Anthony is deciding between different savings accounts at his bank. He has four options, based on how frequently interest compounds. Which should he choose if he wants the best rate of return on his interest?
A. Annual Compounding
B. Semi- Annual Compounding
C. Monthly Compounding
D. Daily Compounding

Respuesta :

The formula for calculating the compound interest:
I = ( P * ( 1 + i )^n ) - P
where n is the number of compounding periods.
The number of compounding periods make a significant difference in interest.
The higher is the number of periods, the greater is the amount of compound interest.
Answer: D. Daily Compounding. 

Anthony should choose daily compounding if he wants the best rate of return on his interest. This implies the correct answer is D.

Daily compounding also means daily compounding of interest. In other words, it implies an interest is added to a deposit on a daily basis.

Further Explanation

The concept behind daily compounding of interest is that Anthony would not only earn interest on his original deposit but he will also earn interest on the previous interest payment

For example, let assume that Anthony begins with $300 and earns 2% interest of his original sum. What it means is that Anthony will end up having $302. His next earnings would be 2% of 302, which will give a total of $305.02 and so on depending on the length of terms (in days)

However, the daily compound interest can be calculated using the formula below:

A= (P (1+r/n) ^ (nt)) – P

Where:

  • A is the daily compound rate
  • P is the principal amount
  • R is the rate of interest
  • N is the time period

However, the higher the length of terms (in days), the higher the amount of the compound interest

Therefore, daily compounding will be a powerful tool for Anthony to achieve his financial goals because

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