To determine the amount of time it would take for an investment to double in size when earning 4.73% interest compounded continuously, we can use the formula:
t = (ln 2) / r
where t is the time, ln is the natural logarithm, 2 is the factor by which the investment needs to grow, and r is the interest rate as a decimal.
Substituting the given values, we get:
t = (ln 2) / 0.0473
Using a calculator or approximation, we find:
t ≈ 14.67 years
Therefore, it would take approximately 14.67 years for the investment to double in size at an interest rate of 4.73% compounded continuously.