Question

If inflation is increasing at 2.4 percent per year, and your salary increases at the same rate, how long will it take your salary to double? (Round up your answer to the next whole number.)

Answer 1

it take 29.23 years, my salary to double.

Step-by-step explanation:

To make the salary double I have to increase the value of salary by 100%. If inflation rate is 2.4 percent per year and salary increase the same rate the time period to make it double can be calculated as follow.

As every year 2.4% has compounding effect, so we will use compounding formula to solve this problem.

Target value = Existing value ( 1 + growth rate )^time period

200% = 100% ( 1 + 2.4% )^n

2 = 1 ( 1 + 0.024 )^n

2 = 1 ( 1.024 )^n

2 = 1.024^n

Taking log on both sides to solve the n

Log 2 = n Log 1.024

n = Log 2 / Log 1.024

n = 29.23 years

I will take 29.23 year to double the salary