Mr$.$ Rajat Kapoor is a $30-$year$-$old, self$-$employed person who has been saving Rs$.30,000$ per year.

His savings earn him an interest of $8\%$ p$.$a$.$ He has been saving this amount since last $5$ years. He

is estimates that he will require Rs$.3,00,000$ p$.$a$.$ post retirement for $15$ years. He expects an

investment return of $6\%$ p$.$a$.$ during his retirement. Calculate his retirement corpus at $60?$ Will

this corpus be able to meet his post retirement expenses?

$2.$ Mr$.$ Murugan spends Rs$.3,60,000$ p$.$a$.$ to meet his annual living costs. He wishes to maintain the

same standard of living after retirement which will be after $15$ years. Inflation in the first $5$ years

is $5\%$ p$.$a$.$ and in the next $5$ years it will be $4\mathrm{.}5\%$ p$.$a$.$ while in the following $5$ years it will be $5\mathrm{.}5\%$

p$.$a$.$ Mr$.$ Murugan feels that at the age of $60$ most of his commitments such as children$$s education

and marriage will be fulfilled and therefore he requires only $75\%$ of the expenses from age $60$

onwards. How much will Mr$.$ Murugan require as expenses post retirement?

$3.$ Ms$.$ Jayeta Sen is $30$ years and plans to retire at $58$ years. She estimates that she will require

inflation adjusted Rs$.75,000$ p$.$m$.$ in the first month after retirement. Inflation is $4\%$ p$.$a$.$ and

Return on Investment is $6\%$ p$.$a$.$ What will be the corpus at the time of retirement in order to

meet this need? Will her corpus be enough to fund her retirement if she saves Rs$.2,00,000$ p$.$a$.$

Life expectancy is $75$ years.

$4.$ Mr$.$ Gopala $35$ years wants to retire at $60$; he has a life expectancy of $75$ years. Current expenses

are Rs$.3,00,000$ p$.$a$.$ He estimates no reduction in expenses post retirement. How much should

he save per annum to achieve his target, if inflation is $6\%$and yield from investment is $10\%.$ He

does not wish to leave an estate.