HW Assignment 4-1
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Virginia Western Community College *
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Apr 3, 2024
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ENMA 302
Gavin C.
Homework Assignment 4
Question 1 (1pt.)
:
How much must be deposited now at 4 ½% interest to produce $300 at the end of every year for 10 years?
Question 2 (2pts.)
:
In the table below, the cash flows have a combined Present Value of 0. The first three cash flows occur at the end of periods 1, 2, & 3. If the interest rate is 8%, what is the value each of the uniform cash flows at the end of periods 6, 7 & 8?
Year
Cash Flow
1
100
2
100
3
100
4
0
5
0
6
?
7
?
8
?
1
2
3
4
5
6
7
8
100
100
100
Question 3 (2pts.)
:
A new car can be purchased for a down payment of $5,000 and 60 monthly payments of $280. If the interest rate is 12% compounded monthly, what is the price of the car (including the cost of the interest payments)?
ENMA 302
Gavin C.
Question 4 (2pts.)
:
An insurance annuity will pay $50 in two (2) years, $100 in three (3) years and $150 in four (4) years. What is the value of the annuity today if the interest rate is 10%?
Question 5 (2pts.)
:
A series of cash flows will occur in sequence as follows: present time, $100, the end of one (1) year, $150, the end of two (2) years, $200, the end of three (3) years, $250. Compute
the present value of the cash flows using an interest rate of 8%.
Question 6 (3pts.)
:
A series of cash flows begins at $12,675 the first year, with an increase each year until n=10. If the interest rate is 12.675%, what is the present value when the annual increase is $1,268?
Question 7 (3pts.)
:
A series of cash flows begins at $7,125 the first year, with an increase each year until n=10. If the interest rate is 7.125%, what is the present value when the annual increase is
7.125%?
Question 8 (1pt.)
:
The Central Bank pays 7% annual interest, compounded daily
on savings accounts. What is the effective annual rate?
Question 9 (1pt.)
:
A bank pays 12% nominal interest on special three-year certificates. What is the effective annual rate if interest is compounded continuously?
Question 10 (2pts.)
:
After reading Integrative Case 1
(page 154 – 157), answer the following questions:
a.
What is the firm’s year-over-year growth in terms of total assets?
b.
How much debt reduction did the firm achieve from 2008 to 2009?
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Related Questions
Question 2: In the following cash flow, how much
should be deposited at the beginning of year 1 so
that the four-year withdrawals as shown below
can be made at the end of each year. Assume the
interest rate is 13.5%.
24000
20000
16000
12000
012 3 4
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Question 3)
Suppose that next three years you will receive $100, $200, and $300 at the end of the first, second,
and the third years, respectively. Assume that the yearly interest rate is %12.
(a) Calculate the present value of this cash flow stream. (7 p.)
(b) Calculate the annual equivalent of this cash flow stream. (4 p.)
(c) Solve the questions in (a) and (b), if you receive the same amount of money, $100, at the end
of each year. (3 p. + 1 p.)
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Illustration 1
Calculate the future value of the following cash flow if it is invested @ 8% interest
p.a.
At the end of each year
Amount Deposited
1
2,000
4,000
3.
6,000
4
8,000
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Question 1
How much money should be deposited each year for 6 years starting 1 year from today, if you wish to withdraw $5604 each
year for 9 years, beginning at the end of 15 years? Let i=12% per year.
Round your answer to 2 decimal places.
Upload the picture of your solution in Question 1 including cash flow diagram.
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Intro
You expect to receive two cash flows: $31,000 paid in 5
years and $46,500 paid in 10 years. You'll put the money
into a savings account with an annual interest rate of
8%.
Part 1
What is the future value of the combined cash flows, in
15 years?
0+ decimals
Submit
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part a and b
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Question
What is the value, 6 years in the future, of $3,707 invested to earn an annual return of 4.4% ?
Enter your answer rounded to the nearest second decimal place. For example, enter $123.456 as $123.46.
Flag question: Question 7
Question
Imagine that you would like to withdraw $2,511 at the beginning of each year starting today and lasting for the next 8
years. Assuming the funds in the account are invested to generated an annual return of 6.4%, how much would you
need to have in the account to fund this stream of payments?
Enter your answer rounded to the nearest second decimal place. For example, enter $1,234.567 as 1234.57.
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plz answer question 3.
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I need the answer soon please
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5. Present value
1. To find the present value of a cash flow expected to be paid or received in the future, you will _________ the future value cash flow by
2. What is the value today of a $12,000 cash flow expected to be received seventeen years from now based on an annual interest rate of 7%?
$37,906
$5,888
$3,799
$4,749
3. Your broker called earlier today and offered you the opportunity to invest in a security. As a friend, she suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest.
The decision rule that should be used to decide whether or not to invest should be:
everything else being equal, you should invest if the discounted value of the security’s expected future cash flows is greater than or equal to the current cost of the security.
everything else being equal, you should invest if the discounted value of the security’s expected future…
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1. Future Value
For each of the cases shown in the following table, calculate
the future value of the single cash flow deposited today and
held until the end of the deposit period if the interest is
compounded annually at the rate specified.
Part Single CF Interest Rate Deposit Period (Years)
PV
I/Y
N
A
$900
3%
B
$1200
6%
C $16,000
9%
D $40,000
10%
6
8
12
15
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SAVING ACCOUNT
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K
Suppose you receive $500 at the end of each year for the next three years.
a. If the interest rate is 7%, what is the present value of these cash flows?
b. What is the future value in three years of the present value you computed in (a)?
c. Suppose you deposit the cash flows in a bank account that pays 7% interest per year. What is the balance in the
account at the end of each of the next three years (after your deposit is made)? How does the final bank balance
compare with your answer in (b)?
a. The present value of the cash flow is $
(Round to the nearest cent)
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Question:
Use the following information to answer the next two questions:
You deposited the following stream of cash flow at the end of the year:
Year deposit rate of interest 1 5000 8%
4 4000 8.5%
6 7000 10%
What will be the total amount in your account at the end of 6 years?
2. What is the present value of your deposit?
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Problem 8.
What is the equivalent worth in year 5 of the following series of income and disbursements, if the interest rate is 10% per year?
Year
Income, S
0
0
1-5
6000
6-8
6000
9-14
8000
Answer:
Equation:
CFD:
Expense, S
9000
6000
3000
5000
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4
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Find the present worth of the cash receipts in the accompanying diagram if i = 8% compounded annually, with only four interest factors.
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Please find attached the Chap 2-Problem 177 in Principles of Engineering Economic Analysis, White, 6e
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Do all
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SOLUTION WITH CASH FLOW DIAGRAM PLS
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4-78
A
A set of cash flows begins at $20,000 the first year,
with an increase each year until n = 10 years. If the
interest rate is 10%, what is the present value when
(a) the annual increase is $2000?
(b) the annual increase is 10%?
6.
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Can u also answer part 2
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3.51 Find the equivalent present worth of the cash
receipts where i = 9%. In other words, how much do
you have to deposit now (with the second deposit in
the amount of $300 at the end of the first year) so that
you will be able to withdraw $300 at the end of second
year, $180 at the end of third year, and so forth if the
bank pays you an 9% annual interest on your balance?
$450
$300
$180
$180
1
2
3
4
5
Years
$300
Figure P3.51
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5. Present value To find the present value of a cash flow expected to be paid or received in the future, you will the future value cash flow by
(1+1)N What is the value today of a $42, 000 cash flow expected to be received 17 years from now based on an annual interest rate of 7% ? $13,296 $10,637 $132, 670 $20, 609 Your broker called carfier today and offered you the opportunity to invest in a security. As a friend, he suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be. Everything else being equal, you should invest if the discounted value of the security's expected future cash flows is greater than or equal to the current cost of the security. Everything else being equal, you should invest if the current cost of the security is greater than the present value of the security's…
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6. Computing Future Value of Annual Deposits. What amount would you have if you L
deposited $2,500 a year for 30 years at 8 percent (compounded annually)? (Use
time value of money calculations in Chapter 1 Appendix.)
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144
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40
73
14
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12
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86
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4.
24
3.
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Please solve
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Question 5
Suppose you deposit $2,000 at the end of each quarter for five
years at an interest rate (APR) of 8% compounded monthly. Which
of the following formulas will determine the present worth value
of your savings at the end of year 5?
P = $2000(P/A,8%,5)
P = $2000(P/A,2.01%,20)
P = $2000(P/A,8%,20)
OP= $2000(P/A,2.01%,5)
Question 6
How many years will it take an investment to triple if the interest
rate is 6% compounded continuously? (round up your answer to
the nearest integer)
20
22
21
19
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- Question 2: In the following cash flow, how much should be deposited at the beginning of year 1 so that the four-year withdrawals as shown below can be made at the end of each year. Assume the interest rate is 13.5%. 24000 20000 16000 12000 012 3 4arrow_forwardQuestion 3) Suppose that next three years you will receive $100, $200, and $300 at the end of the first, second, and the third years, respectively. Assume that the yearly interest rate is %12. (a) Calculate the present value of this cash flow stream. (7 p.) (b) Calculate the annual equivalent of this cash flow stream. (4 p.) (c) Solve the questions in (a) and (b), if you receive the same amount of money, $100, at the end of each year. (3 p. + 1 p.)arrow_forwardIllustration 1 Calculate the future value of the following cash flow if it is invested @ 8% interest p.a. At the end of each year Amount Deposited 1 2,000 4,000 3. 6,000 4 8,000arrow_forward
- Question 1 How much money should be deposited each year for 6 years starting 1 year from today, if you wish to withdraw $5604 each year for 9 years, beginning at the end of 15 years? Let i=12% per year. Round your answer to 2 decimal places. Upload the picture of your solution in Question 1 including cash flow diagram.arrow_forwardIntro You expect to receive two cash flows: $31,000 paid in 5 years and $46,500 paid in 10 years. You'll put the money into a savings account with an annual interest rate of 8%. Part 1 What is the future value of the combined cash flows, in 15 years? 0+ decimals Submitarrow_forwardpart a and barrow_forward
- Question What is the value, 6 years in the future, of $3,707 invested to earn an annual return of 4.4% ? Enter your answer rounded to the nearest second decimal place. For example, enter $123.456 as $123.46. Flag question: Question 7 Question Imagine that you would like to withdraw $2,511 at the beginning of each year starting today and lasting for the next 8 years. Assuming the funds in the account are invested to generated an annual return of 6.4%, how much would you need to have in the account to fund this stream of payments? Enter your answer rounded to the nearest second decimal place. For example, enter $1,234.567 as 1234.57.arrow_forwardplz answer question 3.arrow_forwardI need the answer soon pleasearrow_forward
- 5. Present value 1. To find the present value of a cash flow expected to be paid or received in the future, you will _________ the future value cash flow by 2. What is the value today of a $12,000 cash flow expected to be received seventeen years from now based on an annual interest rate of 7%? $37,906 $5,888 $3,799 $4,749 3. Your broker called earlier today and offered you the opportunity to invest in a security. As a friend, she suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be: everything else being equal, you should invest if the discounted value of the security’s expected future cash flows is greater than or equal to the current cost of the security. everything else being equal, you should invest if the discounted value of the security’s expected future…arrow_forward1. Future Value For each of the cases shown in the following table, calculate the future value of the single cash flow deposited today and held until the end of the deposit period if the interest is compounded annually at the rate specified. Part Single CF Interest Rate Deposit Period (Years) PV I/Y N A $900 3% B $1200 6% C $16,000 9% D $40,000 10% 6 8 12 15arrow_forwardSAVING ACCOUNTarrow_forward
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