Answered: 2. What is the future worth of a series…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Transcribed Image Text:Answer the following questions by including the appropriate cash flow diagrams, solution, and final answer. 1. YOU wereom.. doubles. alt unch you decide to sell your snares 2. What is the future worth of a series of equal yearly deposits of Php 100,000 for 8 years in a savings account that earns 6% annual compound interest if (a) all deposits are made at the end of each year? and (b) all deposits are made at the beginning of each year? 3. You are planning to save enough money to buy a brand new car five years from now. You are setting a budget of Php 1,000,000 for this purchase. Your plan is to accumulate the amount by making three savings deposits at an interest rate of 10%. Deposit 1: Deposit Php 100,000 today, Deposit 2: Deposit Php 150,000 two years from now, Deposit 3: Deposit an amount Php X three years from now. How much do you need to invest in year three to ensure that you have the necessary fund to buy the new car at the end of year five? 4. What equal-annual-payment series is required in order to repay each given present amount? (a) Php 1.5M in four years at 7% interest compounded quarterly, (b) Php 2.0M in five years at 8% interest compounded semi-annually, (c) Php 2.5M in six years at 5% interest compounded annually, and (d) Php 3.5M in 15 years at 7% interest. 5. A father decides to establish a savings account for his child's college education on the day his son is born. Any money put into the account will earn an interest rate of 10%. The father will make a series of annual deposits in equal amounts from the child's 1st birthday through the 18th birthday so the child can make four annual withdrawals from the account in the amount of Php 200,000 on each of his 18th, 19th, 20th, and 21st birthdays. Assuming that the first withdrawal will be made on the child's 18th birthday, calculate the required 18 equal annual deposits.

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