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You have a savings goal to purchase a house in 5 years. However, you want minimize your mortgage payments as much as possible. You decide to set a lofty goal to put down
\$100,000 when its time to purchase. To achieve this, you plan to make a one-time lump sum investment now and let it grow over the 5-year period. The bank offers a special plan
for first time home buyers that offers an annual interest rate of 8\%, with the interest being compounded monthly. What initial lump sum amount do you need to invest today to
ensure that your investment grows to \$100,000 in 5 years? (round to the nearest dollar) \$