MATH201 W3 It's All About The Benjamins AssignmentCHill
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Finance
Date
Jan 9, 2024
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It's All About the Benjamins!
You and your co-worker Benjamin have both just turned 22 and are having dinner to celebrat
saving for retirement.
Your company offers an invesment portfolio that has historically earne
semi-annually.
You both decide to invest in this portfolio, but you have different investment
Benjamin plans to start immediately.
He has decided to invest a certain amount of money an
point, Benjamin will stop investing in the account and will let the money grow until he turns 6
You decide you'd rather wait until you are in a better place financially, so you are not going to
You will invest the same annual amount as Benjamin and plan to invest that amount every ye
You and Benjamin make a friendly bet to see who will have more money in their retirement a
Part I
p =
$
10,000.00
Part II
How much does Benjamin have in his account after 1 year?
Use the compound interest form
P= 10,000
r= 11%=0.11 10(1+0.11)/1
A= 11,000
Part III
Review the two tables below which calculate the amount of money you and Benjamin will ea
stick to your investment strategies.
Note:
The two tables below have populated automatically based on the annual amount of m
Choose an amount between
$1,000 and $10,000 for p, the
annual amount of money invested
by both you and Benjamin. Enter
the chosen amount in the green
box.
an interest rate of 11% per year, compounded semi-annually until age 65.
BENJAMIN
Age
Annual InvestmentBen's Total Value
Age
22
$
10,000 $
11,130
22
23
$
10,000 $
23,518
23
24
$
10,000 $
37,307
24
25
$
10,000 $
52,654
25
26
$
10,000 $
69,735
26
27
$
10,000 $
88,747
27
28
$
10,000 $
109,908
28
29
$
10,000 $
133,461
29
30
$
-
$
148,545
30
31
$
-
$
165,335
31
32
$
-
$
184,022
32
33
$
-
$
204,821
33
34
$
-
$
227,970
34
35
$
-
$
253,737
35
36
$
-
$
282,415
36
37
$
-
$
314,335
37
38
$
-
$
349,863
38
39
$
-
$
389,406
39
40
$
-
$
433,419
40
41
$
-
$
482,406
41
42
$
-
$
536,930
42
43
$
-
$
597,617
43
44
$
-
$
665,162
44
45
$
-
$
740,342
45
46
$
-
$
824,020
46
47
$
-
$
917,154
47
48
$
-
$
1,020,816
48
49
$
-
$
1,136,193
49
50
$
-
$
1,264,612
50
51
$
-
$
1,407,544
51
52
$
-
$
1,566,632
52
53
$
-
$
1,743,701
53
54
$
-
$
1,940,783
54
55
$
-
$
2,160,139
55
56
$
-
$
2,404,289
56
57
$
-
$
2,676,034
57
58
$
-
$
2,978,493
58
59
$
-
$
3,315,137
59
60
$
-
$
3,689,830
60
61
$
-
$
4,106,873
61
62
$
-
$
4,571,053
62
63
$
-
$
5,087,696
63
64
$
-
$
5,662,733
64
65
$
-
$
6,302,763
65
Part IV
Your age, Ben's Account Value and Your Account Value are provided
here.
Age
Ben's Total Value
Your Total Value
Paste Your graph I
22
$
11,130 $
-
23
$
23,518 $
-
24
$
37,307 $
-
25
$
52,654 $
-
26
$
69,735 $
-
27
$
88,747 $
-
28
$
109,908 $
-
29
$
133,461 $
-
30
$
148,545 $
11,130
31
$
165,335 $
23,518
32
$
184,022 $
37,307
33
$
204,821 $
52,654
34
$
227,970 $
69,735
35
$
253,737 $
88,747
36
$
282,415 $
109,908
37
$
314,335 $
133,461
38
$
349,863 $
159,676
39
$
389,406 $
188,853
40
$
433,419 $
221,328
41
$
482,406 $
257,474
42
$
536,930 $
297,706
43
$
597,617 $
342,484
Create an
Excel
graph
using the data below to provide
a visual representation of the data usin
You will need to select all data below (blue cells). Then, click on the
Insert
tab at the top of th
line graph from the
Recommended Charts
section. If you need assistance with Excel, explore
Excel For Windows Training
22
24
26
28
30
32
34
3
$-
$1,000,000
$2,000,000
$3,000,000
$4,000,000
$5,000,000
$6,000,000
$7,000,000
A
Ben's
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Related Questions
It's All About the Benjamins!
3 You and your co-worker Benjamin have both just turned 22 and are having dinner to celebrate. You begin talking about
4 saving for retirement. Your company offers an invesment portfolio that has historically earned 11% interest, compounded
5 semi-annually. You both decide to invest in this portfolio, but you have different investment strategies.
6
7 Benjamin plans to start immediately. He has decided to invest a certain amount of money annually for exactly 8 years. At that
point, Benjamin will stop investing in the account and will let the money grow until he turns 65.
8
9
10 You decide you'd rather wait until you are in a better place financially, so you are not going to begin investing until age 30.
11 You will invest the same annual amount as Benjamin and plan to invest that amount every year until you reach age 65.
12
13 You and Benjamin make a friendly bet to see who will have more money in their retirement account at age 65!
14
15 Part I
16
Choose…
arrow_forward
Please show working.
Please answer a, b, and c
Your client is 35 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $7,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 8% in the future.
a. If she follows your advice, how much money will she have at 65? Do not round intermediate calculations. Round your answer to the nearest cent. $ _________
b. How much will she have at 70? Do not round intermediate calculations. Round your answer to the nearest cent. $ ________
c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Do not round intermediate calculations. Round your answers to the nearest cent.
Annual withdrawals if she retires at 65: $ ____________
Annual…
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You are a young urban professional in your late 20’s and want to save up for your wedding and other life milestones. You decide to invest one million USD at the start of the year in a financial instrument that gives 10,000 every June 30 and an undisclosed amount every December 31. The amount to be given is undisclosed because it will depend on the performance of the financial instrument in the market. You intend not to withdraw this investment until you die.
Assuming an MARR of 9% per semi-annual, compounded semi-annually, compute for the minimum acceptable value X to be paid every December 31.
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Your client, Tom, has come to you inquiring about retirement. He
wants to know approximately how much (in future dollars) he
will need to have saved by retirement. You have calculated that
he will need about $182,365 a year to maintain his current life
style. He expects to retire at age 64 and live to around 90, and
his return on investment averages at 9%. Estimated average
inflation is 3%. How much does Tom need to have on day 1 of
retirement to meet this goal?
O $1,987,422
O $2,127,937
O $2,662,389
O $2,552,815
arrow_forward
You are just starting your first job out of
college. You and your best friend are
competing to see who will have more in
their savings when you retire; you both
plan to retire at age 52, just 30 years out.
You will need $5 million to retire. If you
average an annual return of 7% on your
investment, how much do you need to
put into retirement savings on an annual
basis?
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Assume that you have just turned 21, are graduating from college, and are planning for your
retirement; at age 55. You currently have no money saved, but plan to make significant
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you will only be able to invest $2,000 on your 22nd and 23rd birthdays (2 payments). You then
expect to invest $10,000 each year on your 24th through your 30th birthdays (7 payments),
$20,000 each year on your 31st through 40th birthdays (10 payments), and $30,000 each year
on your 41st through 55th birthdays (15 payments). During this 34-year period you are willing
to take some investment risks and you believe that your investment account can earn a
nominal annual rate of return of 9 percent, compounded monthly. At age 55 you plan to
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$1,420,649
$1,230,765
$997,472
$1,103,344
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Required:
(a) If your aunt accepted your proposal, how much would she be willing to lend you today?
(b) How much would your aunt have in four (4) years if she chooses not to lend you the money?
(c) How much would your aunt have in four (4) years if she chooses to lend you the money?
(d) Based on your calculations in…
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You have just graduated, are dead broke, but would still like to buy a new car so that you can show it off on Instagram. Your rich Aunt Amy, who is a retired investment banker at the age of 35 because she knew better, is willing to lend you the money to buy the car, as long as you promise to pay her back in four years. You propose to pay her the rate of interest she would otherwise get by putting the money in the bank, which has deposit and loan rates of 2% and 6%, respectively. Based on your projected income and living expenses, you anticipate that you will be able to pay her $30,000, $40,000, $45,000, and $50,000 at the end of each of the next four years, respectively.
(a) If your aunt accepted your proposal, how much would she be willing to lend you today?
(b) How much would your aunt have in four (4) years if she chooses not to lend you the money?
(c) How much would your aunt have in four (4) years if she chooses to lend you the money?
(d) Based on your calculations in…
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1)
In a few short years, you will graduate and enter the workforce. Let us suppose that you
and a friend both start working at the age of 23 and decide on very different ways to fund
your eventual retirement. In this exercise, we explore these decisions.
Neither of you have any savings (P = 0), plan to retire at age 66, and expect to earn
8.4% annual interest, compounded monthly, on all your investments.
a) Having taken this class, you decide to start immediately, investing $120 per month.
How much money will be in your account in 20 years?
b) At this point (you are now 43 years old), you will stop making monthly deposits into your
account. Now, the amount you calculated in part (a) will accumulate interest for 23 years
(until you are 66 years old). How much is in your account now?
Indicoob selled
pham
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immediately after making your last $6,000 investment.
a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing $6,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be?
c. If you hope to live for 18 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 18th withdrawal (assume your savings will continue to
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d. If, instead, you decide to withdraw $100,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take…
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State of Nature
Alternatives
Good Economy
Fair Economy
Poor Economy
Mutual Fund
800800
650650
320320
Stock Market
5,5005,500
4,7004,700
3,1003,100
CDs
1,7001,700
870870
670670
Bonds
550550
320320
185185
Step 2 of 2 :
What is Monique’s potential payoff based on the the Hurwicz Criterion strategy and an α=0.45α=0.45?
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per year with the first investment made one year from now. You think you can earn
7.0%
per year on your investments and you plan to retire in
29
years, immediately after making your last
$4,000
investment.
a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing
$4,000
per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be?
c. If you hope to live for
28
years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the
28th
withdrawal (assume your savings will continue to earn
7.0%
in retirement)?
d. If, instead, you decide to withdraw
$70,000
per year in retirement (again with the first withdrawal one year after retiring), how…
arrow_forward
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you can earn 6.0% per year on your investments and you plan to retire in 45 years, immediately after making your last $4,500 investment.
a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing $4,500 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving,
how much would that lump sum need to be?
c. If you hope to live for 16 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just
exhaust your savings with the 16th withdrawal (assume your savings will continue to earn 6.0% in retirement)?
d. If, instead, you decide to withdraw $191,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…
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Vijay
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You graduate from college and get your first job. You open a Roth IRA with $2,000 at the age of 25. You invest $3,000 at age 26, $4,000 at age 27, and $5,000 at age 28. You then receive a promotion that brings your incometo a level that disqualified you from making further contributions to the Roth IRA. Construct a table that shows how much will you have in your IRA at the age of 60 if you had invested in an account that paid an averageyield of 8 percent.
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Your client is 26 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $4,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 12% in the future.
If she follows your advice, how much money will she have at 65? Do not round intermediate calculations. Round your answer to the nearest cent.
$
How much will she have at 70? Do not round intermediate calculations. Round your answer to the nearest cent.
$
She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Do not round intermediate calculations. Round your answers to the nearest cent.
Annual withdrawals if she retires at 65: $
Annual withdrawals if she retires at 70: $
arrow_forward
Your client is 26 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $8,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 10% in the future.
A. If she follows your advice, how much money will she have at 65?
B. How much will she have at 70?
arrow_forward
Waiting
period.
Susan Norman seeks your financial advice. She wants to know how long it will take her to become a millionaire. She tells you that she has
$1,675
today and wants to invest it in an aggressive stock portfolio. The historical return on this type of investment is
19%
per year. How long will she have to wait if the
$1,675
is the only amount she invests and she never withdraws from the market until she reaches her $1 million? (Assume no taxes on the earnings.) What if the rate of return is only
17%
annually? What if the rate of return is only
8%
annually?
How long will Susan have to wait to become a millionaire if she invests
$1,675
today at an annual rate of return of
19%?
nothing
years (Round to two decimal places.)
How long will Susan have to wait to become a millionaire if she invests
$1,675
today at an annual rate of return of
17%?
nothing
years (Round to two decimal places.)
How long will Susan have to wait to become a millionaire if she…
arrow_forward
You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first
investment made one year from now. You think you can earn 10.5% per year on your investments and you plan to retire
in 36 years, immediately after making your last $4,000 investment.
a. How much will you have in your retirement account on the day you retire?
b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that
will result in the same retirement saving, how much would that lump sum need to be?
c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year
after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to
earn 10.5% in retirement)?
d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after
retiring), how many years will it…
arrow_forward
Your client is 29 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $15,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of
8% in the future.
a. If she follows your advice, how much money will she have at 65? Do not round Intermediate calculations. Round your answer to the nearest cent.
$
b. How much will she have at 70? Do not round Intermediate calculations. Round your answer to the nearest cent.
$
c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age?
Do not round Intermediate calculations. Round your answers to the nearest cent.
Annual withdrawals if she retires at 65: $
Annual withdrawals if she retires at 70: $
arrow_forward
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Related Questions
- It's All About the Benjamins! 3 You and your co-worker Benjamin have both just turned 22 and are having dinner to celebrate. You begin talking about 4 saving for retirement. Your company offers an invesment portfolio that has historically earned 11% interest, compounded 5 semi-annually. You both decide to invest in this portfolio, but you have different investment strategies. 6 7 Benjamin plans to start immediately. He has decided to invest a certain amount of money annually for exactly 8 years. At that point, Benjamin will stop investing in the account and will let the money grow until he turns 65. 8 9 10 You decide you'd rather wait until you are in a better place financially, so you are not going to begin investing until age 30. 11 You will invest the same annual amount as Benjamin and plan to invest that amount every year until you reach age 65. 12 13 You and Benjamin make a friendly bet to see who will have more money in their retirement account at age 65! 14 15 Part I 16 Choose…arrow_forwardPlease show working. Please answer a, b, and c Your client is 35 years old. She wants to begin saving for retirement, with the first payment to come one year from now. She can save $7,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 8% in the future. a. If she follows your advice, how much money will she have at 65? Do not round intermediate calculations. Round your answer to the nearest cent. $ _________ b. How much will she have at 70? Do not round intermediate calculations. Round your answer to the nearest cent. $ ________ c. She expects to live for 20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Do not round intermediate calculations. Round your answers to the nearest cent. Annual withdrawals if she retires at 65: $ ____________ Annual…arrow_forwardYou are a young urban professional in your late 20’s and want to save up for your wedding and other life milestones. You decide to invest one million USD at the start of the year in a financial instrument that gives 10,000 every June 30 and an undisclosed amount every December 31. The amount to be given is undisclosed because it will depend on the performance of the financial instrument in the market. You intend not to withdraw this investment until you die. Assuming an MARR of 9% per semi-annual, compounded semi-annually, compute for the minimum acceptable value X to be paid every December 31.arrow_forward
- Your client, Tom, has come to you inquiring about retirement. He wants to know approximately how much (in future dollars) he will need to have saved by retirement. You have calculated that he will need about $182,365 a year to maintain his current life style. He expects to retire at age 64 and live to around 90, and his return on investment averages at 9%. Estimated average inflation is 3%. How much does Tom need to have on day 1 of retirement to meet this goal? O $1,987,422 O $2,127,937 O $2,662,389 O $2,552,815arrow_forwardYou are just starting your first job out of college. You and your best friend are competing to see who will have more in their savings when you retire; you both plan to retire at age 52, just 30 years out. You will need $5 million to retire. If you average an annual return of 7% on your investment, how much do you need to put into retirement savings on an annual basis?arrow_forwardAssume that you have just turned 21, are graduating from college, and are planning for your retirement; at age 55. You currently have no money saved, but plan to make significant investments into a retirement account now that you have gotten a high-paying job. Because of moving and additional expenses associated with the start of your new job, you believe that you will only be able to invest $2,000 on your 22nd and 23rd birthdays (2 payments). You then expect to invest $10,000 each year on your 24th through your 30th birthdays (7 payments), $20,000 each year on your 31st through 40th birthdays (10 payments), and $30,000 each year on your 41st through 55th birthdays (15 payments). During this 34-year period you are willing to take some investment risks and you believe that your investment account can earn a nominal annual rate of return of 9 percent, compounded monthly. At age 55 you plan to retire and will use the money in your investment account to buy a 40-year, guaranteed annuity…arrow_forward
- You have heard about the impending retirement crisis facing the global community and you want to take action so you don't become a victim of this crisis. You have decided to start contributing a constant amount of $380 into your retirement account every month, beginning one month from today. You plan to keep making that same monthly contribution for 40 years and then you will retire. If your investments earn a rate of return of 7.74 percent, how much do you expect to be in your retirement account the day you retire? $1,420,649 $1,230,765 $997,472 $1,103,344arrow_forwardYou have just graduated, are dead broke, but would still like to buy a new car so that you can show it off on Instagram. Your rich Aunt Amy, who is a retired investment banker at the age of 35 because she knew better, is willing to lend you the money to buy the car, as long as you promise to pay her back in four years. You propose to pay her the rate of interest she would otherwise get by putting the money in the bank, which has deposit and loan rates of 2% and 6%, respectively. Based on your projected income and living expenses, you anticipate that you will be able to pay her $30,000, $40,000, $45,000, and $50,000 at the end of each of the next four years, respectively. Required: (a) If your aunt accepted your proposal, how much would she be willing to lend you today? (b) How much would your aunt have in four (4) years if she chooses not to lend you the money? (c) How much would your aunt have in four (4) years if she chooses to lend you the money? (d) Based on your calculations in…arrow_forwardYou have just graduated, are dead broke, but would still like to buy a new car so that you can show it off on Instagram. Your rich Aunt Amy, who is a retired investment banker at the age of 35 because she knew better, is willing to lend you the money to buy the car, as long as you promise to pay her back in four years. You propose to pay her the rate of interest she would otherwise get by putting the money in the bank, which has deposit and loan rates of 2% and 6%, respectively. Based on your projected income and living expenses, you anticipate that you will be able to pay her $30,000, $40,000, $45,000, and $50,000 at the end of each of the next four years, respectively. (a) If your aunt accepted your proposal, how much would she be willing to lend you today? (b) How much would your aunt have in four (4) years if she chooses not to lend you the money? (c) How much would your aunt have in four (4) years if she chooses to lend you the money? (d) Based on your calculations in…arrow_forward
- 1) In a few short years, you will graduate and enter the workforce. Let us suppose that you and a friend both start working at the age of 23 and decide on very different ways to fund your eventual retirement. In this exercise, we explore these decisions. Neither of you have any savings (P = 0), plan to retire at age 66, and expect to earn 8.4% annual interest, compounded monthly, on all your investments. a) Having taken this class, you decide to start immediately, investing $120 per month. How much money will be in your account in 20 years? b) At this point (you are now 43 years old), you will stop making monthly deposits into your account. Now, the amount you calculated in part (a) will accumulate interest for 23 years (until you are 66 years old). How much is in your account now? Indicoob selled phamarrow_forwardYou are trying to decide how much to save for retirement. Assume you plan to save $6,000 per year with the first investment made one year from now. You think you can earn 6% per year on your investments and you plan to retire in 43 years, immediately after making your last $6,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $6,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 18 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 18th withdrawal (assume your savings will continue to earn 6% in retirement)? d. If, instead, you decide to withdraw $100,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take…arrow_forwardAs an investment advisor, you have been approached by a client called Ramesh, who wants some help in investment related matters. Ramesh is currently 45 years old and has Rs 600,000 in the bank. He plans to work for 15 more years and retire at the age of 60. Ramesh's present salary is Rs 400,000 per year. He expects his salary to increase at the rate of 12 percent per year until his retirement. Ramesh has decided to invest his bank balance and future savings in a portfolio in which stocks and bonds would be equally weighted. For the sake of simplicity, assume that these proportions will be maintained by him throughout. He also believes that bonds would provide a return of 7 percent and stocks a return of 13 percent. You concur with his assessment. Once Ramesh retires at the age of 60 he would like to withdraw Rs 500,000 per year from his investments for the following 15 years as he expects to live upto the age of 75 years. He also wants to bequeath Rs 1,000,000 to his children…arrow_forward
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