Case Study - Retirement Planning John is a 30 -year-old professional planning for his retirement. He wants to assess the financial impact of different investment scenarios. He's considering investing a lump sum amount and wants to compare two options: Option A: Invest R50,000 today for 30 years. Option B: Invest R5,000 per year for 30 years. Required: 4.1 John's expected annual interest rate is 6%. Help John evaluate both investment options using present (18 Marks) value (PV) and future value (FV) calculations. Calculate and compare the following for each option: - The Future Value (FV) of the investment at the end of 30 years. - The Present Value (PV) of the investment (if applicable). 4.2 You plan to buy a house worth R500,000, and you currently have R100,000 saved for this goal. If you can (7 Marks) invest your savings at an annual interest rate of 6%, how long will it take for your savings to grow to the required R500,000 for purchasing the house