What is the amount you will have in the bank at the end of 18 years if interest of 6 % compounded monthly for first 5 years and interest of 10 % compounded quarterly for the remaining years?

The amount of money that you will have in the bank at the end of 18 years is dependent on the initial investment and the interest rate associated with it. Assuming an initial investment of $1000 with interest of 6% compounded monthly for first 5 years and 10% compounded quarterly for remaining 13 years, then your total balance after 18 years would be around $7,000.

To calculate this amount we must consider both compounding and time value of money. Compounding refers to reinvesting any earnings from accrued interest which can help maximize returns over time; in this case compound monthly for first five years and quarterly thereafter. Time value of money (TVM) represents how much a set amount today would be worth given a certain rate of return; this assumes that money has a greater value when received sooner rather than later as inflation reduces its purchasing power over time.

By applying these concepts together we can easily calculate potential earnings by factoring in different variables such as length of investment period or frequency/rate of compounding. In our example above, if we reinvested our initial deposit plus any earned interest payments made after each month/quarter period then by year 18 our new balance should reach around $7000 given these particular conditions.