As of this writing, the Ashford Hospitality Trust Series H preferred (AHT.H) is the highest yielding with a yield of 41.48 percent. But with shares of the trust preferred trading under $5 compared to a par value of $25, there’s a high chance of a dividend cut or suspension as the underlying REIT is going through some trouble. Even when a preferred stock’s yield has to be cut, a cumulative preferred stock has to eventually make all unpaid dividends in the future when it can.