+123 e. An employee has a starting salary of $20,000 and can choose from two salary options:
Option 1: A salary increase by 5% each year.
Option 2: A guaranteed increase of $1,000 each year.
i. Which option is initially more beneficial?
ii. Which option is more beneficial after 10 years of employment?
iii. Explain your reasoning
+37146 Initially, they are both the same after 1 year he will get a $1000 raise with each method. After the first year, the 5% one begins to be better and better due to compounding.
At 10 years the 5% option will be paying him 20000(1.05)^10 = 32577.89 / yr
the 1000 increase per year will only be paying 30,000 (20000 + 1000*10)
i. 5% of 20,000 is 1,000, so initially the options are equal
ii. Take Option 1. Not only is it more beneficial after 10 years, it's more beneficial after only 2 years. After the first year, the salary is 21,000 so calculating the salary increase on 21,000 the second year the increase would be 5% of 21,000 which is 1,050. That made the salary 22,050 and the next increase would be 5% of 22,050 which is 1,102.50.
