Emily Smith just received a promotion at work that increased her annual salary to $42,000. 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 $10,000 down payment on the car and finance the balance. Fortunately, she expects a 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 ...view middle of the document...
She will contribute $1,000 per year to her 401(k) for 25 years and the employer will match dollar for dollar. Assume that her 401(k) earns 6% per year for 25 years and all contributions are made at the end of each year.
2. Calculate the amount of money that Emily needs to set aside from her bonus this year to cover the down payment on a new car, assuming she can earn 4% on her savings. What if she could earn 10% on her savings?
3. What will be the value of Emily’s trust fund in 36 years, assuming she takes possession of $20,000 in 2 years for her wedding, and leaves the remaining amount of money untouched where it is currently invested?
4. Suggest at least two conditions that Emily and Paul could take to accumulate more for their retirement.
5. Suppose that Emily and Paul purchase a $200,000 home in 5 years and make $40,000 down payment immediately. Find the monthly mortgage payment assuming that the remaining balance is financed at a 3% fixed rate for 15 years. What if its mortgage term is 30 years?
6. What can you conclude about the relationship between the mortgage term and the amount of the monthly payment? From Question 5, is the monthly payment with the 30-year term half as large as the monthly payment with the 15-year term? Explain.