Emily Smith just received a promotion at work that increased her annual salary to 542.000. She is eligible to participate in her employer's 401(k) retirement plan to which the employer matches, dollar for dollar, workers contributions up to 5% of salary. However. Emily wants to buy a new $25,000 car in 3 years, and she wants to have enough money to make a SI0.000 down payment on the car and finance the balance. Fortunately, she expects sizable bonus this year that she hopes will cover that down payment in 3 years. A wedding is also in her plans. Emily and her boyfriend. Paul, have set a wedding dare two years in the future, after the finishes medical school. In addition. Emily and Paul want to buy a home of their own in 5 years. This might be possible because two years later. Emily will be eligible to access a trust hind left to her as an inheritance by her late grandfather Her trust fund has $80,000 invested at an interest rate of 5%. Justify Emily's participation in her employer's 40(k) plan using the time value of money concepts by calculating the actual annual return on her own contributions she will contribute 1,000 per year to her 401(k) for 25 years and the employer will match dollar tor dollar. Assume that her 401(k) earns 6% per year for 25 years and all contributions are made at the end of each year