1. (5 points) A series of deposits of P20.000 will start at the ninth month and is expected to increase by 5% for the following seven months. Three months later, another series started with an initial deposit of P15,000 andt deposits will increase by P4,000 each month until the sixth month of the series. Five months later, a third series will start with deposits of P15,000 for seven months. How much is the total available balance if interest is 2% per month? 2, (5 points) A house can be bought by placing a 10% down payment of P100,000 and the remaining to be paid in monthly terms for 10 years. If the interest is 5% per month, determine the monthly amortization of the house, if the owner was given a grace period of three months before starting with the amortization. 3. (5 points) A series of five equal deposits of P5,000 will begin at the third year. Two years later, another series started with an initial deposit of P6,000 and each annual deposit is set to increase by 2% per year, until the seventh year of the series. Further, a last set of deposits of P10,000 were made for five years. Determine the available funds, two years from the last deposit if money earns 10% per year. 4. (5 points) An equipment has a purchase value of P500,000 and has a projected useful life of 10 years, in which the salvage value is P25.000. Determine the present value of the depreciation if the interest rate is 4% per year, and depreciation follows a straight line. 5. (5 points) A company projects expenses of P10,000, P20,000, and P50,000 on years 4, 9, and 13. Given an interest of 3% per year, determine what annual savings must be made to offset these expenses. 6" (5 points) A loan of P300,000 is promised to be paid in equal monthly payments for 2 years, for an interest of 5% per month. After the fifth payment however, the borrower was able to double the payments. At what month will the loan be fully paid? 7. (5 points) The rights to mine gold in India was bought for $15,000,000. During the first seven years of operations, the company was able to get an annual gross income of $5,000,000, and from the years after, the gross income is projected at $2,500,000. Given that money earns 3% per year, determine at what year will the mine be fully depleted, if gold depletes at 15% per year 8. (5 points) Two friends were to save for their retirement fund. Jenna saves on irregular terms, whenever she has excess money. She made deposits of P10,000 on the first year, P30,000 on the fourth year, P50,000 on the sixth year, and P75,000 on the tenth year. Sherry on the other hand wants to be disciplined with her deposits, and wants to have equal annual deposits. If Sherry will only make her annual deposits for 6 years, how much should it be that will match Jenna's worth at the 20th year, if the interest is 10% per year? 9. (5 points) An insurance policy will grant your beneficiaries a lifetime endowment of P10,000 per month. How much is the insurance cost now if interest is 12% compounding quarterly? 10 5 points A trust fund is known to be having a nominal rate of 10% compounding continuously. If a series of P25 000 deposits were made for ten years, and were withdrawn after 20 years, how much is the funds worth then