Respuesta :

Answer:

To calculate the amount you would need to invest today to have $100,000 in 30 years with a 2.5% monthly compounded interest rate, we can use the formula for the future value of an investment:

FV = PV * (1 + r)^n

Where:

FV = Future value (desired amount)

PV = Present value (initial investment)

r = Interest rate per period (monthly interest rate)

n = Number of periods (number of months in this case)

In this case, we need to find the present value (PV), so we rearrange the formula:

PV = FV / (1 + r)^n

Let's plug in the values:

FV = $100,000

r = 2.5% / 100 = 0.025 (monthly interest rate)

n = 30 years * 12 months/year = 360 (number of months)

PV = $100,000 / (1 + 0.025)^360

Using a calculator or spreadsheet, we can solve this equation:

PV ≈ $30,321.62

Therefore, you would need to invest approximately $30,321.62 today to have $100,000 in 30 years with a 2.5% monthly compounded interest rate.

Step-by-step explanation:

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