Final answer:
To have $77,000 in 12 years with a 0.44% monthly interest rate, you would need to deposit approximately $41,777.09 today. This is calculated using the present value formula for compound interest.
Step-by-step explanation:
To determine how much needs to be deposited today to have $77,000 in 12 years with a monthly interest rate of 0.44%, the present value formula for compound interest needs to be used.
The formula for the present value compounded monthly is:
PV = FV / (1 + r)n
Where:
PV = Present Value
FV = Future Value ($77,000)
r = monthly interest rate (0.44% or 0.0044)
n = total number of months (12 years x 12 months/year = 144 months)
Plugging the values into the formula:
PV = $77,000 / (1 + 0.0044)144
Now we calculate the present value:
PV = $77,000 / (1.0044)144
PV = $77,000 / (1.843417)
PV = $41,777.09 approximately
Therefore, you would need to deposit approximately $41,777.09 today to have $77,000 in 12 years at a monthly interest rate of 0.44%.