In: Finance
Your goal in life is to be a millionaire. Today, your financial
portfolio is worth $3,733.24. After extensive studying of the stock
market and the nature of investments, you have determined that you
can earn 15% every year on your portfolio. You do not plan to
invest any additional money in this portfolio, nor will you
withdraw any funds from it before it grows to $1 million. Given
your 15% interest rate, how long will you have to wait to become a
millionaire if this investment represents all your
wealth?
Show handwritten work.
n = [log(FV/PV)] / [log(1+r)]
= [log($1,000,000/$3,733.24)] / [log(1+0.15)]
= [log(267.8638)] / [log(1.15)]
= 5.5905 / 0.1398
= 40
So, it will take 40 years to become a millionaire.