In order to solve this, we have to use the formula of the future value of an annuity with compounded interest given by the following expression:
[tex]FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})[/tex]Where P is the periodic payment, r is the rate of interest. n is the number of times the interest is compound a year and t the year, by replacing 310 for P, 0.07(7%) for r, 4 for n, and 26 for t, we get:
[tex]FV=310(\frac{(1+0.07\/4)^{4\times26}-1}{\frac{0.07}{4}})=89908.22[/tex]Then, the total value of the annuity in 26 years will be $89908.22