Solve for each problems. Show your solution legible and neatly. Write the question, the given(also what is the given?), what to find and a cash flow diagram. Answers should be in 2 decimal places, unless stated otherwise. Percentage or rate answer should be in percentage with 2 decimal places. 1. Determine the present worth and the accumulated amount of an annuity consisting of 6 payments of P120,000 each. The payment are made at the beginning of each year and money is worth 15% compounded annually. 2. A man purchased on monthly installment a P100,000 worth of land. The interest rate is 12% nominal and payable in 20 years. What is the monthly amortization? 3. You need P4,000 per year for four years to go to college. Your father invested P5,000 in 7% for your education when you were born. If you withdraw P4,000 at the end of your 17th, 18th, 19th and 20th birthday, how much will be left in the account at the end of the 21st year? 4. A debt of P10,000 with 10% interest compounded semi-annually is to be amortized by semi-annual payment over the next 5 years. The first due in 6 months. Determine the semi-annual payment. 5. A man loans P187,400 from a bank with 5% compounded annually. He agrees to pay his obligations by paying 8 equal annual payments, the first being due at the end of 10 years. Find the annual payments. 6. A housewife bought a brand new washing machine costing P12,000 if paid in cash. However, she can purchase it on installment basis to be paid within 5 years. If money is worth 8% compounded annually, what is her yearly amortization if all payments are to be made at the beginning of each year? 7. Find the present value in pesos, of a perpetuity of P15,000 payable semi-annually if the money is worth 8% compounded quarterly. 8. A man paid 10% down payment of P200,000 for a house and a lot and agreed to pay the balance on monthly installment for "x" years at an interest rate of 15% compounded monthly. If the monthly installment was P42,821.87. Find the value of x? 9. An investment of P350,000 is made to be followed by payments of P200,000 each year for 3 years. What is the annual rate of return on investment for the project? 10. A parent on the day the child is born wishes to determine what lump sum would have to be paid into an account bearing interest at 5% compounded annually, in order to withdraw P20,000 each on the child's 18th, 19th, 20th and 21st birthdays. How much is the lump sum amount