Ch 13 WS wo solution
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A MULTIPLE-STEP PROBLEM IN PERSONAL FINANCIAL PLANNING
Victor and his financial adviser are checking whether Victor’s savings plan will allow him to achieve his retirement goals. Victor wishes to retire in 30 years at age 58. His plan is to use some of the funds in his RRSP at age 58 to purchase a 10-year annuity paying $5000 at the end of each month. Then, at age 68, he intends to use the balance of the funds in his RRSP to purchase a 20-year annuity paying at least $7000 at each month’s end.
Victor anticipates that he will be able to contribute $5000 to his RRSP at the beginning of each of the next 15 years and $10,000 at the beginning of each of the subsequent 15 years. Can Victor achieve the desired retirement income if the RRSP earns 8% compounded semiannually and the funds used to purchase the annuities earn 7.5% compounded monthly?
A magazine offers a one-year subscription rate of $63.80 and a three-year subscription rate
of $159.80, both payable at the start of the subscription period. Assuming that you intend to
continue to subscribe for three years and that the one-year rate does not increase
for the
next two years, what rate of “return on investment” will be earned by paying for a
three-
year subscription now instead of three consecutive one-year subscriptions?
PV=159.80, PMT= 63.80, N=3, C/Y=P/Y=1
The payments required on a contractual obligation are $500 per month. The contract was
purchased for $13,372 just before a regular payment date. The purchaser determined this
price based on his required rate of return of 9.75% compounded monthly. How many pay-
ments will he receive?
PV=13,372.
Pembroke Golf Club’s initiation fee is $5500. It offers an installment payment alternative of
$1000 down and $1000 at the end of each year for five years. What effective rate of interest
is being charged on the installment plan?
PV=4,500 (5,500-1,000), PMT=-1,000
No BGN mode
Felix has already accumulated $20,000 and plans to invest another $5000 at the beginning
of each year for the next 15 years. He expects to earn a return of 7.25% compounded annually
on his investments. What size monthly payments can be withdrawn from the matured
investment beginning in the 16th year if it earns 4.5% compounded monthly for the next
15 years? Assume that the monthly payments will deplete the fund after 15 years.
PMT=-5,000, PV=-20,000 , FV= 194,524.43 PV=-194,524.43 , N=180, CPT PMT=1,482.54
F. Ernest Jerome, Tracy Worswick. (2019). Business Mathematics in Canada (10th Canadian Edition) [Texidium version]. Retrieved from http://texidium.com
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Related Questions
Ms. Ieda Silva plans to retire in 28 years and expects to live for 25 years after retirement. She is preparing a savings plan to meet the following objectives. First, after retirement she would like to be able to withdraw $20,000 per month. The first withdrawal will occur at the end of the first month after retirement. Second, she would like to leave her son an inheritance of $500,000 when she passes on. Finally, she would like to set up a fund that will pay $15,000 per month forever to her favorite charity after she passes on. These payments to the charity will start one month after she passes on. All monies can earn 10 percent annual rate compounded monthly. How much will she have to save per month to meet these objectives? She wishes to make the first deposit a month from now and the last deposit on the day she retires.
A.$983.24
B.$1,105.11
C.$1,550.51
D.$1,202.17
E.$603.38
F.$430.71
G.$1,014.02
H.$1,306.52
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Elijah James is in his early 30s and is thinking about opening an IRA. He can't decide whether to open a traditional/deductible IRA or a Roth IRA, so he turns to you for help.
To support your explanation, you decide to run some comparative numbers on the two types of accounts; for starters, use a 30-year period to show Elijah what contributions of $5,000 per year will amount to (after 30 years) if he can earn, say, 10 percent on his money. Round your answers to the nearest dollar.
1A. traditional IRA $___1B. Roth IRA $ _____
Will the type of account he opens have any impact on this amount?-Select: YES OR NO
Assuming that Elijah is in the 30 percent tax bracket (and will remain there for the next 30 years), determine the annual and total (over 30 years) tax savings he'll enjoy from the $5,000-a-year contributions to his IRA. Contrast the (annual and total) tax savings he'd generate from a traditional IRA with those from a Roth IRA. If an answer is zero, enter "0". Round your answers…
arrow_forward
Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be
retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into
a retirement savings account that will earn 12% compounded monthly. Then one year after
making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after
he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum
worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12%
compounded monthly. How much should the monthly deposits be for his retirement plan?
arrow_forward
Your best friend Sam is in discussion with you about saving for his retirement. You are to advise him on how much he should deposit annually to meet his retirement needs. Assume that he will deposit a fixed annual amount for the next 20 years into a retirement savings account, starting one year from now. Sam has a son who will be attending college and plans to make 5 withdrawals (starting one year after making his final deposit into the retirement account) of $35,500 to pay for his annual tuition for the following 5 years. Commercial Banks will be paying 6 percent on such retirement accounts for the next 25 years.
Kindly advise Sam on how much he should place in the account annually to cover his retirement needs.
arrow_forward
Your best friend Sam is in discussion with you about saving for his retirement. You are to advise him on how much he should deposit annually to meet his retirement needs. Assume that he will deposit a fixed annual amount for the next 20 years into a retirement savings account, starting one year from now. Sam has a son who will be attending college and plans to make 5 withdrawals (starting one year after making his final deposit into the retirement account) of $35,500 to pay for his annual tuition for the following 5 years. Commercial Banks will be paying 6 percent on such retirement accounts for the next 25 years.
Kindly advise Sam on how much he should place in the account annually to cover his retirement needs.
(Answer rounded to 2 decimal dollar)
arrow_forward
Elijah James is in his early 30s and is thinking about opening an IRA. He can't decide whether to open a traditional/deductible IRA or a Roth IRA, so he turns to you for help.
To support your explanation, you decide to run some comparative numbers on the two types of accounts; for starters, use a 35-year period to show Elijah what contributions of $5,000 per year will amount to (after 35 years) if he can earn, say, 8 percent on his money. Round your answers to the nearest dollar.
1A. traditional IRA $______1B. Roth IRA $_______
Will the type of account he opens have any impact on this amount?
Select: Yes or No
2. Assuming that Elijah is in the 25 percent tax bracket (and will remain there for the next 35 years), determine the annual and total (over 35 years) tax savings he'll enjoy from the $5,000-a-year contributions to his IRA. Contrast the (annual and total) tax savings he'd generate from a traditional IRA with those from a Roth IRA. If an answer is zero, enter "0". Round your…
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A 40-year-old woman decides to put funds into a retirement plan. She can save $3,000 a year and earn 7 percent on this savings. How much will she have accumulated if she retires at age 65? Use Appendix C to answer the question. Round your answer to the nearest dollar.$
At retirement how much can she withdraw each year for 25 years from the accumulated savings if the savings continue to earn 7 percent? Use Appendix D to answer the question. Round your answer to the nearest dollar.$
Appendix C
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A client needs assistance with retirement planning. Here are the facts:
The client, Dave, is 21 years old. He wants to retire at 65.
Dave has disposable income of $2,000 per month.
The IRA Dave has chosen has an average annual return of 8%.
Question 1. If Dave contributes half of his disposable income to the account, what will it be worth at 65?
Question 2. How much would he need to contribute to have $5,000,000 at 65?
arrow_forward
Lisa plans to retire on her 61st birthday. On her 22nd birthday, Lisa will start saving $A per year for 40 years. Starting on her 62nd birthday, Lisa plans onwithdrawing $10,000 and will continue these annual withdrawals until the account is exhausted on her 85th birthday. If Lisa’s bank account pays 3% per year, what annual amount of $A will Lisa need to invest in her bank account to achieve her retirement goal?
arrow_forward
Draw a timeline in your notes to practice, then use the one below to help you! At the age of 44,
Parker just finished all the arrangements on his parents' estate. He is going to invest his
$80,000 inheritance at 5.5% compounded quarterly until he retires at age 55, and then wants
to receive end-of-quarter payments for the next 25 years. What are his quarterly annuity
payments during his retirement?
Age 44
Age 80
320 q
Age 55
today
44 q
45 q
319 q
IY = ?
$80,000
PMT
PMT
PMT
CY = ?
PV, = ?
FV,
n = ?
PV2
FV, = 0
n2 = ?
Select one:
O a. $4297
b. $2550
C.
$2657
d. $2694
arrow_forward
A friend is celebrating her birthday and wants to start saving for her anticipated retirement. She has the following years to retirement and retirement spending goals.
Years until retirement:
30
Amount to withdraw each year:
$120,000
Years to withdraw in retirement:
25
Interest rate:
7.5%
Because your friend is planning ahead, the first withdrawal will not take place until one year after she retires. She wants to make equal annual deposits into her account for her retirement fund.
Required:
If she starts making these deposits in one year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the desired withdrawals at retirement?
Suppose your friend just inherited a large sum of money. Rather than making equal annual payments, she decided to make one lump-sum deposit today to cover her retirement needs. What amount does she have to deposit today?
Suppose your friend’s employer will…
arrow_forward
Your best friend Samis in discussion with you about saving for his retirement.You areto advise him on how much he should deposit annually to meet his retirement needs. Assume that he will deposit a fixed annual amount for the next 20 years into a retirement savings account, starting one year from now. Sam has a son who will be attendingcollege and plans to make 5 withdrawals(starting one year after making his final deposit into the retirement account)of$35,000eachto pay for his annual tuition forthe following 5 years. Commercial Banks will be paying 6 percent on such retirement accountsfor the next 25 years. KindlyadviseSam on how much he should place in the account annually to cover his retirement needs.
arrow_forward
Need answer with explaination please.
Part- A) A senior engineer nearing retirement, which he plans to do on his 65th birthday, expects to be able to live from his retirement account by drawing $75,000 per year until his 85th birthday. He also hopes to be able to make a donation of $ 50,000 to his favorite charity on his 85th birthday.
His retirement account is invested at 4.5% per year.
How much money does ho need to have accumulated in his retirement account to be able to meet these goals?
Part - B) Assuming that the engineer described above had worked for 35 years. how much money should he have contributed annually to his pension plan each of these years in order to accumulate the amount need for retirement ?
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- Ms. Ieda Silva plans to retire in 28 years and expects to live for 25 years after retirement. She is preparing a savings plan to meet the following objectives. First, after retirement she would like to be able to withdraw $20,000 per month. The first withdrawal will occur at the end of the first month after retirement. Second, she would like to leave her son an inheritance of $500,000 when she passes on. Finally, she would like to set up a fund that will pay $15,000 per month forever to her favorite charity after she passes on. These payments to the charity will start one month after she passes on. All monies can earn 10 percent annual rate compounded monthly. How much will she have to save per month to meet these objectives? She wishes to make the first deposit a month from now and the last deposit on the day she retires. A.$983.24 B.$1,105.11 C.$1,550.51 D.$1,202.17 E.$603.38 F.$430.71 G.$1,014.02 H.$1,306.52arrow_forwardElijah James is in his early 30s and is thinking about opening an IRA. He can't decide whether to open a traditional/deductible IRA or a Roth IRA, so he turns to you for help. To support your explanation, you decide to run some comparative numbers on the two types of accounts; for starters, use a 30-year period to show Elijah what contributions of $5,000 per year will amount to (after 30 years) if he can earn, say, 10 percent on his money. Round your answers to the nearest dollar. 1A. traditional IRA $___1B. Roth IRA $ _____ Will the type of account he opens have any impact on this amount?-Select: YES OR NO Assuming that Elijah is in the 30 percent tax bracket (and will remain there for the next 30 years), determine the annual and total (over 30 years) tax savings he'll enjoy from the $5,000-a-year contributions to his IRA. Contrast the (annual and total) tax savings he'd generate from a traditional IRA with those from a Roth IRA. If an answer is zero, enter "0". Round your answers…arrow_forwardDaryl wishes to save money to provide for his retirement. He is now 30 years old and will be retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into a retirement savings account that will earn 12% compounded monthly. Then one year after making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12% compounded monthly. How much should the monthly deposits be for his retirement plan?arrow_forward
- Your best friend Sam is in discussion with you about saving for his retirement. You are to advise him on how much he should deposit annually to meet his retirement needs. Assume that he will deposit a fixed annual amount for the next 20 years into a retirement savings account, starting one year from now. Sam has a son who will be attending college and plans to make 5 withdrawals (starting one year after making his final deposit into the retirement account) of $35,500 to pay for his annual tuition for the following 5 years. Commercial Banks will be paying 6 percent on such retirement accounts for the next 25 years. Kindly advise Sam on how much he should place in the account annually to cover his retirement needs.arrow_forwardYour best friend Sam is in discussion with you about saving for his retirement. You are to advise him on how much he should deposit annually to meet his retirement needs. Assume that he will deposit a fixed annual amount for the next 20 years into a retirement savings account, starting one year from now. Sam has a son who will be attending college and plans to make 5 withdrawals (starting one year after making his final deposit into the retirement account) of $35,500 to pay for his annual tuition for the following 5 years. Commercial Banks will be paying 6 percent on such retirement accounts for the next 25 years. Kindly advise Sam on how much he should place in the account annually to cover his retirement needs. (Answer rounded to 2 decimal dollar)arrow_forwardElijah James is in his early 30s and is thinking about opening an IRA. He can't decide whether to open a traditional/deductible IRA or a Roth IRA, so he turns to you for help. To support your explanation, you decide to run some comparative numbers on the two types of accounts; for starters, use a 35-year period to show Elijah what contributions of $5,000 per year will amount to (after 35 years) if he can earn, say, 8 percent on his money. Round your answers to the nearest dollar. 1A. traditional IRA $______1B. Roth IRA $_______ Will the type of account he opens have any impact on this amount? Select: Yes or No 2. Assuming that Elijah is in the 25 percent tax bracket (and will remain there for the next 35 years), determine the annual and total (over 35 years) tax savings he'll enjoy from the $5,000-a-year contributions to his IRA. Contrast the (annual and total) tax savings he'd generate from a traditional IRA with those from a Roth IRA. If an answer is zero, enter "0". Round your…arrow_forward
- A 40-year-old woman decides to put funds into a retirement plan. She can save $3,000 a year and earn 7 percent on this savings. How much will she have accumulated if she retires at age 65? Use Appendix C to answer the question. Round your answer to the nearest dollar.$ At retirement how much can she withdraw each year for 25 years from the accumulated savings if the savings continue to earn 7 percent? Use Appendix D to answer the question. Round your answer to the nearest dollar.$ Appendix Carrow_forwardA client needs assistance with retirement planning. Here are the facts: The client, Dave, is 21 years old. He wants to retire at 65. Dave has disposable income of $2,000 per month. The IRA Dave has chosen has an average annual return of 8%. Question 1. If Dave contributes half of his disposable income to the account, what will it be worth at 65? Question 2. How much would he need to contribute to have $5,000,000 at 65?arrow_forwardLisa plans to retire on her 61st birthday. On her 22nd birthday, Lisa will start saving $A per year for 40 years. Starting on her 62nd birthday, Lisa plans onwithdrawing $10,000 and will continue these annual withdrawals until the account is exhausted on her 85th birthday. If Lisa’s bank account pays 3% per year, what annual amount of $A will Lisa need to invest in her bank account to achieve her retirement goal?arrow_forward
- Draw a timeline in your notes to practice, then use the one below to help you! At the age of 44, Parker just finished all the arrangements on his parents' estate. He is going to invest his $80,000 inheritance at 5.5% compounded quarterly until he retires at age 55, and then wants to receive end-of-quarter payments for the next 25 years. What are his quarterly annuity payments during his retirement? Age 44 Age 80 320 q Age 55 today 44 q 45 q 319 q IY = ? $80,000 PMT PMT PMT CY = ? PV, = ? FV, n = ? PV2 FV, = 0 n2 = ? Select one: O a. $4297 b. $2550 C. $2657 d. $2694arrow_forwardA friend is celebrating her birthday and wants to start saving for her anticipated retirement. She has the following years to retirement and retirement spending goals. Years until retirement: 30 Amount to withdraw each year: $120,000 Years to withdraw in retirement: 25 Interest rate: 7.5% Because your friend is planning ahead, the first withdrawal will not take place until one year after she retires. She wants to make equal annual deposits into her account for her retirement fund. Required: If she starts making these deposits in one year and makes her last deposit on the day she retires, what amount must she deposit annually to be able to make the desired withdrawals at retirement? Suppose your friend just inherited a large sum of money. Rather than making equal annual payments, she decided to make one lump-sum deposit today to cover her retirement needs. What amount does she have to deposit today? Suppose your friend’s employer will…arrow_forwardYour best friend Samis in discussion with you about saving for his retirement.You areto advise him on how much he should deposit annually to meet his retirement needs. Assume that he will deposit a fixed annual amount for the next 20 years into a retirement savings account, starting one year from now. Sam has a son who will be attendingcollege and plans to make 5 withdrawals(starting one year after making his final deposit into the retirement account)of$35,000eachto pay for his annual tuition forthe following 5 years. Commercial Banks will be paying 6 percent on such retirement accountsfor the next 25 years. KindlyadviseSam on how much he should place in the account annually to cover his retirement needs.arrow_forward
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