I'm not sure what you mean.Any dynamic interest rate model will allow you to price this by simulation. Since you're making constant maturity investments, you could even use vanilla Black-Scholes assumptions.If you're asking whether any common interest rate model will give you an analytic price for this option, the answer is no.If you're asking whether any common interest rate model, calibrated to liquid vanilla instruments like government bonds, eurodollar swaptions and longer-term caps and floors, will give you an accurate price for this option, the answer depends on the term of your moving averages. I wouldn't even consider using a common model for terms under 30 days. If you are doing 30 day ma versus 180 day ma, one might work, but I wouldn't guess which one, I'd just backtest each one. But if you're doing a 3 day versus 15 day, or intraday trading, I'd use a different approach.For shorter-term, and maybe for all terms, you need a model that captures sort term volatility variation and trending. Jumps will dominate your results. There is a lot of work on this kind of model for equity and FX, which you can use because you're got a one-dimensional underlying. Interest rate models are not designed for this kind of work, they are designed for yield curves, a multidimensional underlying.