ECOR 3800 - Assignment 1

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Carleton University *

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Course

3800

Subject

Civil Engineering

Date

Apr 3, 2024

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pdf

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3

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ECOR3800/Winter 2023 Assignment #1 Page 1/3 Carleton University Department of Civil and Environmental Engineering ECOR 3800 A: Engineering Economics Assignment #1 Due on: January 26 th , 2023 INSTRUCTIONS: 1. Clearly put a square around your final answers. 2. Unless otherwise stated, answer all questions by hand (not typed) and submit. 3. To submit, scan your assignment and upload it as a pdf to the Brightspace submission form. 4. Show all of your work. No marks will be given without intermediate steps. 5. Make sure your work is neat and that the scans are legible. Marks will be deducted for neatness 6. Late assignments submitted within 24 hours of the deadline will be deducted 25%, assignments submitted past 24 hours will not be accepted 1. (8 Marks) Suppose you deposit $1,360 in a bank savings account that pays interest at a rate of 11% per year. Assume that you don’t withdraw the interest earne d at the end of each compounding period (year). a) How much would you have at the end of year 5 with simple interest? b) How much would you have at the end of year 5 with compound interest? 2. (12 Marks) If you accumulated $935 on your credit card. You completely forgot to pay off your credit card since you do not use it often. The nominal interest rate on the credit card is 18%. How much would you have to pay after 18 months if the interest is compounded: a) Annually b) Semi-Annually c) Quarterly d) Monthly e) Weekly f) Daily 3. (7 Marks) Mark decided to start a small car wash business. To get started, he purchased the main equipment for a total of $3,200. Each year, he usually collects $1,600 in revenue from car washes. He also needs to refill the detergents every year, this usually costs him about $370 per year. In his third year, one of his equipment broke down and he had to get it fixed for $420. After 7 years, he decided to discontinue his car wash business because he wanted to travel. He was able to sell his equipment online for $350. Draw the net cashflow diagram for Mark’s 7-year business.
ECOR3800/Winter 2023 Assignment #1 Page 2/3 4. (25 Marks) Sarah is the head Engineering manager at a large manufacturing facility. One of the major manufacturing equipment she has was purchased for $525,000. The equipment has a service life of 5 years, and it is expected that it can be sold at the end of its service life for $105,000. The machine has yearly production output as shown in the table below. Year 1 2 3 4 5 Anticipated production output 38,000 units 67,000 units 75,000 units 50,000 units 45,000 units For tax purposes, Sarah needs to estimate the book value of this machine for its entire 5-year service life. Calculate the book value of the machine using all 5 depreciation methods indicated in the table below. Depreciation Method Book Value after year 1 Book Value after year 2 Book Value after year 3 Book Value after year 4 Book Value after year 5 a) Straight- line b) Declining balance c) Double declining balance d) 150% declining balance e) Units of production 5. (8 Marks) You are given the cashflow shown below for an investment project. Calculate the future worth of the project at the end of year 4 if interest rate is 8%.
ECOR3800/Winter 2023 Assignment #1 Page 3/3 6. (5 Marks) Sam wants to purchase a new car to celebrate her graduation in four years time. Sam’s mother gives her $4,500 to help her reach her goal. Sam decides to deposit the $4,500 in a bank that pays 5% interest rate. In addition to this initial deposit made right now, Sam is planning to make additional yearly deposits starting one year from now. If the car will cost Sam $45,000, how large should her yearly deposits be? 7. (5 Marks) You would like to withdraw money from your account according to the schedule/cashflow diagram shown in the figure below. How much do you need to deposit today in your bank account that earns a 6% to make this possible? 8. (5 Marks) Mark ’s current salary is $85,000. Mark will start saving 18% of his annual salary starting the end of this year in a mutual fund that returns 11% on average. Mark expects his salary to increase by 5% per year for the next 30 years of employment. How much money should Mark expect to have at retirement 30 years from now?
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