mily 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 wedding date two years in the future, after he 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 fund 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 401(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 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.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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 wedding date two years in the future, after he 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 fund left to her as an inheritance by her late grandfather. Her trust fund has $80,000 invested at an interest rate of 5%.  

  1. Justify Emily’s participation in her employer’s 401(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 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.
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