Sarah is interested in saving money for her first apartment. She currently has $10,000 saved from working part-time at University. Now that she has graduated, Sarah's plan is to make regular deposits into a non-registered brokerage account which will earn 8% p.a. after tax. Her new job earns her an after-tax salary of $50,000 per year and Sarah will deposit 10% of her salary at the end of each year. Her after-tax salary is expected to increase each year at 4% p.a. The deposit she needs for her apartment is currently $120,000. However, apartment prices in her neighborhood are increasing at 5% p.a.

1. How much will Sarah have saved for a house 6 years from now?
2. How much deposit will Sarah need for a deposit on her house 6 years from now? Will she meet her goal?
3. Sarah's parents will help her save for her house by matching her contributions 1 for 1 (e.g. give 1 dollar for every 1 dollar she saves). What percentage of her after-tax salary should Sarah save to reach have a deposit for her house in 6 years?