CH 11 Rule of 72 Student Activity(1)
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C HAP T 1
1
Activity:
Rule of 72 FOU nd A T i O n S in PERSO n A l F in A n CE CO ll E g E E di T i O n
CHAPTER 11: R ET i RE m E n T A nd S Aving S Pl A n S
Name Date
Objective
The purpose of this activity is to understand and apply the Rule of 72, which is
used to determine how long it takes for investments to double. The Rule of 72 can also determine what interest rate you need to earn to double your money.
Directions
A number of different types of investment options are listed in the first column in the chart below. Using the tools of a financial reporting website, like bankrate.com or yahoofinance.com, find a provider for each type of investment listed. List the name of the fund or bank that you found in the
second column, and the rate of return in the third
column. Finally, use the Rule of 72 (right) to determine how long it will take your money to double using that particular type of investment, and write it in the fourth column.
The International Mutual Fund investment has been filled in as an example.
Investment
nAme oF Fund or BAnk
rAte oF return
yeArs to douBle
Money Market Mutual Fund
JP Morgan
12.4%
5.8 years
International Mutual Fund
Stanley Global Bond Fund
13.9
%
5.2 years
Passbook Savings Account
Chase .01%
7,200 years
Checking Account
Bank of America
.02%
3,600 years
3-Year Certificate of Deposit
Pentagon Federal Credit Union
2.1%
34.3 years
5-Year Certificate of Deposit
Pentagon Federal Credit Union
2.5%
28.8 years
Growth Stock Mutual Fund
APGAX
12%
6 years
Rule of 72
72 / interest rate
= years to double investment
72 / the years it takes to double
1
1
C HAP T E R
Activity:
Rule of 72 FOU nd A T i O n S in PERSO n A l F in A n CE CO ll E g E E di T i O n
CHAPTER 11: R ET i RE m E n T A nd S Aving S Pl A n S
Use the Rule of 72 to answer the following questions.
1 What annual interest rate will cause your money to double in four years?
Your interest rate must be 18 percent.
2 Tanner has invested $500 for college. What rate of return must Tanner earn for his investment to double in six years?
His rate of return must be 12 percent.
3 Jerrod owes $2,000 on a credit card that charges him an annual percentage rate of 18%. If Jerrod stopped
making payments, how long would it be before the balance on his credit card reached $4,000?
It will take 4 years for his balance to reach $4,000.
4 Because Jerrod missed a payment, the credit card company automatically raised the interest rate to 24%.
How many years would it be until his balance doubles, assuming he continues to make no payments?
It will take 3 years until his balance doubles. 5 Emily got a new job that guarantees her a 6% raise every year. If she started out making $25,000, how long will it be before she doubles her current salary?
It will be 12 years before she doubles her salary. 6 If you invested $250 at 16% interest, how much will you have after 18 years?
You will have $970 after 18 years. 7 Ron and Amie invested $5,000 in an Education Savings Account for their daughter when she was born. They were unable to add anything else to the account. What was the rate of return if they had $10,000 in the account after 12 years?
The rate of return was 6%.
8 Kari would like to save $10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current $5,000 savings based on a 6%, 12% and 18% interest rate.
A 6% interest rate would take her 12 years, 12% will take her 6 years, and 18% would take her 4 years.
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Related Questions
akeAssignmentMain.do?invoker%3D&takeAssignmentSessionLocator=&inprogress%3false
hapter 11 Lab Application
全 回
Sign ia
еBook
You have been depositing money into an account yearly based on the following investment amounts, rates and times, what is the value of that investment account at the end of that
period?
(Click here to see present value and future value tables)
Amounts of
Value at the End
Investment
Rate
Times
of the Period
$7,000
20%
16 years
612,094.91X
$11,000
15%
9 years
184,644.26X
$15,000
12%
5 years
95,292.71 X
$36,000
10%
2 years
75,600.00
Feedback
>
Check My Work
For each scenario, use the rate and time components to use the applicable time value of money table to determine the needed factor. Multiply the investment amount by the
future value factor to determine the value of end of the period.
6:38 PM
G O 4) ENG
13
68°F Sunny
10/26/2021
O
P Type here to search
hp
%24
%24
%24
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Simon Company's year-end balance sheets follow.
At December 31
Current Yr
1 Yr Ago
2 Yrs Ago
Assets
$ 25,494
29,800 $
52,676
69,608
7,901
216,273
Cash
$
Accounts receivable, net
Merchandise inventory
Prepaid expenses
Plant assets, net
73,888
91,962
8,459
236,656
30,737
40,577
42,778
3,348
189,960
Total assets
$ 436,459
$ 376, 258 $ 307,400
Liabilities and Equity
$ 106,505
64, 223 $ 40,577
Accounts payable
Long-term notes payable secured by
mortgages on plant assets
Common stock, $10 par value
Retained earnings
$
83,695
68,615
162,500
35,708
$ 376, 258 $ 307,400
89,136
162,500
162,500
83,759
60,399
Total liabilities and equity
$ 436,459
(1-a) Compute the current ratio for each of the three years.
(1-b) Did the current ratio improve or worsen over the three year period?
(2-a) Compute the acid-test ratio for each of the three years.
(2-b) Did the acid-test ratio improve or worsen over the three year period?
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es
The four people below have the following investments.
Invested
Amount
$ 11,800
14,800
21,800
17,800
Jerry
Elaine
George
Kramer
Req 1A
Interest
Rate
Required:
1-a. Calculate the future value at the end of three years. (FV of $1, PV of $1, FVA of $1, and PVA of $1)
1-b. Who has the greatest investment accumulation?
Req 1B
Jerry
Elaine
George
Kramer
12%
8
7
9
Complete this question by entering your answers in the tabs below.
Compounding
Quarterly
Semiannually
Future Value
Annually
Annually
Calculate the future value at the end of three years.
Note: Use Excel or a financial calculator. Round your answers to 2 decimal places.
2
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pm.4
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Just do part III) and IV)
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Give typing answer with explanation and conclusion
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The following information relates to four assets:
Probability Return on E Return on F Return on G Return on H
0.1
10%
6%
14%
2%
0.2
10%
8%
12%
6%
0.4
10%
10%
10%
9%
0.2
10%
12%
8%
15%
0.1
10%
14%
6%
20%
(a) What is the expected return for each of the assets? (4)
(b) Calculate the variance of each asset. (8)
(c) Determine the covariance of asset F and G. (4)
(d) What is the correlation coefficient between assets F and G? (4)
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Value UI T IUF WHich PW(1)c
PW (1)p?
10.
Investments A and B have the net cash flows given.
End of year
1
4.
$ 75
$ 75
$150
А
-$250
-$250
$175
$ 75
$150
$ 75
В
$150
Compare the present worth of A with the present worth of B for an in-
terest rate of 5%. Which has the higher value? Answer: A
If the interest rate is 15%, which has the higher value? Answer: B
а.
b.
On the same axis, graph the present worth of each investment as a func-
tion of the interest rate.
с.
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AA.6 The accumulation function for fund X is given by: ax(t) = 1 + 0.5t.
The accumulation function for fund Yis given by: ay(t)
= 1 + 0.5t².
At time T, the force of interest is the same for the two funds.
Find T.
(a) 0.11
(b) 0.45
(c) 0.59
(d) 0.90
(e) 1.16
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Please do not give answer in image formate
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A3 3b
3. We have two mutually exclusive investments with the following cash flows:
Year
Investment A
Investment B
0
–$100
–$100
1
10
50
2
30
40
3
50
30
4
70
20
b. Calculate the NPV profile for each investment, using the discount rates of 0%, 5%, 10%, 15%, 20%, and 25%. Perform this task in an Excel spreadsheet. Cautionary note: If you use the =NPV() function in Excel to calculate the NPVs, it will provide incorrect answers. The NPV() function actually calculates the present value of all cash inflows. The NPV should be calculated as =NPV(all cash inflows) – initial cash outflow.
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march eacg Letter to the correct number answer to the left:
1. Interest
2. Monetary asset
3. Compound interest
4. Simple interest
5. Annuity
6. Present value of a single amount
7. Annuity due
8. Future value of a single amount
9. Ordinary annuity
10. Effective rate or yield
11. Nonmonetary asset
12. Time value of money
13. Monetary liability
1. ______
2. ______
3. ______
4. ______
5. ______
6. ______
7. ______
8. ______
9. ______
10. ______
11. ______
12. ______
13. ______
a. First cash flow occurs one period after agreement begins
b. The rate at which money will actually grow during a year
c. First cash flow occurs on the first day of the agreement
d. The amount of money that a dollar will grow to
e. Amount of money paid/received in excess of amount borrowed/lent
f. Obligation to pay a sum of cash, the amount of which…
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Consider the following returns for two investments, A and B. over the past four years:
Investment 1:
Investment 21
a-1. Calculate the mean for each investment. (Round your answers to 2 decimal places.)
Investment 1
Investment 2
Investment 1
O Investment 2
6%
a-2. Which investment provides the higher return?
Investment 1
Investment 2
Mean
b-1. Calculate the standard deviation for each investment. (Round your answers to 2 decimal places.)
Investment 1
Investment 2
96
%
Investment 1
Investment 2
Standard Deviation
b-2. Which investment provides less risk?
516
5.7.5
c-1. Given a risk-free rate of 1.2%, calculate the Sharpe ratio for each investment. (Round your answers to 2 decimal places.
Sharpe Ratio
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H1.
Account
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Two investments have the following pattern of expected returns:
Investnent A
Year 1
$5, 100
Year 2
$10,100
Year 3
Year 4
Year 4 (Sale)
$121,000
STCF
$12,100
$15,100
Investment B
Year 1
$2,100
Year 2
$4,100
Year 3
$1,100
Year 4
Year 4 (Sale)
$181,000
BTCF
$5,100
Investment A requires an outlay of $111,000 and Investment B requires an outlay of $121,000.
Required:
a. What is the BTIRR on each investment?
b. If the BTIRR were partitioned based on BTCF, and BTCF, what proportions of the BTIRR would be represented by each?
c. Which investment would be preferable?
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An investor has $10,000 invested in asset (X). His advisor recommend a new asset ( Y) for investment with following rate of returns and probabilities:
X
-10
5
15
Total
-5
0.04
0.05
0.01
0.1
-10
0.05
0.05
0.05
0.15
Y
0
0.02
0.1
0.08
0.2
15
0.04
0.2
0.06
0.3
25
0.05
0.1
0.1
0.25
Total
0.2
0.5
0.3
1
a.) Do you agree with the advisor recommendation to invest in asset Y? Explain.
b.) If the investor able to divide his money and put it in a new portfolio: $5,000 (50%) in asset (X) and $5,000 (50%) in asset (Y). Would you recommend the new portfolio? Explain.
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K
t
1
ences
Using Exhibit 1-B, complete the following table. (Round FVA factors to 3 decimal places and final answers to the nearest whole
dollar.)
Annual Deposit Rate of Return
$
$
$
$
1,200
1,200
1,200
1,200
4%
7%
6%
9%
Number of
Years
10
10
30
30
Investment Value at
the End of Time
Period
Total Amount
of Investment
Total Amount of
Earnings
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Returns. What are the returns on the following investments, E ?
.....
Original Cost
of Investment
Selling Price
of Investment
Distributions
Investment
Received
Percent Return
CD
$800
$810
$0
% (Round to two decimal places.)
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Round to four decimal places.
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b. If the BTIRR were partitioned based on BTCFo and BTCFs' what proportions of the BTIRR would be represented by each?
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- akeAssignmentMain.do?invoker%3D&takeAssignmentSessionLocator=&inprogress%3false hapter 11 Lab Application 全 回 Sign ia еBook You have been depositing money into an account yearly based on the following investment amounts, rates and times, what is the value of that investment account at the end of that period? (Click here to see present value and future value tables) Amounts of Value at the End Investment Rate Times of the Period $7,000 20% 16 years 612,094.91X $11,000 15% 9 years 184,644.26X $15,000 12% 5 years 95,292.71 X $36,000 10% 2 years 75,600.00 Feedback > Check My Work For each scenario, use the rate and time components to use the applicable time value of money table to determine the needed factor. Multiply the investment amount by the future value factor to determine the value of end of the period. 6:38 PM G O 4) ENG 13 68°F Sunny 10/26/2021 O P Type here to search hp %24 %24 %24arrow_forwardSimon Company's year-end balance sheets follow. At December 31 Current Yr 1 Yr Ago 2 Yrs Ago Assets $ 25,494 29,800 $ 52,676 69,608 7,901 216,273 Cash $ Accounts receivable, net Merchandise inventory Prepaid expenses Plant assets, net 73,888 91,962 8,459 236,656 30,737 40,577 42,778 3,348 189,960 Total assets $ 436,459 $ 376, 258 $ 307,400 Liabilities and Equity $ 106,505 64, 223 $ 40,577 Accounts payable Long-term notes payable secured by mortgages on plant assets Common stock, $10 par value Retained earnings $ 83,695 68,615 162,500 35,708 $ 376, 258 $ 307,400 89,136 162,500 162,500 83,759 60,399 Total liabilities and equity $ 436,459 (1-a) Compute the current ratio for each of the three years. (1-b) Did the current ratio improve or worsen over the three year period? (2-a) Compute the acid-test ratio for each of the three years. (2-b) Did the acid-test ratio improve or worsen over the three year period?arrow_forwardes The four people below have the following investments. Invested Amount $ 11,800 14,800 21,800 17,800 Jerry Elaine George Kramer Req 1A Interest Rate Required: 1-a. Calculate the future value at the end of three years. (FV of $1, PV of $1, FVA of $1, and PVA of $1) 1-b. Who has the greatest investment accumulation? Req 1B Jerry Elaine George Kramer 12% 8 7 9 Complete this question by entering your answers in the tabs below. Compounding Quarterly Semiannually Future Value Annually Annually Calculate the future value at the end of three years. Note: Use Excel or a financial calculator. Round your answers to 2 decimal places. 2arrow_forward
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