Personal Finance (MindTap Course List)
Personal Finance (MindTap Course List)
13th Edition
ISBN: 9781337099752
Author: E. Thomas Garman, Raymond Forgue
Publisher: Cengage Learning
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Chapter 2, Problem 4DTM
Summary Introduction

To calculate: the future value of the fund.

Introduction: Time value of money is the concept of finance which calculates the effect of time over the value of money. As per this concept the present value of a future amount is lower than the future value. The present value/ future value of an amount are calculated using the interest rate as discount rate.

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A) Ms. Diana wants to take off next three years of work to travel around the world. Sheestimates her average annual cash need is $20,000. If she needs more funds, she will arrangefrom alternative ways i.e. taking loans or doing some odd jobs etc.Ms. Diana believes that she can invest her savings at 10% until she depletes her funds.You are required to find out how much she should invest now to fund her future cashflow if she is able invests at 10% annually OR what amount she has to invest if she onlyearns 7% annually.The relevant factors from table you will need for this calculation are given below.a) Future value interest factor for a one-dollar annuity compounded from the table at 10% is3.3100 and at 7% is 3.2149 on period#3b) Present value interest factor for a one-dollar annuity discounted from the table at 10% is2.4869 and at 7% is 2.6243 on period#3B) What is the difference between Present value & Future value?___________________________________________
​(Solving for r with annuities​) Nicki​ Johnson, a sophomore mechanical engineering​ student, receives a call from an insurance​ agent, who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her an annual fixed income. The annuities are as follows    If Nicki could earn 11 percent on her money by placing it in a savings​ account, should she place it instead in any of the​ annuities? Which​ ones, if​ any? Why?     a. What rate of return could Nicki earn on her money if she place it in annuity A with ​$6500 payment per year and 16 years​ duration?
​(Solving for r with annuities​) Nicki​ Johnson, a sophomore mechanical engineering​ student, receives a call from an insurance​ agent, who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her an annual fixed income. The annuities are as follows in the popup​ window: LOADING... . If Nicki could earn 11 percent on her money by placing it in a savings​ account, should she place it instead in any of the​ annuities? Which​ ones, if​ any? Why?       a. What rate of return could Nicki earn on her money if she place it in annuity A with ​$7,000 payment per year and 10 years​ duration?   nothing​% ​(Round to two decimal​ places.)     Help Me Solve ThisView an Example Get More Help  Clear All   Check Answer Data Table ANNUITY INITIAL PAYMENT INTO ANNUITY ​(AT t​ = 0) AMOUNT OF MONEY RECEIVED PER YEAR DURATION OF ANNUITY ​(YEARS)   A ​$40,000…
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