The future amount of an investment with compound interest can be calculated through the equation,
F = P x (1 + ieff)^n
where F is the future amount, P is the current value of the money, ieff is the effective interest (rate per year), and n is the number of years.
From the equation, all are given except for the effective interest, i. Now, substituting the known values,
14,398.87 = (7,775) x (1 + ieff)^14
The value of ieff from the equation is 0.044999.
Since the value of the ieff when translated to percentage is equal to 4.5% as well, the interest rate is compounded yearly.
