# Calculate Maturity Value for a Simple Interest Account

by Hanis
(Malaysia)

##### Question
Razifah deposited \$2000 in an account at rate of 3.75% simple interest. 8 months later, she deposited another \$3000 into account. Find the total amount in the account three years after the first deposit.

After understanding the question, it is better to split the solution into two parts before we can get the answer. These parts are:

1) Find the total amount after 8 months
2) Find the total amount for the rest of the period

Since we are finding the total amount, we can use the maturity value formula shown below: 1) Find the total amount after 8 months.

It is important to know that the interest 3.75% is on per year basis (or per annum) unless stated otherwise. Therefore, it is important to convert 8 months to years. Since 1 year consists of 12 months, we divide 8 months with 12. Here's how: Next, we need to convert 3.75% to a decimal by dividing it with 100. Here's how: Alright, we are all set to calculate the total amount in the account after 8/12 year. These are the information that we have:
1. Principal, P = \$2000
2. Interest rate, r = 0.0375
3. Duration/Period, t = 8/12
Substituting these values into the maturity value formula: Hence, after 8 months, the total amount in the account is \$2050. Let's go to the second part:

2) Find the total amount for the remaining period

Now, after covering the first 8 months. Let's find the maturity value for the rest of the remaining period. Since, 3 years has 36 months (3 x 12), the: Next, we have to convert 28 months to year by dividing it with 12: Razifah deposit another \$3000 into her account. Therefore, the amount of money in her account after 8 months will be: Hence, we have the following information:
1. Principal, P = \$5050
2. Interest rate, r = 0.0375
3. Duration/Period, t = 28/12
We can calculate for the maturity value after 3 years using the above information. This is shown below: Therefore, the total amount in the account three years after the first deposit is \$5491.88.

### Comments for Calculate Maturity Value for a Simple Interest Account

Average Rating    Sep 09, 2018 Rating   Wrong Interpretation NEW by: Anonymous It was not mentioned that the first deposit will be removed or will not be counted after 8 months. The principal amount after 8 months must be \$5000 already.

 Aug 05, 2014 Rating  WRONG CALCULATION by: Anonymous The correct answer is : RM5487.50. First part is the calculation of S on P= 2000 at 3.75% for 3 years which is the answer is RM2225. second part is the calculation of S on p=3000 at 3.75% for 28/12 years which is the answer is RM3262.50. This is because the definition of simple interest is : the calculation of interest should always based on the original principal. tq

 Dec 23, 2011 Rating     good by: aravind i pay the post office rd monthly 500 . after 3 years how much interest ,net total amount, interest percentage how? i need .please mail me calculate amount ? mail id: fivestarschool@gmail.com

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