Answer:
<u>Mike Finley</u>
t = 7.999983133 years rounded off to 8 years
<u>Sally Williams</u>
r = 0.110000123 or 11.0000123% rounded off to 11.00%
Explanation:
<u>Mike Finley</u>
To calculate the time period it will take Mike Finley to become a millionaire, we will use the formula of future value of cash flow. The formula for future value of cash flow is as follows,
Future value = Present value * (1+r)^t
Where,
- r is the interest rate or rate of return
- t is the time period in years
Plugging in the values for Future value, present value and r in the formula, we can calculate the t to be,
1000000 = 403884 * (1+0.12)^t
1000000 / 403884 = 1.12^t
2.475958444 = 1.12^t
Taking log on both sides.
ln(2.475958444) / ln(1.12) = t
t = 7.999983133 years rounded off to 8 years
<u>Sally Williams</u>
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We will use the same formula for future value of cash flows as we used above to calculate the rate at which investment should be compounded annually to grow to $1 million.
1000000 = 209004 * (1+r)^15
1000000 / 209004 = (1+r)^15
4.784597424 = (1+r)^15
Taking root of 1 on both sides.
(4.784597424)^1/15 = (1+r)^15 * 1/15
1.110000123 = 1+r
1.110000123 - 1 = r
r = 0.110000123 or 11.0000123% rounded off to 11.00%
