Question

An account credits interest at an effective rate of 4% for years 1-3, 5% for years 4-6, and 6% for years 7-9. Deposits of $1,000 are made into the account at the end of each year for 9 years. Calculate the accumulated value of the deposits at the end of 9 years.

Answer 1

Answer:

The accumulated value of the deposits at the end of 9 years is $11,242.18

Explanation:

Note: Find attached the excel file for the calculation.

Since the deposits are made into the account at the end of each year, interest will be earned on the opening balance for each year since it remains the account for 12 months.

No interest will be earned on the deposit of $1,000 made at the end of each year.

The opening balance, interest earned and the deposit for each year are then added together to obtain the closing balance for each year.

Since the closing balance for year 9 is $11,242.18, this is therefore the accumulated value of the deposits at the end of 9 years.