Simple And Compound Interest

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Questions and Answers

What is the key difference between simple and compound interest?

  • Simple interest is calculated only on the principal, while compound interest is calculated on the principal plus accumulated interest. (correct)
  • Simple interest always yields a higher return than compound interest over time.
  • Simple interest is calculated on the principal plus accumulated interest, while compound interest is calculated only on the principal.
  • Simple interest results in an increasing interest amount each period, while compound interest results in a fixed interest amount each period.

If you deposit $3,000 into a savings account with a simple interest rate of 4% per year, what would be the total amount after 3 years?

  • $3,360 (correct)
  • $3,120
  • $3,240
  • $3,480

Which of the following scenarios would result in the highest return after 5 years, assuming all other factors are equal?

  • Investing in an account with a compound interest rate of 6% per year, compounded quarterly. (correct)
  • Investing in an account with a simple interest rate of 7% per year.
  • Investing in an account with a compound interest rate of 6% per year, compounded semi-annually.
  • Investing in an account with a compound interest rate of 6% per year, compounded annually.

You borrow $8,000 at a simple interest rate of 5% per year. If you need to pay back a total of $9,200, for how many years did you borrow the money?

<p>3 years (D)</p> Signup and view all the answers

If you invest $5,000 in an account that pays 3% interest compounded monthly, what will be the approximate balance after 8 years?

<p>$6,356.16 (C)</p> Signup and view all the answers

When might simple interest be preferable over compound interest?

<p>When taking out a very short-term loan and desiring predictable interest payments. (C)</p> Signup and view all the answers

What effect does increasing the compounding frequency have on an investment?

<p>It increases the final amount, because interest is calculated more often and added to the principal. (A)</p> Signup and view all the answers

Suppose you have two options: Option A offers simple interest at 8% per year, and Option B offers compound interest at 7.5% per year, compounded annually. For what investment period would Option A yield a higher return?

<p>For a very short investment period, Option A can yield a higher return. (D)</p> Signup and view all the answers

You want to take out a loan of $10,000. Bank A offers a simple interest rate of 6%, while Bank B offers a compound interest rate of 5.5% compounded annually. If you plan to pay back the loan after 2 years, which bank offers the better deal?

<p>Bank A, because the total repayment is $11,200, whereas Bank B requires a repayment of $11,130.25 (B)</p> Signup and view all the answers

What is the main advantage of compound interest over simple interest, especially when considering long-term investments?

<p>Higher returns due to earning interest on accrued interest. (D)</p> Signup and view all the answers

Flashcards

Simple Interest

Interest calculated only on the principal amount of a loan or deposit.

Compound Interest

Interest calculated on the principal plus accumulated interest.

Principal

The initial amount of money borrowed or invested.

Interest Rate

The percentage rate used to calculate interest.

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Time (in years)

The period over which interest is calculated.

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Compounding Frequency

The number of times interest is calculated per year.

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Compounding Effect

Method where interest is earned on both the principal and accumulated interest.

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Simple Interest Loans

Loans with predictable interest payments, calculated only on the principal.

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Compound Interest Investments

Beneficial for long-term growth due to interest on principal and accumulated interest.

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Simple interest

A fixed rate that is calculated only on the principal balance.

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Study Notes

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