HPC Compound Interest Review

Front

What is compound interest?

Back

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Front

How is continuous compounding different from regular compounding?

Back

Continuous compounding calculates interest at every possible moment, leading to a higher amount of interest earned compared to regular compounding, which calculates interest at set intervals.

Front

What formula is used to calculate continuously compounded interest?

Back

The formula is A = Pe^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), and t is the time in years.

Front

Convert 8 months into years for interest calculations.

Back

8 months is equal to 8/12 = 2/3 years.

Front

If $400 is invested at 35% for 8 months compounded continuously, what is the future value?

Back

The future value is approximately $505.12.

Front

How do you find the present value needed to achieve a future amount with continuous compounding?

Back

Use the formula P = A / e^(rt), where A is the future amount, r is the annual interest rate (decimal), and t is the time in years.

Front

What is the present value needed to have $25,500 at 2.8% interest compounded continuously after 8 years?

Back

The present value needed is approximately $20,383.

Front

What is the future value of an investment of $1,000 at 16% interest compounded continuously for 5 years?

Back

The future value is $2,225.54.

Front

What is the formula for calculating future value with quarterly compounding?

Back

The formula is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years.

Front

If Kennedy invests $3,000 at 2.9% compounded quarterly for 10 years, what will be the total amount?

Back

The total amount will be approximately $4,005.09.