Answer the number 6, 7, 8, 9, 10, and performance task with a complete solution.

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Compounding... . . . . conversion or interest period - time between successive conversions of interest . frequency of conversion (m) - number of conversion periods in one year . nominal rate (i(m)) - annual rate of interest . rate (j) of interest for each conversion period i(m) annual rate of interest j= - m frequency of conversion . total number of conversion periods n n = tm = (frequency of conversion) x (time in years) i(m) = Nominal Rate m = Frequency j = Interest Rate per One conver- (Annual Interest Rate) of Conversions conversion period sion period 2% compounded annually; 1 0.02 1 = 0.02 = 2% 1 year V i(1) = 0.02 2% compounded semi-annually 12 0.02 i(2) = 0.02 = 0.01 = 1% 6 months 2 2% compounded quarterly; 0.02 4 4 = 0.005 = 0.5% 3 months {(3) = 0.02 2% compounded monthly; 0.02 12 i(12) = 0.02 12 = 0.0016 = 0.16% 1 month 2% compounded daily; 0.02 365 i(365) = 0.02 1 day 365 1. Find the compound interest earned and the compound amount due at the end of 5 years if P10,000.00 is invested at 12% compounded quarterly. D: 10,080= F - P r: 1210 = 0.12 Compounding period: quarterly J= 18, 061.11- 10,020 timeis 1 = 8, 041.17 F = P ( Hr) t : 10,080 (1+ 0.12 )5(4)~ Therefore the canpond amount after 3 years will be $ 18, 041.11 and the = 18, 061 . 11 interest is $ 8, 041-11 2 . Accumulate P36 000 00 for 10 years at 7% Compounding... / E 6. Antonio is planning to invest in a high risk mutual fund ofa bank which gives him 25% interest compounded semi annually for 8 1/2 years. He targets to earns a total future value of P2,250.000.How much should he invest in the mutual fund now? 7. An investor is considering two ways of investing P20,000 for a period of 10 years: 0 option A offers 1.5 per cent compounded every 3 months; 0 option B offers 3.2 per cent compounded every 6 months. - Which is the better option? 8. Maricel borrowed P200,000.00 from a bank that charges 11.5% compounded monthly. The loan and the accumulated interest will be paid in 3 years. However, Maricel paid 70% of the total loan including the interest after 12 months, how much more is her balance in the bank if she will pay the remaining in one lump sum at end of 3 years? Compounding... / E 9. If Pedro invested P5,000.00 for one year, part at 12% annual interest and the balance at 10% annual interest. His total interest for the year was P568.00. How much money did he invest at each rate? 10. To provide for a purchase of a car worth PIM 5 years from now, how much should be invested at 8% compounded quarterly? Performance Task- Due Date isJune 18. 2021 Suppose you wanted to save money for a down payment in your dream house and your target is to save P2 million so that you will be not be burdened by a large monthly mortgage after you purchased your dream house . Because you are a risk- averse investor, you are not considering investing in stocks and just choose one from the two scenarios below. Scenario 1: You decided to make a monthly deposits at the end of every month of P6,000.00 into a savings account that earns 3.5% per month. ._______ Scenario 2: You figure out that your monthly salary will at least increase by P500.00 after your yearly performance evaluation at work. So you decided to start off by making monthly deposits of P5.000,(atthe nd of every month) into the savings account that earns 3.5% interesMearly, you will increase the monthly deposit by P500.00 until you reach the P2 million targeted amount. Assuming that no withdrawals were made, make a computation for the two scenarios and explain to the class which scenarios will give you the best investment