1. A = P(1 + in) 2. P= 3. A=P(1+i)n 4. P= 5. A=R[(1+i)n-1] Ai 6. R= (1+i)n-1 A (1 + in) A (1+i)n 7. A =R [1-(1+i)n] 8. R= Ai 1-(1+i)n Match the formulas to the conditions below: Formula 5: A: Routine deposit/withdrawal is known Interest added periodically Determine future value Formula 6: B: Present value is known Interest added periodically Determine routine deposit/withdrawal C: Future value is known One time deposit/withdrawal Interest added once Determine present value D: Present value is known One time deposit/withdrawal Interest added periodically Determine future value Formula 7: Formula 8: E. Present value is known One time deposit/withdrawal Interest added once Determine future value F: Future value is known Interest added periodically Determine routine deposit/withdrawal G: Routine deposit/withdrawal is known Interest added periodically Determine present value H: Future value is known One time deposit/withdrawal Interest added periodically Determine present value

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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5-8
Known: 1. Present value 2. Future value 3. Routine deposit/withdrawal
Determine: 4. Present value 5. Future value 6. Routine deposit/withdrawal
Interest added: 7. Once 8. Periodically
Miscellaneous: 9. One time deposit/withdrawal
Which set of conditions above apply to the following scenario:
Ten months ago Marie started making $200 monthly car payments. Based on 6% annual
rate of interest (compounded monthly), what is the value of Marie's payments today?
Identify the conditions:
1. A = P(1 + in) 2. P=
3. A=P(1+i)n 4. P=
[(1 + i)n − 1]
5.
A =R [ { 1 + 1
A
(1 + in)
6. R=
A
(1+i)n
Ai
(1+i)n-1
7. A =R [1-(1+i)n]
8. R=
Ai
1-(1+i)n
Match the formulas to the conditions below:
Formula 6:
Formula 5:
A: Routine deposit/withdrawal is known
Interest added periodically
Determine future value
B: Present value is known
Interest added periodically
Determine routine deposit/withdrawal
C: Future value is known
One time deposit/withdrawal
Interest added once
Determine present value
D: Present value is known
One time deposit/withdrawal
Interest added periodically
Determine future value
Formula 8:
E. Present value is known
One time deposit/withdrawal
Interest added once
Determine future value
Formula 7:
F: Future value is known
Interest added periodically
Determine routine deposit/withdrawal
G: Routine deposit/withdrawal is known
Interest added periodically
Determine present value
H: Future value is known
One time deposit/withdrawal
Interest added periodically
Determine present value
Transcribed Image Text:Known: 1. Present value 2. Future value 3. Routine deposit/withdrawal Determine: 4. Present value 5. Future value 6. Routine deposit/withdrawal Interest added: 7. Once 8. Periodically Miscellaneous: 9. One time deposit/withdrawal Which set of conditions above apply to the following scenario: Ten months ago Marie started making $200 monthly car payments. Based on 6% annual rate of interest (compounded monthly), what is the value of Marie's payments today? Identify the conditions: 1. A = P(1 + in) 2. P= 3. A=P(1+i)n 4. P= [(1 + i)n − 1] 5. A =R [ { 1 + 1 A (1 + in) 6. R= A (1+i)n Ai (1+i)n-1 7. A =R [1-(1+i)n] 8. R= Ai 1-(1+i)n Match the formulas to the conditions below: Formula 6: Formula 5: A: Routine deposit/withdrawal is known Interest added periodically Determine future value B: Present value is known Interest added periodically Determine routine deposit/withdrawal C: Future value is known One time deposit/withdrawal Interest added once Determine present value D: Present value is known One time deposit/withdrawal Interest added periodically Determine future value Formula 8: E. Present value is known One time deposit/withdrawal Interest added once Determine future value Formula 7: F: Future value is known Interest added periodically Determine routine deposit/withdrawal G: Routine deposit/withdrawal is known Interest added periodically Determine present value H: Future value is known One time deposit/withdrawal Interest added periodically Determine present value
1. Starting one month after retiring, Julie plans to withdraw $2000 monthly from her IRA for the
next 20 years. Interest in the amount of 1% of the remaining balance is added monthly to the
account. How much should Julie have in her account upon retiring?
Formula =
i=
n =
Amt. =
2. A year after a subdivision was built (built in 1995), a constant number of people started
moving in per year. Births started occurring after one year of residency. Number of births each
year was the product of current population and 5% annual birth rate. People moved in and
births occurred on the same day each year. Population in 2000 was 100; how many people
moved in each year?
Formula =
Amt. =
3. For 20 years Bear deposited monthly into a mutual fund that yielded 12% annual rate of
interest (compounded monthly). A one-time deposit of $200,000 (deposited 20 years ago) has
the same result (based on 12% annual rate of interest compounded monthly); how much was
deposited monthly?
Formula =
i=
i=
Amt. =
4. Ten months ago Marie started making $200 monthly car payments. Based on 6% annual
rate of interest (compounded monthly), what is the value of Marie's payments today?
Formula =
n =
Amt. =
1. A = P(1 + in) 2. P=
i=
5. Jay has $1,000,000 in his IRA one month before taking his first monthly withdrawal. Interest
in the amount of 1% of the remaining balance is added monthly to the account. How much can
Jay withdraw monthly resulting in a zero balance at the end of 20 years?
Formula =
i=
n =
Amt. =
3. A=P(1 + i)n 4. P=
5. A=R[(1 + i)ª − 1]
Ai
(1 + i)n-1
7. A =R [¹-(1 + i)-n]
I
8. R=
6. R=
Step 1:
Step 2:
Step 3:
Ai
1−(1 + i)-n
n =
A
(1 + in)
A
(1 + i)n
n =
Suppose you are given the following investment
scenario:
Jim deposits monthly into an account that
unfortunately depreciates
at a monthly rate of 0.2 % (compounded monthly).
The value of Jim's
account after 4 years is $3000; how much did Jim
deposit monthly?
What are your 3-step strategies (designed to reduce
the number of formulas by one-half for each step)
when identifying the appropriate formula/model?
Also, identify the formulas for each step. Do not solve.
Transcribed Image Text:1. Starting one month after retiring, Julie plans to withdraw $2000 monthly from her IRA for the next 20 years. Interest in the amount of 1% of the remaining balance is added monthly to the account. How much should Julie have in her account upon retiring? Formula = i= n = Amt. = 2. A year after a subdivision was built (built in 1995), a constant number of people started moving in per year. Births started occurring after one year of residency. Number of births each year was the product of current population and 5% annual birth rate. People moved in and births occurred on the same day each year. Population in 2000 was 100; how many people moved in each year? Formula = Amt. = 3. For 20 years Bear deposited monthly into a mutual fund that yielded 12% annual rate of interest (compounded monthly). A one-time deposit of $200,000 (deposited 20 years ago) has the same result (based on 12% annual rate of interest compounded monthly); how much was deposited monthly? Formula = i= i= Amt. = 4. Ten months ago Marie started making $200 monthly car payments. Based on 6% annual rate of interest (compounded monthly), what is the value of Marie's payments today? Formula = n = Amt. = 1. A = P(1 + in) 2. P= i= 5. Jay has $1,000,000 in his IRA one month before taking his first monthly withdrawal. Interest in the amount of 1% of the remaining balance is added monthly to the account. How much can Jay withdraw monthly resulting in a zero balance at the end of 20 years? Formula = i= n = Amt. = 3. A=P(1 + i)n 4. P= 5. A=R[(1 + i)ª − 1] Ai (1 + i)n-1 7. A =R [¹-(1 + i)-n] I 8. R= 6. R= Step 1: Step 2: Step 3: Ai 1−(1 + i)-n n = A (1 + in) A (1 + i)n n = Suppose you are given the following investment scenario: Jim deposits monthly into an account that unfortunately depreciates at a monthly rate of 0.2 % (compounded monthly). The value of Jim's account after 4 years is $3000; how much did Jim deposit monthly? What are your 3-step strategies (designed to reduce the number of formulas by one-half for each step) when identifying the appropriate formula/model? Also, identify the formulas for each step. Do not solve.
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