Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $73,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?

Respuesta :

Answer:

6.5017%

Explanation:

Given that,

Total cost of a college education when your child enters college in 16 years, Future value = $200,000

Amount today to invest, present value = $73,000

Time period = 16 years

Therefore,

Annual rate of interest:

[tex]FV=PV(1+r)^{t}[/tex]

[tex]200,000=73,000(1+r)^{16}[/tex]

[tex]r =(\frac{200,000}{73,000})^{\frac{1}{16}}-1[/tex]

r = 6.5017%

Therefore, the annual rate of interest you must earn on your investment to cover the cost of your child’s college education is 6.5017%.

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