Question

(Ignore income taxes in this problem.) Assume you can invest money at a 14 percent rate of return. How much money must be invested now to be able to withdraw $5,000 from this investment at the end of each year for eight years, the first withdrawal occurring one year from now

Answer 1

Answer:

the original amount invested = $285,714.29

Explanation:

Let original amount invested be x

Amount to be withdrawn per year = $5,000

Total number of years = 8

Total amount to be withdrawn = 5,000 × 8 = $40,000

Next, we are told that 14% return on x is realized,

∴ 14% return on x = $40,000

0.14 × x = 40,000

x = 40,000 ÷ 0.14 = $285,714.29

Therefore, the original amount invested = $285,714.29