Its your 25th birthday and you are about to enter the labour force for the first time. Your financial capital right now is exactly $0, but you have secured a job that pays w=$100,000 per year, and you plan to retire on your 65th birthday (i.e. 40 years of working). Your real salary wage grows by 1% each year (g=0.01) and the real interest rate is 2% (v=0.02). Please Formulate a mathematical expression that shows the ratio of your financial capital (F) to your wages (w), defined as M=F/w, at various ages, assuming you plan to age D=95. Full marks will be provided for an analytical expression for M, part marks for numerical answers.

For example, the answer might be a multiple of 2x salary wage at the age of 40, a multiple of 4x salary wage saved at the age of 55, and a multiple of 10x salary wage at the age of 65, etc. So, please fill-in the numbers in the table. Use the following for your calculations.

Age Multiple: Financial Capital / Salary Wage 0 25 40 55 65 Age Multiple: Financial Capital / Salary Wage 0 25 40 55 65