Answer:
Last year: $26,250
Two years later = $45,360
Two years before = $21,875
Explanation:
Given that:
Constant fractional changes in salary = 1/5 (same as fractional changes in yearly price of stock).
Hector's current salary = $31,500
Therefore, total salary including the fractional increase with respect to the current salary will be in the form:
Current salary * (1 + 1/5)
1 + 1/5 = 6/5
Salary for previous year:
Current salary / (6/5)
If period to calculate is more than a year; then the fraction is raised to the root of the given year.
That is (6/5)^number of years
Previous year salary:
$31500 / (6/5)
= $31500 / 1.2
= $26,250
Salary 2 years from now:
$31500 * (6/5)^2
= $31500 * 1.2^2
= $31500 * 1.44
= $45,360
Two years before:
$31500 / (6/5)^2
= $31500 / 1.44
= $21,875