Damelin

$3\mathrm{.}3\mathrm{.}1$ Suppose that Munya decides to invest the same amount above of R$500000$ for $10\%$ per annum with interest being compounded quarterly for a period of $10$ years. How much will have accumulated at the end of $10$ years.

$[5]$

$3\mathrm{.}4\mathrm{.}1$ Lerato based in KK Block in Soshanguve expects to receive R$500000$ in $5$ years' time now from her brother Itumeleng as part of her profit sharing from their business they operate in Rustenburg in Northwest. The current rate of interest is $20\%$ per annum compounded annually.

Required.

Calculate the Present Value on the amount expected to be received by Lerato $.[5]$

$3\mathrm{.}5$ Chelzia has made a plan to invest R$100000$ at the end of each year for the next $10$ years at an interest rate of $20\%$ per annum compounded semi$-$annually. How much will be the value of the investment after $10$ years.

$[5]$

$3\mathrm{.}6$ Oamogetswe a young business entrepreneur in Gauteng had decided that in $5$ years' time she needs to take her sister Keneilwe to holiday in New York in USA. The amount she needs in $5$ a years time is R$400000.$ Calculate the amount she needs to invest today at $20\%$ per annum compounded annually.

$[5]$

$3\mathrm{.}7$ An investor pays equal instalments of R$10000$ at the end of each year into a savings account yielding an interest rate of $12\%$ per year, compounded annually. What is the future value of the investment at the end of three years?

$[5]$