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Daily Compound Interest (Formula) | Step by Step Calculation with Examples [Video]

Daily Compound Interest (Formula) | Step by Step Calculation with Examples

In this video on Daily Compound Interest, here we discuss how to calculate daily compound interest along with its formula and practical examples.

๐–๐ก๐š๐ญ ๐ข๐ฌ ๐ƒ๐š๐ข๐ฅ๐ฒ ๐‚๐จ๐ฆ๐ฉ๐จ๐ฎ๐ง๐ ๐ˆ๐ง๐ญ๐ž๐ซ๐ž๐ฌ๐ญ?
โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”-
Daily compounded interest means interest is accumulated on a daily basis and is calculated by charging interest on the principal plus interest earned on a daily basis and hence is higher than interest compounded on a monthly / quarterly basis due to high compounding frequency.

๐ƒ๐š๐ข๐ฅ๐ฒ ๐‚๐จ๐ฆ๐ฉ๐จ๐ฎ๐ง๐ ๐ˆ๐ง๐ญ๐ž๐ซ๐ž๐ฌ๐ญ ๐…๐จ๐ซ๐ฆ๐ฎ๐ฅ๐š
โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€“

A=(P (1+r/n)^(nt)) โ€“ P

๐ƒ๐š๐ข๐ฅ๐ฒ ๐‚๐จ๐ฆ๐ฉ๐จ๐ฎ๐ง๐ ๐ˆ๐ง๐ญ๐ž๐ซ๐ž๐ฌ๐ญ ๐„๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž
โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€”โ€“

The bank borrows a total of $5000 where the interest rate is 7% and the balance is borrowed for a term of 3 years. Letโ€™s figure out how much the bank will measure the compounded interest on the loan provided.

From above given data we get,

Principle = $5000, Annual Interest = 7%, N = 365, Time(years) = 3

By using above formula we get,

=($5000*(1+7/365)^(365*3))-$5000
= 1168.27

To know more about the ๐ƒ๐š๐ข๐ฅ๐ฒ ๐‚๐จ๐ฆ๐ฉ๐จ๐ฎ๐ง๐ ๐ˆ๐ง๐ญ๐ž๐ซ๐ž๐ฌ๐ญ, you can go to this ๐ฅ๐ข๐ง๐ค ๐ก๐ž๐ซ๐ž:- https://www.wallstreetmojo.com/daily-compound-interest/

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