How to determine how many times you compound in a year for compound interest

How to determine how many times you compound in a year for compound interest

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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The video tutorial explains the concept of compound interest, detailing the formula and its components such as principal, interest rate, and time. It covers various compounding frequencies like yearly, semi-annually, quarterly, monthly, biweekly, weekly, and daily, explaining how each affects the final amount. The tutorial also introduces continuous compounding, explaining how it differs from regular compounding and involves the mathematical constant E, leading to the PERT formula for continuously compounded interest.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable 'P' represent in the compound interest formula?

Interest rate

Initial investment

Number of years

Final value

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If interest is compounded quarterly, what is the value of N?

2

4

1

12

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times is interest compounded in a year if it is compounded monthly?

6

12

24

52

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant used in the formula for continuously compounded interest?

E

H

G

Pi

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used for continuously compounded interest?

A = P * (1 + R/N)^(N*T)

A = P * (1 + R*T)

A = P * E^(R*T)

A = P * (1 + R/N)