Many of us have a variety of life goals. One of them is to become millionaires. Is it easy and how can we achieve it, the millionaire calculator will help us the best. The calculator is based on calculating the period of time takes to save a million dollars based on our current savings as well as the monthly deposit rate.
It is necessary to follow the next steps:
- Enter the value of initial savings. This value must be positive;
- Enter the annual interested rate. This value must be in the range [0,100];
- Choose compound frequency;
- Enter the value of additional deposit. This value must be positive;
- Chose when the deposit are made: at end of each payment period or at beginning of each payment period;
- Press the ”Calculate” button to make the computation.
The millionaire calculator works according to the following principle: we need to enter the initial amount of money we start with, i.e. the initial investment. After that, we need to enter the annual interest rate. After that, we choose the option for which period we want to leave a deposit. We have daily, weekly, monthly, quarterly, or annual. After we have entered all the necessary data and pressed the calculation button, we will get information about how many months and years it will take us to achieve our goal and become a millionaire.
Total future value is given by the following formula
FVtotal = PV × (1 +
r
n
)n×t + P ×
(1 + r/n)n×t - 1
r/n
× (1 + z ×
r
n
)
where PV is the initial savings that we can deposit into our savings account,
r is the nominal interest rate that our savings earn we annually,
n is the number of periods that the interest rate is compounded per year, and
t is the duration in years the fund accumulates money, P is the uniform periodic deposits made daily, weekly, monthly, quarterly, or annually, and
z is an indicator of when the periodic deposits are made (
z = 0 for deposits done at the end of each payment period, and
z = 1 for deposits done at the beginning of each payment period).
Total time (in years) is given by the following formula
t =
log(
r × 1000000 + P × (n + z × r)
r × PV + P × (n + z × r)
)
n × log(1 + r/n)