Math, asked by vinayse74, 1 day ago

Suppose I want to be able to withdraw Rs. 5,000 at the end of five years and withdraw Rs. 6,000 at the end of six years, leaving a zero balance in the account after the last withdrawal. If I can earn 5% on my balances, how much must I deposit today to satisfy my withdrawals needs?​

Answers

Answered by biswasanupam204
0

Answer:

₹400 hope it is n... helpful

Answered by Manjula29
3

PV=FV ×[(1) ÷{(1+r)ⁿ}]

PV = present value

FV = future value

r = rate of return

{n} = number of periods

In first case :-

FV = 5000/

Interest per year = 5%

number of years = 5years

∴ PV ==FV × [(1) ÷{(1+r)ⁿ}]

         = 5000 × [{1} ÷ {(1+ 5%)⁵]

         =5000×(1/ 1.276281)

         = 3917.63/

In second case :-

FV= 6000/

Interest per year = 5%

number of years = 6 year.

∴ PV ==FV × [(1) ÷{(1+r)ⁿ}]

              = 6000 × [{1} ÷ {(1+ 5%)⁶]

              = 6000 ×( 1/1.340095)

              =4477.29/

Total PV = (391`7.63/) + (4477.29/)

                = 8394.92/

Hence  8394.92/ should be deposited that day to satisfy withdrawals needs.

Ans:- Rupees  8394.92 should be deposited that day to satisfy withdrawals needs.

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