GEN MATH Ma’am Parba’s Class Suppose I will give you ₱1,000.00 today, what would you do with it? DECISION MAKING You want to deposit your ₱ 1, 000 in savings account for 5 years. Bank A offers 6% simple interest rate per year while Bank B offers 6% compounded annually. Which will you choose and why? SIMPLE AND COMPOUND INTEREST Objectives 1. illustrates simple and compound interests. 2. distinguishes between simple and compound interests. ACTIVITY 1 Match the terminologies in column B to its definition or statement in column A. Write your answer on the blanks provided below the trivia question inside the box. Your answer should reveal an important Filipino value that everyone should possess. What Filipino value is shown when a person bows down towards another person older than him or takes his hand or her hand and presses it on the forehead? This is an important Filipino value that the younger generations should never forget and performed with the right hand and saying "Mano Po" to the elders. _____ _____ _____ _____ _____ _____ _____ 1 4 3 2 4 6 5 A B 1. It is the amount of time in years the money is S. Creditor borrowed or invested. 2. It is the date on which the total amount R. Time or borrowed with interest is to be completely repaid. Term R P 3. It refers to the person or institution that invests the money or makes the funds available. 4. It is the amount of money borrowed or invested on the origin date. 5. It is the amount after t years that the lender receives from the borrower on the maturity date. 6. It is the date on which money is received by the borrower. S E T C C. Origin/ Loan Date E. Principal P. Maturity date T. Maturity/ Future What Filipino value is shown when a person bows down towards another person older than him or takes his hand or her hand and presses it on the forehead? This is an important Filipino value that the younger generations should never forget and performed with the right hand and saying "Mano Po" to the elders. E _____ S _____ E _P _____ C _____ T _____ _____ R _____ 1 4 3 2 4 6 5 DECISION MAKING You want to deposit your ₱ 1, 000 in savings account for 5 years. Bank A offers 6% simple interest rate per year while Bank B offers 6% compounded annually. Which will you choose and why? Bank A TIME t PRINCIPAL YEARLY INTEREST BALANCE AT END YEAR ANSWER SOLUTION 1 ₱1000 ₱1000x0.06X1 ₱60 2 3 ₱1000 ₱1000x0.06X2 ₱120 ₱1000+1120=₱1120 ₱1000 ₱180 4 ₱1000x0.06 X3 ₱1000 ₱240 ₱1000+240=₱1240 5 ₱1000 ₱1000x0.06 X4 ₱1000x0.06 X5 ₱1000+60=₱1060 ₱1000+180=₱1180 ₱300 ₱1000+₱300=₱1300 TIME PRINCIPAL t 1 2 3 4 5 Bank B YEARLY INTEREST ANSWER SOLUTION ₱1000x0.06X ₱60 1 ₱1060x0.06X ₱63.60 ₱1060 1 ₱1123.60x0.06 ₱1123.60 X1 ₱67.42 ₱1000 ₱1191.02 ₱1191.02 x0.06X1 ₱1262.48 ₱1262.48 BALANCE AT END YEAR ₱1000+60=₱1060 ₱1060+63.60=₱1123.60 ₱1123.60+67.42= ₱1191.02 ₱1191.02+71.46= ₱71.46 ₱1262.48 ₱1262.48+75.75= ₱75.75 ₱1338.23 INTEREST GAINED BANK A (Simple Interest) ₱1,300-₱1000=₱300 BANK B (Compound interest) ₱1338.23-₱1000=₱338.23 ACTIVITY 2 Is it a FACT OR a BLUFF? Based on the given illustration, read and analyze each statement whether it is a fact or just a bluff., if the answer is BLUFF tell the word or phrase that will make the statement correct. 1. Simple interest changes throughout the investment term. BLUFF ACTIVITY 2 Is it a FACT OR a BLUFF? Based on the given illustration, read and analyze each statement whether it is a fact or just a bluff., if the answer is BLUFF tell the word or phrase that will make the statement correct. 2. Simple interest computation will always be based on the original principal. FACT ACTIVITY 2 Is it a FACT OR a BLUFF? Based on the given illustration, read and analyze each statement whether it is a fact or just a bluff., if the answer is BLUFF tell the word or phrase that will make the statement correct. 3. Interest is the amount of money invested or borrowed originally. BLUFF ACTIVITY 2 Is it a FACT OR a BLUFF? Based on the given illustration, read and analyze each statement whether it is a fact or just a bluff., if the answer is BLUFF tell the word or phrase that will make the statement correct. 4. Simple interest is the product of the principal, rate of interest, and time. FACT ACTIVITY 2 Is it a FACT OR a BLUFF? Based on the given illustration, read and analyze each statement whether it is a fact or just a bluff., if the answer is BLUFF tell the word or phrase that will make the statement correct. 5. In compound interest, principal increases as interest compounds and gets added to it. FACT ACTIVITY 2 Is it a FACT OR a BLUFF? Based on the given illustration, read and analyze each statement whether it is a fact or just a bluff., if the answer is BLUFF tell the word or phrase that will make the statement correct. 6. In simple interest, the interest from the previous year also earns interest. BLUFF Using the Venn Diagram below, give the similarities and differences between simple and compound interest Compound Interest The interest remains Your The interest grows constant throughout money every year. the year. grows Computed based on over time the principal and Computed based on accumulated past the principal. interests. Simple Interest Why do you think it is important to learn about simple and compound interest? Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. 1. What interest remains constant throughout the investment term? a. simple c. annuity due b. compound d. ordinary annuity 2. It is an interest computed based on the principal amount. a. simple c. annuity due b. Compound d. ordinary annuity 3. What is the difference between simple and compound interest? a. Simple yields higher interest than compound interest. b. Simple interest has a shorter term than compound interest. c. Simple interest is always better than compound interest. d. Simple interest is computed based on the principal while compound interest is computed based on the principal and also on the accumulated past interests. 4. Which of the following statement is true about the borrower or debtor? a. It is the amount of money borrowed or invested on the origin date. b. It is the interest computed on the principal and also on the accumulated past interests c. It refers to the person (or institution) who owes the money or avails of the fund from the lender. d. It refers to the person (or institution) who invests the money or makes the funds available. 5. It is an amount after t years that the lender receives from the borrower on the maturity date. a. loan date c. maturity value b. maturity date d. term 6. It is the amount of money borrowed or invested on the origin date. a. future value c. maturity value b. principal value d. repayment value 7. A person (or institution) who invests the money or makes the funds available. a. Lender c. Both a and b b. Creditor d. None of the choices. 8. It refers to an interest that is computed based on the principal and interest accumulated every conversion period. a. simple c. annuity due b. compound d. ordinary annuity 9. Someone who has the privilege of using a fund and promises to pay at some future date is called a. Lender c. Both a and b b. Creditor d. None of the choices. 10. The amount calculated on the principal and accumulated interest from previous periods on a deposit or loan is a. simple c. annuity due b. compound d. ordinary annuity ASSIGNMENT: Read and answer the problem by illustrating the simple and compound interest. Due to the COVID-19 pandemic Miss Cruz a female resident of Brgy. Marikit thinks of a business that can provide for her needs as well as the need of her neighbors so she can be of help even in this trying time. Having no money at hand, help her decide where to borrow from a bank that has a start-up capital of ₱50,000.00 at a 7% simple interest rate payable within 5 years or a bank that has a start-up capital of ₱50,000.00 at 7% interest rate compounded annually and payable within 5 years. Compute the interest yield. See you next meeting! THANK YOU!