Harvey Spector has come to consult with you as his financial planner. Mr Spector is $40$ years old and is a partner at Pearson, Spector, Litt & Associates. His shares in the firm are currently worth R $5000000.$ He plans to retire at the age of $65.$ At retirement he intends to get a sell his shares and use the proceeds towards his retirement. He is expecting the business to grow at $7\%$ per annum. To make additional provisions for his retirement, Mr Spector purchase a retirement annuity and is currently contributing R$3000$ per month, the retirement annuity is currently valued at R$1500000.$ Assume the average long term growth rate of the RA fund is $10\%$ per annum and the inflation rate of $6\%$ per annum. Mr Spector has the following retirement needs: Mr Spector wishes to receive an annual income of R$600000$ in todays value during his retirement until the age of $80.$ He would like to purchase a new vehicle in todays value of R$250000$ Considering only the above information: $3\mathrm{.}1.$ Advise Mr Spector on the amount that he requires to fund these needs at retirement. $(4)3\mathrm{.}2.$ Advise Mr Spector on the total amount of funds that he will have available at retirement. $(6)$