As a portfolio manager responsible for the assets of a medium sized municipality, you get the following sales pitch from a broker you recently met: "Take a look at these inverse floater IOs (Interest Only mortgage-backed securities) that just came in! The yield looks good, and with the inverse floater, the rate you receive increases when interest rates decline, so your normal prepayment risk is hedged." 

Do you agree that you would be hedged? Briefly explain why or why not