Compound Interest Formula & Problems PDF

Document Details

Ms. Amelyn Alegado, LPT

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compound interest financial mathematics interest calculation investment

Summary

This document provides information about compound interest, including definitions, formulas, and problem-solving examples. It details how compound interest works and explains different compounding periods, such as annually, semi-annually, and quarterly.

Full Transcript

Compound interest Ms. Amelyn Alegado, LPT Compound interest the interest converted back to the principal periodically, increases the original amount borrowed or loaned throughout the term of investment until the transaction endss and the amount due , the Compound Amount, i...

Compound interest Ms. Amelyn Alegado, LPT Compound interest the interest converted back to the principal periodically, increases the original amount borrowed or loaned throughout the term of investment until the transaction endss and the amount due , the Compound Amount, is collected. Formula Compounding period Problem solving A man deposited ₱5,000.00 at 6% interest. Assuming he did not make any other deposit or withdrawal, how much would he earn after 3 years if he deposited under the following terms: a. Interest Compounded Semi-Annually Problem solving A man deposited ₱5,000.00 at 6% interest. Assuming he did not make any other deposit or withdrawal, how much would he earn after 3 years if he deposited under the following terms: b. Interest Compounded Quarterly Formula √𝐹 log ( 𝐹 ÷ 𝑃 ) 𝑡 𝑡= 𝑟 =𝑛( −1) ( ( 𝑛[ log 1+)𝑟 𝑛) ]⁡ 𝑝 P - Principal, the amount borrowed I -. Interest , payment for the use of money r - Rate of interest , interest rate for period t - Time or Term, (in year basis) number of units expressed in days, month or years for which the money is borrowed n – Compounding period Problem solving For how long has Php10,000 been invested in a fund for it to grow to an amount of Php10,511.62 if the fund pays interest at the rate of 5% compounded monthly. log ( 𝐹 ÷ 𝑃 ) 𝑡= ( 𝑛[ log 1+ ( 𝑟 𝑛 ) ) ]⁡ Problem solving At what rate compounded monthly must you invest your Php 250,000 for it to earn an interest of Php10,500 in 4 years and 9 months? Express your answer in percent. 𝑟 =𝑛( 𝐹 𝑝√ 𝑡 − 1) Problem solving Find the compound amount and the compound interest at the end of 3 yearsand 3months if ₱7,500.00 is invested at 3%, compounded monthly. Thank You

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