$1-$Shalini decides to accumulate Rs$.50$ lakhs when she retires. She is $30$ years old and wishes to

retire at $55.$ Interest rate is $9\%$p$.$a$.$ and Inflation is $5\%$p$.$a$.$ If she could save $45000$ p$.$a$.$ for the first

$10$ years, how much does she need to save for the next $15$ years to meet her retirement nest egg.

$2-$ Sheetal received inheritance of Rs$.2,50,000,$ wants to withdraw equal amounts each year for the

next $7$ years at $10\%$ p$.$a$.$ compounded monthly. What amount she should start withdrawing per

month?

$3-$ Alok is $40$ years old to retire at $65.$ Life expectancy is $75$ years. He will require Rs$.15,000$ in first

month after retirement. Inflation is $4\%$p$.$a$.$; rate of return is $7\%$ p$.$a$.$ What is the corpus required

to meet the expenses after retirement? Will the corpus be enough to meet his requirement if he

saves up to Rs$.30,000$ p$.$a$.?$

$4-$ Dhoni wants to retire at $45$ and he wants to maintain his present standard of living. He spends

$325000$ a year. He is expected to live up to $85.$ Inflation $4\%$ expected return $7\%$ pa$.$ How can he

achieve this? He is at present $30$ yr$.$ What is the nest egg required at age $45$ and what amount

shall he save every year to meet this plan? His present investment is Rs$.10,00,000.$