Problema Solution

You have $500,000 in an IRA (Individual Retirement Account) at the time you retire. You have the option of investing this money in two funds: Fund A pays 1.8% annually and Fund B pays 6.8% annually. How should you divide your money between Fund A and Fund B to produce an annual interest income of $24,500?

Answer provided by our tutors

let


x = the money invested in Fund A


y = the money invested in Fund B


x + y = 500,000


0.018x + 0.068y = 24,500


by solving we find:


x = $190,000


y = $310,000


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you should invest $190,000 in Fund A and $310,000 in Fund B.