You need to have $34,500 in 14 in years. You can earn an annual interest rate of 5 percent for the first 4 years, 5.6 percent for the next 3 years, and 6.3 percent for the final 7 years. How much do you have to deposit today

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Answer:

Calculate the present value of the deposit is as follows:

Future value = Present value x (1+ Rate) Number of Years

[tex]34,500 = Present value * (1 + 0.05)^{4} * (1 + 0.056)^{3} * (1 + 0.063)^{7}[/tex]  

[tex]34,500 = Present value * (1.05)^{4} * (1.056)^{3} * (1.063)^{7}[/tex]

Present Value = $34,500/2.1952390

Present Value = $15,715.83

Therefore, the present value of the deposit is $15,715.83

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