Assignment 2
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Concordia University *
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301
Subject
Finance
Date
Feb 20, 2024
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5
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A set of cash flows begins at $38380 the first year, with an increase of 10% per year for 20 years. If the interest rate is 7%, the present value is close to
1.
944805
a.
3671283
b.
7327382
c.
543456
d.
An engineer borrowed $6000 from the bank, payable in six equal end-of-year payments at 8%. The bank agreed to reduce the interest on the loan if interest rates declined in the United States before the loan was fully repaid. At the end of 3 years, at the time of the third payment, the bank agreed to reduce the interest rate from 8% to 7% on the remaining debt. What was the amount of the equal annual end-of-year payments for each of the first 3 years?
2.
$2595.78
a.
$1297.89
b.
$1946.84
c.
$973.42
d.
The following cash flow transactions are said to be equivalent in terms of economic desirability at an interest rate of 12% compounded annually.
3.
B=133, C=266, D=399, E=532, F=665
The unknown value A is close to
Note: Asking questions in this manner is common in economics. What is implied is that the value of the cash flow on the left is the same as the value of the cash flow on the right (as long as these values are evaluated at the same time).
438
a.
466
b.
462
c.
416
d.
Assignment 2
July 21, 2023
10:56 PM
ENGR 301 Page 1
Tina has saved $22549 from her summer jobs. Rather than work for a living, she plans to buy an annuity from a trust company and become a beachcomber in Fiji. An annuity will pay her a certain amount each month for the rest of her life and is calculated at 4 percent interest, compounded monthly, over Tina’s 55 remaining years. Tina calculates that she needs at least $5 per day to live in Fiji, and she needs $1200 for airfare.
4.
How much would she have available to spend each day?
$2.63
a.
$1.97
b.
$5.26
c.
$3.95
d.
Can she retire now? (Yes=1 , No=2)
1
a.
2
b.
A regional municipality is studying a water supply plan for its tri-city and surrounding area to the end of year 2060. To satisfy the water demand, one suggestion is to construct a pipeline from a major lake some distance away. Construction would start in 2020 and take five years at a cost of $24 million per year. The cost of maintenance and repairs starts after completion of construction and for the first year is $2 million, increasing by 1 percent per year thereafter. At an interest rate of 8 percent, what is the present worth of this project?
5.
Assume all cash flows take place at year-end. Consider the present to be the end of 2015/beginning of 2016. Assume there is no salvage value at the end of year 2060.
$125.037 million
a.
$62.519 million
b.
$166.716 million
c.
$83.358 million
d.
A set of cash flows begins at $19484 the first year, with an annual decrease of 10% for 14 years. If the interest rate is 8%, the future value is close to
6.
293172
a.
99814
b.
838109
c.
285343
d.
ENGR 301 Page 2
293172
a.
99814
b.
838109
c.
285343
d.
Mark saves a fixed percentage of his salary at the end of each year. This year he saved $ 3832. For the next 5 years, he expects his salary to increase at an 8% annual rate, and he plans to increase his savings at the same 8% annual rate. He invests his money in the stock market. There thus will be six end of year investments. Solve the problem by using the geometric gradient factor
7.
How much will the investment be worth at the end of the six years if they increase in the stock market at a 13% annual rate? The answer is close to
49780
a.
18225
b.
23910
c.
37943
d.
The MacIntosh Company has an employee savings plan that allows every employee to invest up to 6% of his or her annual salary. The money is invested in company common stock with the company guaranteeing that the annual return will never be less than 8%. Jill was hired at an annual salary of $41144. She immediately joined the savings plan, investing the full 6% of her salary each year. If Jill’s salary increases annually at an 8% uniform rate, and she continues to invest 6% of it each year, the amount of money she is guaranteed to have at the end of 15 years is close to
8.
108763
a.
571444
b.
1812718
c.
34287
d.
The football coach at a university was given a five-year employment contract that paid $225,000 the first year, and increased at an 6 % uniform rate in each subsequent year. At the end of the first year of the football season, the alumni demanded that the coach be fired. The alumni agreed to buy out his remaining years on the contract by paying him the equivalent present sum, computing with a 10% interest rate. The amount the coach will receive is close to
9.
821103
a.
951003
b.
ENGR 301 Page 3
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821103
a.
951003
b.
57060
c.
774626
d.
A 25-year old engineer is opening an individual retirement account (RRSP) at a bank. Her goal is to accumulate $1 million in the account by the time she retires in 32 years. The bank manager estimates she may expect to receive 7 % nominal annual interest, compounded quarterly, throughout the 32 years. The engineer believes her income will increase at a 7% annual rate during her career. She wishes to start with as low a deposit as possible to her RRSP now and increase it at a 7% rate each year. Assuming end of year deposits, determine the amount she should deposit the first year. This amount is close to
10.
3734
a.
41801
b.
3533
c.
6315
d.
Suzanne is a recent chemical engineering graduate, who has been offered a five year contract at a remote location. She has been offered two choices. The first salary choice is a fixed salary of $75,000 per year. The second one has a starting salary of $65,000 with annual increases of 5% starting in year 2. For calculation purposes, assume that her salary is paid at the end of the year. If the interest rate is 9%, calculate the present value P
1
for choice 1 and present value P
2
for choice 2 and determine which choice is best. The best answer is
11.
Select one:
P
1
= $291,724 and salary choice 2 is better than salary choice 1
a.
P
2
= $277,070 and salary choice 1 is better than salary choice 2
b.
P
1
= $291,524 and salary choice 1 is better than salary choice 2
c.
P
2
= $277,170 and salary choice 2 is better than salary choice 1
d.
All the other choices are wrong
e.
ENGR 301 Page 4
ENGR 301 Page 5
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