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

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 42P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Market Efficiency
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT
CONCEPTS IN FED.TAX., 2020-W/ACCESS
CONCEPTS IN FED.TAX., 2020-W/ACCESS
Accounting
ISBN:
9780357110362
Author:
Murphy
Publisher:
CENGAGE L
SWFT Comprehensive Vol 2020
SWFT Comprehensive Vol 2020
Accounting
ISBN:
9780357391723
Author:
Maloney
Publisher:
Cengage
SWFT Individual Income Taxes
SWFT Individual Income Taxes
Accounting
ISBN:
9780357391365
Author:
YOUNG
Publisher:
Cengage
Pfin (with Mindtap, 1 Term Printed Access Card) (…
Pfin (with Mindtap, 1 Term Printed Access Card) (…
Finance
ISBN:
9780357033609
Author:
Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:
Cengage Learning
SWFT Comprehensive Volume 2019
SWFT Comprehensive Volume 2019
Accounting
ISBN:
9780357233306
Author:
Maloney
Publisher:
Cengage