Question

Раз в полгода делается взнос в банк по схеме постнумерандо в размере 500 долл. Банк ежемесячно начисляет сложные проценты по ставке 8% годовых. Какая сумма будет на счете через 5 лет?

Answer 1

Calculation of the Final Amount

To calculate the final amount on the account after 5 years, we need to consider the monthly contributions and the compounded interest.

Given that a contribution of $500 is made every 6 months, we can calculate the total number of contributions over 5 years. Since there are 12 months in a year, there will be a total of 10 contributions made over the 5-year period (5 years * 12 months/year / 6 months/contribution = 10 contributions).

To calculate the final amount, we can use the formula for compound interest:

Final Amount = Principal * (1 + Interest Rate)^Number of Periods

In this case, the principal is the total amount of contributions made, which is $500 * 10 contributions = $5000. The interest rate is 8% per year, and since the contributions are made every 6 months, we need to adjust the interest rate accordingly. The number of periods is 10, as calculated earlier.

Plugging in the values into the formula, we get:

Final Amount = $5000 * (1 + 0.08/2)^10

Now, let's calculate the final amount.