Accounts or retirement corpus fund question.

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Deal Lieutenant
still_guessing

Neha would retire 30 years from today and she would need INR 6,00,000 per year after her retirement, with the first retirement funds withdrawn one year from the day she retires. Assume a return of 7% per annum on her retirement funds and if her planning is for 25 years after retirement, Calculate
A. How much lumpsum she should deposit in her account today so that she has enough funds for retirement.
b. How much she should deposit each year so that she has enough funds for retirement.

Thanks.

Someone studying send me this question..and i don’t have a good answer.

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Deal Lieutenant Deal Lieutenant
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I calculated using excel and answers are (A) 982837 (B) 74022 per year
Are these answers correct?

Patron Patron
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Correct.

My answers
A = Rs.982836
B = Rs.74021 when savings deposited at beginning of each year
B = Rs.79203 when savings deposited at ending of each year

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Deal Cadet Deal Cadet
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I am @still_guessing

Deal Lieutenant Deal Lieutenant
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..Bro i dont know the answers….

I would like to help him…can u plz send me how to do this question plz..

Deal Subedar Deal Subedar
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You can find many retirement calculators online which can be used to validate the answers.

Patron Patron
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Let the amount required at the start of Neha’s retirement P. At first we have to  find out the value of P.

Inorder to calculate the value of P, we can consider this P as a credit to be paid by yearly installment and the first 6L withdrawn at the beginning of 1st year as down payment and upcoming 6L withdrawals as equated installment amount. Then by using installment formula/concept we can find P value.

A) A value at 7% CI, in 30 years should become P. According to that we can find value of A

B) Again you have to find yearly installment for 30 years to achieve P amount. (If service period and retirement period is same then finding value of B is lot easier i.e
600000*(100/107)^n n-service or retirement time period)

Deal Subedar Deal Subedar
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Neha should change her job currently and go for higher ctc jump..
Problem solved

Community Angel Community Angel
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@Time_pass

Deal Subedar Deal Subedar
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OP has asked genuine question. I didn’t know that she is so much educated ☹️

CC: Dr. @saucap aka Dr. Neha 🧐🧐

Deal Newbie Deal Newbie
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Neha would retire 30 years from today and she would need ₹ 6,00,000 per year after her retirement, with the first retirement funds withdrawn one year from the day she retires. Assume a return of 7% per annum on her retirement funds and if her planning is for 25 years after retirement, Calculate:
a. How much lumpsum she should deposit in her account today so that she has enough funds for retirement? (5 Marks)
b. How much she should deposit each year so that she has enough funds for retirement? (5 Marks)

Deal Newbie Deal Newbie
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Can someone help me to get entire calculation in accounting way as looking with complete solve answer? plz

Deal Newbie Deal Newbie
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Hello

Can you solve this in accounting way and share you answer sheet plz?

Deal Newbie Deal Newbie
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a) Cash PV annuity factor = (1 – (1/(1+r)^n))/r
= (1 – (1/(1+0.07)^25))/0.07
= (1 – (1/(1.07)^25)/0.07
= (1 – (1/5.427)/0.07
= (1 – 0.1842)/0.07
= 0.81574/0.07
= 11.6534

PV (annuity) with payment of Rs. 600000 = 600000*11.6534
= Rs. 6992024

b) FV annuity factor = ((1+r)^n- 1)/r
= ((1+0.07)^30- 1)/0.07
= ((1.07)^30- 1)/0.07
= (7.6122-1)/0.07
= 6.6122/0.07
= 94.46

A = PV (annuity)/ FV annuity factor
= 6992024/94.46
= Rs. 74021 per year

Deal Newbie Deal Newbie
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Not able understand your formula. Can u explain bit of it.. how u considered everything.

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Deal Subedar Deal Subedar
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Agree with the above posted numbers but op please keep inflation in mind.

Deal Newbie Deal Newbie
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Can you pls tell me what formula did you use to get (A)?

Analyst Analyst
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monthly expense 50k
age 30
retirement age 60
life expecancy 70
inflation 3%-4%
existing investments 10 lacs (can vary, but took lowest)
amount required on retirement around 70 lacs (more age expectancy, more amount, more savings required)
monthly savings required at conservative rate 7% around 13500
if future medical expenses added monthly savings becomes 20000
if someone wishing world tour on retirement monthly savings will become 30000

do note, 7% won’t be there after 10 years so one has to be in risky assets in young age and slowly move to conservative assets like pf and fd.

Deal Newbie Deal Newbie
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My Question is simple, which one of this is correct for (A) 982837 or 6992024?

Deal Newbie Deal Newbie
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@micke , Thanks for sharing, can you pls tell which formula you used for getting A?

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