2. The stock market may average around a 10% annual rate each year, but it can vary greatly at any given time. In each of 4 scenarios a-d, you deposit $100 per month for 30 years, and the average over 30 years is 10%. Compute the future values for each scenario and determine which results in the highest amount a) The return rate stays at 10% for all 30 years b) The return rate starts at 5% for the first 10 years, increases to 10% for the next 10 years, and then increases to 15% for the last 10 years. c) The return rate starts at 15% for the first 10 years, decreases to 5% for the next 10 years, and then increases to 10% for the last 10 years. d) The return rate starts at 15% for the first 10 years, decreases to 10% for the next 10 years, and then decreases to 5% for the last 10 years. e) Which scenario yields the highest return? f) Based on which scenario turned out best, when is the best time to have a higher return rate: at the beginning or end of the investment? 2. The stock market may average around a 10% annual rate each year, but it can vary greatly at any given time. In each of 4 scenarios a-d, you deposit $100 per month for 30 years, and the average over 30 years is 10%. Compute the future values for each scenario and determine which results in the highest amount a) The return rate stays at 10% for all 30 years b) The return rate starts at 5% for the first 10 years, increases to 10% for the next 10 years, and then increases to 15% for the last 10 years. c) The return rate starts at 15% for the first 10 years, decreases to 5% for the next 10 years, and then increases to 10% for the last 10 years. d) The return rate starts at 15% for the first 10 years, decreases to 10% for the next 10 years, and then decreases to 5% for the last 10 years. e) Which scenario yields the highest return? f) Based on which scenario turned out best, when is the best time to have a higher return rate: at the beginning or end of the investment