helle Smith is planning on taking her family to Disney World in three (3) years’ time. She plans on saving $20,000 each month for the next three (3) years. How much money will she accumulate at the end of that period if interest is 12% per annum?

Financial Accounting: The Impact on Decision Makers
10th Edition
ISBN:9781305654174
Author:Gary A. Porter, Curtis L. Norton
Publisher:Gary A. Porter, Curtis L. Norton
Chapter9: Current Liabilities, Contingencies, And The Time Value Of Money
Section: Chapter Questions
Problem 9.12AMCP
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Question 1

 

  1. Michelle Smith is planning on taking her family to Disney World in three (3) years’

time. She plans on saving $20,000 each month for the next three (3) years. How much

money will she accumulate at the end of that period if interest is 12% per annum?

 

  1. Angela is planning for her daughter’s university education in seven (7) years’ time. She estimated that the university education will cost $1,955,000. How much should she

invest each year for the next seven (7) years to achieve this goal if interest rate is 15%?

 

  1. Mr. James would like an income of $300,000 per year in equal instalments for fifteen

(15) years. How much should he invest in order to obtain this income if the interest rate

is 20% compounded annually?

 

  1. You expect to deposit the following cash flows at the end of years one (1) through to five (5), $1, 000, $4, 000, $9, 000, $5, 000 and $2, 000 respectively. What is the future value at the end of year six (6) if you can earn 10% compounded annually?

 

 

 

Question 2

  1. A $20,000 loan obtained today is to be repaid in equal instalments over the next six years, starting at the end of this year. If the annual interest rate is 10%, compounded annually, how much is the payment for each year?

 

  1. Patricia Graham is planning on going to the university. To finance her education, her

bank has agreed to lend her $125,000 on the first day of each year for the next three years beginning January 1, 2011. The annual interest rate of 10% is compounded yearly. Patricia plans to graduate on December 31, 2013. What will be the amount owing to the bank on that date?

 

  1. A credit card company has interest rate of 10% per annum. If interest is compounded

quarterly, Calculate:

 

  1. the periodic rate
  2. the EAR

 

  1. Suppose that you have $1,000,000 available for investment for a period of four years.

After investigating the local banks, you have compiled the following table for comparison.

 

Bank                                                 Interest Rate                        Compounding

Scotia Bank                                           10%                                       Annually

National Commercial Bank                     9%                                       Semi-annually

First Caribbean International Bank         6.8%                                    Quarterly

 

Using the Future Value concept (based on calculation), in which bank should you

deposit your funds to maximize return and why?

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