AP/ADMS3530 3.0 Assignment #1 Solution Winter 2010 Instructions: (1) This assignment is to be done individually. You must sign and submit the standard cover page supplied as the last page of this assignment. Before you start, please read the note “Writing Style Required for ADMS3530 Assignments” posted on the course web site. Please stick to the writing guidelines suggested in the note. This assignment is due in the class of the week of February 8, 2010. For Internet section students, the assignment must be uploaded to the Centre for Distance Education: http://www.atkinson.yorku.ca/cde/assignmentupload and identified precisely in accordance with the course outline by Tuesday, February 9, 2010, midnight. This assignment must be handwritten. …show more content…
After retirement, she wants to live a life style that will cost about $35,000 per year, payable at the beginning of each year. Her planning horizon is 30 years (i.e. she does not expect to live longer than age 95). Assume the rate of interest is 5%, all investments are made at the end of the year, and all expenses are payable at the beginning of the year. (a) How much money will she have when she retires at 65? (4 marks) (b) How much money does she need at age 65 to support her post-retirement years? (4 marks) (c) If her post-retirement expenses start as stated above at $35,000 per year but increase at the expected rate of inflation of 2% per year, how much money does she need at age 65 to support her retirement? (5 marks) (d) To reach the amount found in part (c) she is planning to invest $X this year, and increases this amount every year at the rate of 3% per year, what is this amount X? (5 marks) Answer (a) She will have FV = PMT x FVAF(5%, 40 years) = $603,998.87 (b) She will need PV of Annuity Due: PV = PMT x PVAF(5%, 30 years) x (1.05) = $564,937.58 (c) She will need PV of Growth Annuity Due: PV = [(35,000)(1.05)/(5% - 2%)] x [1 - (1.02/1.05)30] = $711,592.43 (d) She needs to have the amount calculated in (c), i.e. $711,592.43: [(X)/(.05-.03)] x [(1.05)40 - (1.03)40] = 711,592.43 X = $3,767.08
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ADMS3530 3.0 Fall 2009 Question 3 – Home Mortgage (22 marks)
Assignment #1
One contributing factor to the recent real estate and credit crisis
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Due Date & Time: Must be Uploaded by Wednesday, March 4, 2015 by 23:59 hrs.
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NOTE: We will be using the fifth edition of this book, which was published in 2014. The editors have
1. If Mrs. Beach wanted to invest a lump sum of money today to have $100,000 when she retired at 65 (she is 40 years old today) how much of a deposit would she have to make if the interest rate on the C.D. was 5%?
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In question four, Janet was asked to solve a question that deals with annuity payments, specifically, ordinary annuities. It starts by asking of how much you will make if you add $2,000 every year and it is compounded by 10% interest every year. These, for the most part, are future value problems. The first one comes out to be a future value of $12,210.20, which does not satisfy the need for $20,000. The next part asks what the value would be if the interest was compounded semiannually. You have to do an equation in order to find out what the effective annual interest rate. Through this equation you come out with a value of 10.25% and after the calculator calculations you come out with a future value of $12,271.11, also not meeting the demand for that first year of college. The next part asks what payment will you need in order to get to that $20,000 number and the present value comes to be $3,275.95. Next, the case asks what original payment you would need in order
Post these responses directly in your private student journal. Your assignment is due Wednesday, April 10th. Then a forum will open for each of these assignment questions. Please write two-to-three paragraphs per question.
(Compound annuity) what is the accumulated sum of each of the following streams of payme
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My signature indicates that this document represents my own work. Excluding shared data, the information, thoughts and ideas are my own, except as indicated in the references. I have submitted an electronic copy through Balckboard to be scanned by TurnItIn.com. In addition, I have not given aid to another student on this assignment.
We would take this opportunity to first of all, express our words of gratitude to Mr Armooghum, who has been present for our queries. He has helped us a lot in solving confusions. The lectures have been helpful for the assignment, which have been one of the motivating factors.