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4. If you want to pay yourself $600 per year for the next 10 years, how much must you deposit today in an investment accounts
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Answer #1
Present value of an annuity = C*[(1-(1/(1+r)^t))/r]
where C is the annuity payment that is 600.
r is the interest rate that is 10%.
t is the time period in years that is 10.
Present value of the annuity = 600*[(1-(1/(1.10)^10))/.10]
Present value of the annuity = 600*[(1-(1/2.593742))/.10]
Present value of the annuity = 600*[(1-(.385543)/.10]
Present value of the annuity = 600*[(.614457)/.10]
Present value of the annuity = 600*[6.144567]
Present value of the annuity = 3686.74
You must deposit $3686.74 in the investment account today.
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