Grandpa Joe decides to purchase a trust fund for his grandson Danny. The fund will start making payments 6 months from now, and will make semiannual payments forever. Grandpa Joe would like the payments to be of the form $X, 2X, X, 2X, X, 2X,\ldots$, but it would cost him 9600 dollars for such a fund. Since he doesn't want to spend that much money, he instead decides to purchase a trust fund where the first 26 payments will be for 25 dollars each, and then the remaining payments will be of the form $X, 2X, X, 2X, X, 2X,\ldots$. If the interest rate is 8.4 percent convertible semiannually, what is the price that Grandpa Joe pays for this trust fund?