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"You deposit $12,000 today into an account that pays you 12% annual interest, compounded daily. How much MORE will you have in 40 years, than if the compounding was only computed annually (as opposed to daily)

User Mounhim
by
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1 Answer

1 vote

Answer:

$340,363.55

Step-by-step explanation:

you need to calculate the future value of your deposit:

future value = present value x (1 + interest rate)ⁿ

  • present value = $12,000
  • interest rate = 12% / 365 = 0.032877%
  • n = 40 x 365 = 14,600

future value = $12,000 x (1 + 0.032877%)¹⁴⁶⁰⁰ = $1,456,975.20

if the interest is compounded annually, the future value = $12,000 x 1.12⁴⁰ = $1,116,611.65

the difference = $1,456,975.20 - $1,116,611.65 = $340,363.55

User Sammiepls
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