CEIE 301 HW 2

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School

George Mason University *

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Course

301

Subject

Civil Engineering

Date

Apr 3, 2024

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pdf

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Uploaded by CountCheetah7694

GEORGE MASON UNIVERSITY CEIE 301 – Engineering and Economic models in civil engineering Spring 2024 HOMEWORK # 2 Due on 02/01/24 (Total 25 Points) 1.72 Construct a cash flow diagram for the following cash flows: $25,000 outflow at time zero, $9000 per year inflow in years 1 through 5 at an interest rate of 10% per year, and an unknown future amount in year 5. (2.5 Points) 1.73 Construct a cash flow diagram to find the present worth in year 0 for the following series at i = 15% per year. (2.5 Points) Year Cash Flow, $ 0 −19,000 1–4 +8,100 2.24 CGK Rheosystems makes high-performance rotational viscometers capable of steady shear and yield stress testing in a rugged, compact footprint. How much could the company afford to spend now on new equipment in lieu of spending $200,000 one year from now and $300,000 three years from now, if the company uses an interest rate of 15% per year? (5 Points) 2.27 Metso Automation, which manufactures addressable quarter-turn electric actuators, is planning to set aside $100,000 now and $150,000 one year from now for possible replacement of the heating and cooling systems in three of its larger manufacturing plants. If the replacement won’t be needed for 4 years, how much will the company have in the account if it earns interest at a rate of 8% per year? (5 Points) 2.45 An engineer who was contemplating retirement had $1.6 million in his investment portfolio. However, a severe recession caused his portfolio to decrease to only 55% of the original amount, so he kept working. If he was able to invest his money at a rate of return of 9% per year after the recession ended, how many years did it take for his account to get back to the $1.6 million value if no additional funds were invested?. (5 Points) 2.90 You plan to pay $38,000 cash for the new truck you want to buy 5 years from now. If you have already saved $12,500, how much will your well to- do aunt have to give you 2 years from now (as a graduation present) for you to have the total amount of $38,000? Assume all funds are invested and return 8% per year. (5 Points)

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CEIE 301 HW 2

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