Interest Compounding and Balance Calculations

The video tutorial explains how to calculate the future value of a $21,000 investment over 20 years using different interest methods: simple interest, and compounded interest annually, quarterly, and monthly. It provides step-by-step calculations for each scenario, demonstrating how the frequency of compounding affects the final investment value. The tutorial highlights the use of formulas and calculators to determine the account balance, emphasizing the increase in balance with more frequent compounding.

What is the initial investment amount mentioned in the problem?

• $21,000

• $20,000

• $25,000

• $15,000

How is the simple interest calculated for an investment?

• Initial amount minus the interest rate

• Initial amount times the interest rate times the time period

• Initial amount divided by the interest rate

• Initial amount plus the interest rate

What is the balance after 20 years with 8% simple interest?

• $103,462.86

• $102,384.22

• $97,880.10

• $54,600

How often is the interest compounded in part B of the problem?

• Quarterly

• Annually

• Daily

• Monthly

What is the balance after 20 years with 8% interest compounded annually?

• $102,384.22

• $97,880.10

• $54,600

• $103,462.86

How many times per year is the interest compounded in part C?

• 4 times

• 12 times

• 1 time

• 2 times

What is the balance after 20 years with 8% interest compounded quarterly?

• $103,462.86

• $54,600

• $97,880.10

• $102,384.22

In part D, how many times per year is the interest compounded?

• 12 times

• 6 times

• 4 times

• 1 time

What is the balance after 20 years with 8% interest compounded monthly?

• $54,600

• $97,880.10

• $102,384.22

• $103,462.86

What happens to the balance of the account as the number of compounds per year increases?

• The balance decreases

• The balance increases

• The balance remains the same

• The balance fluctuates