford to make in the long term given that no bet is 100% gauranteed.