What is the difference between simple interest and compound interest for a period of 2 years?

Difference Between Simple Interest and Compound Interest

Simple interest refers to the interest which is calculated on the principal amount that is borrowed or invested by the person. In contrast, compound interest is the interest calculated on the principal amount borrowed or invested by the person along with the previous period’s accumulated interests.
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Difference Between Simple Interest and Compound Interest
What is Simple Interest?
What is Compound Interest?
Simple Interest vs Compound Interest Infographics
Examples of Simple Interest vs Compound Interest
Key Differences
Simple vs Compound Interest Comparative Table
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What is the difference between simple interest and compound interest for a period of 2 years at a rate of 10% per annum on a sum of $60000?
What is difference between simple interest and compound interest for a period of 2 years?
What is the simple interest for 2 years?
What is the compound interest for 2 years?

Interest is the fees paid by the borrower to the lender for borrowing money. For example, banks charge interest on the loans taken by the customers. People deposit money in the banks to earn interest on the amount deposited. Higher interest rates are the opportunity for investors to earn higher rates of return.

There are two ways to calculate the interest on the principle: Compound and Simple interestSimple interest (SI) refers to the percentage of interest charged or yielded on the principal sum for a specific period.read more.

What is Simple Interest?

Simple interest, as the name suggests, is simple in the calculation and understanding. It is the amount that the lender charges the borrower on only the principal loan.

The formula to Calculate Simple InterestSimple Interest (SI) is a way of calculating the amount of interest that is to be paid on the principal and is calculated by multiplying the principal amount with the rate of interest and the number of periods for which the interest has to be paid.read more is:

Where SI is Simple Interest

P is Principal
R is the rate
And T is the time for which the loan is given.

The amount owed at the end of the period is given by

A = SI + P or A = PRT/100 + P

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For eg:
Source: Simple Interest vs Compound Interest (wallstreetmojo.com)

What is Compound Interest?

Compound interest is earned on the principal amount and the accrued interest. Compound interest depends on the frequency of compounding, i.e., the interest can be compounded daily, monthly, quarterly, half-yearly or annual, etc.

The formula to calculate the amount earned when the principal is compounded is given as:

Where A is the Amount,

P is the principal,
R is the rate of interest.
T is the time for which the principal is owed

Thus, the Compound Interest is calculated = A – P = P (1 + r/100)T – P

It can be equal to or more than the simple interest depending on the time and frequency of compounding.

Simple Interest vs Compound Interest Infographics

Let’s see the top differences between simple vs. compound interest.

Examples of Simple Interest vs Compound Interest

Example #1

Consider a person XYZ who keeps $ 1000 in a bank for one year at a 5% interest rate. Calculate the Simple and compound interest (compounded annually).

Simple Interest = P * R * T/100

SI = 1000 * 5 * 1/100
SI = $ 50

Compound Interest = P (1 + r/100)T – P

CI = 1000 (1 + 5/100)1 – 1000
CI = $ 50

The interest is equal since the interest is compounded annually, and the deposit duration is 1.

Example #2

Let’s consider the same example and change the duration to 2 years.

Simple Interest = P * R * T/100

SI = 1000 * 5 * 2/100
SI = $ 100

Compound Interest = P (1 + r/100)T – P

CI = 1000 (1 + 5/100)2 – 1000
CI = 1102.5 – 1000 = $ 102.5

Thus, with the change in the deposit duration, the interest earned has increased by $ 2.5. This, $ 2.5, is the interest earned on the interest accumulated in the first year of the deposit.

Key Differences

Key Differences are as follows –

Simple interest is interest only on the principal, whereas compound interestCompound interest is the interest charged on the sum of the principal amount and the total interest amassed on it so far. It plays a crucial role in generating higher rewards from an investment.read more is the interest earned on the principal and the subsequent interest accumulated over the period.
The principal amount remains the same in simple interest, whereas the principal amount changes as the interest accumulates over time.
Simple interest does not depend on the frequency of the interest calculation, whereas compound interest depends on the frequency; the compound interest is higher when the frequency increases.
Compound interest is always higher than or equal (only if compounded annually and for a term of 1 year) to the simple interest.
Simple interest has lesser returns to the investor than compound interest.
Wealth creation is more when the principal is compounded than when simple interest is used.
The final amount after the period ends in a simple interest is given by P (1 + RT/100), whereas the final amount in Compound interest is P (1 + r/100)T
The interest earned when it is simple interest is calculated as P * R * T/100, whereas when the interest is compound, the interest earned is P ((1 + r/100)T – 1).

Simple vs Compound Interest Comparative Table

Basis	Simple Interest	Compound Interest
Definition	Simple Interest is earned only on the principal amount.	It is on the principal as well as the interest accrued over time.
Amount of interest earned.	The amount of interest earned is small and leads to lesser wealth growth.	The amount of interest earned is higher, and wealth growth increases as the interest are earned on the accumulated interest in the previous periods.
Returns on principal	Fewer returns as compared to compound interest	Higher returns than the simple interest due to compounding
Principal	The principle remains the same during the tenure.	Principal increases as interest are compounded and are added to the original principal.
Calculation	It is easy to calculate	It is a bit complex in calculation than simple interest.
Frequency of Interest Rate	Does not depend on the frequency of interest accumulation	It depends on the frequency of interest calculation, and the amount increases if the frequency increases.
Formula	P * R * T/100	P (1 + r/100)T – P
Amount Earned After Duration	P * R * T/100 + P	P (1 + r/100)T

What is the difference between simple interest and compound interest for a period of 2 years at a rate of 10% per annum on a sum of $60000?

Solution : Principal `(P)=Rs. 50000` Rate `(R)=10%` p.a Time`(n)=2`years Amount `(A)=P(1+R/100)^n` `=Rs. 50000(1+10/100)^2` `=Rs.

What is difference between simple interest and compound interest for a period of 2 years?

The major difference between simple interest and compound interest is that simple interest is based on principal amount whereas compound interest is based on the principal amount and the interest compounded for a cycle of the period.

What is the simple interest for 2 years?

Simple Interest Example:.

What is the compound interest for 2 years?

For 2 years, T = 24. If interest is compounded half yearly, rate of interest = R / 2 and A = P [ 1 + ( {R / 2} / 100 ) ]^T, where 'T' is the time period. For example, if we have to calculate the interest for 1 year, then T = 2. For 2 years, T = 4.