Kraft Foods is a US$-$based FMCG firm. The company has earned huge profits in the current year and wants to invest some money today with the objective of buying a new plant worth $$500,000$ for its snack food division after $5$ years. You are the manager of the company. How much money should you invest in a fixed deposit today to have a corpus amount of $$500,000$ at the end of the fifth year? The interest rate of the fixed deposit is $7\mathrm{.}5\%$ compounded annually. $($You can give approximate numbers as well$)$