In: Finance
You decide that, starting when you are 20 years old, you will save $5 a day for retirement. At the end of the year, you invest the accumulated savings ($1,825) in a brokerage account with an expected annual return of 8%. If you continue the practice every year until you are 65, how much money will you have? Please use two decimals rounded up.
Deposit amount (P) = 1825
Number of deposits = n= 65-20= 45
Rate= r= 8% pa
Accumulated amount at the age of 65= Future Value of annuity = A* ((1+rate)^n-1)/rate
= 1825*((1+8%)^45-1)/8%
=1825*386.5056174
= $705372.75