Use the TVM Solver to calculate the amount you should make in monthly payments into an investment account if you want to have $1,000,000 in 60 years. The account pays 3.9% interest compunded monthly and you will make an intial investment of $25,000
To use the TVM Solver to calculate the monthly payments required to accumulate $1,000,000 in 60 years with a 3.9% interest rate compounded monthly and an initial investment of $25,000, follow these steps:
Step 1: Identify the variables:
- Present Value (PV): -$25,000 (negative because it represents an initial investment)
- Future Value (FV): $1,000,000
- Interest Rate (I/Y): 3.9% per year
- Time Period (N): 60 years
- Payments (PMT): ? (what we are trying to find)
Step 2: Access the TVM Solver:
- If you have a financial calculator, locate the "TVM" or "Time Value of Money" function and open it.
- If you are using a spreadsheet software (e.g., Microsoft Excel or Google Sheets), you can use the "PMT" function.
Step 3: Enter the known values:
- Enter -$25,000 as the initial investment (PV).
- Enter $1,000,000 as the future value (FV).
- Enter 3.9% divided by 12 (0.325%) as the interest rate per period (I/Y). Since the account is compounded monthly, divide the annual interest rate by 12 to get the monthly interest rate.
- Enter 60 as the number of periods (N).
Step 4: Calculate the monthly payments:
- For financial calculators: Press the "Compute" or "Solve" button, and the calculator will determine the monthly payments required to reach $1,000,000 in 60 years.
- For spreadsheet software:
- Use the PMT function, which has the syntax: PMT(rate, nper, pv, [fv], [type]).
- Enter the following formula: "=PMT(0.00325,60,-25000,1000000)" into a cell. This will calculate the monthly payment.
Step 5: Interpret the result:
- The result will be the amount you need to contribute monthly to accumulate $1,000,000 in 60 years. The value will be negative because it represents an outgoing payment.
Remember, these calculations are based on the assumptions you've provided (interest rate, compounding frequency, etc.).