Peter has opened a retirement investment account and plan to contribute $6,000 at the end of each year to his account for 30 years. He wants to retire when he has $1 million in the account. What expected annual rate of return must earn to have $1 million in his account?

1.92

Explanation:

Using the compound interest formula

A= P [ (1-i)^n-1 (where A= 1,000,000, P= 6000, i= ?, n= 30)

1000000 = 6000 [ (1 - i)^30-1

1000000 = 6000 [ (1 - i)^29

1000000 = (6000 - 6000i)^29

1000000/6000 = (6000/6000 -6000i/6000)^29

= 166.66 = i^29

= 29✓166.66 = ✓i^29

= 1.92 = i

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