A local government is about to run a lottery but does not want to be involved in the payoff if a winner picks an annuity payoff. The government contracts with a trust to pay the lump$-$sum payout to the trust and have the trust $($probably a local bank$)$ pay the annual payments. The first winner of the lottery chooses the annuity and will receive $$150,000$ a year for the next $25$ years. The local government will give the trust $$2,000,000$ to pay for this annuity. What investment rate must the trust earn to break even on this arrangement?