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Martina’s employer offers an annual pension benefit calculated by multiplying 2.35% of the career average salary times the number of years employed. Here are Martina’s annual salaries over the last 24 years of employment. 28,800 29,300 30,250 31,000 35,500 42,000 45,000 50,000 28,800 29,900 30,350 35,000 35,700 43,000 48,000 52,000 29,210 29,900 30,450 35,000 38,000 43,900 48,800 52,000 a. What is Martina’s career average salary? b. What is Martina’s annual pension under this plan? c. What percentage of her final annual salary will her annual retirement salary be to the nearest percent? d. What is Martina’s monthly pension benefit to the nearest penny?

Short Answer

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The answers are: a) Martina's career average salary (calculated in Step 1), b) Martina's annual pension (calculated in Step 2), c) The percentage of her final annual salary that her annual retirement salary will be (calculated in Step 3), d) Martina’s monthly pension benefit (calculated in Step 4).

Step by step solution

01

Calculate Martina’s career average salary

To find the career average salary, add up all the annual salaries and divide by the total number of salaries, which in this case is 24. So, calculate \((28800 + 29300 + 30250 + 31000 + 35500 + 42000 + 45000 + 50000 + 28800 + 29900 + 30350 + 35000 + 35700 + 43000 + 48000 + 52000 + 29210 + 29900 + 30450 + 35000 + 38000 + 43900 + 48800 + 52000) \div 24\)
02

Calculate Martina’s annual pension

To calculate the annual pension, multiply the career average salary from Step 1 by 2.35% and then multiply by the number of years employed, which is 24. So, calculate \( career \, average \, salary \, \times 0.0235 \times 24 \)
03

Determine the percentage of her final annual salary that her annual retirement salary will be

To find the percentage of the final salary that the retirement salary will be, divide the annual pension from Step 2 by the final annual salary (which is $52,000) and multiply by 100. So, calculate \( annual \, pension \div 52000 \times 100\)
04

Calculate Martina’s monthly pension benefit

To calculate the monthly pension benefit, divide the annual pension from Step 2 by 12. So, calculate \( annual \, pension \div 12 \)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Career Average Salary
Understanding how to calculate a career average salary is crucial for anyone engaging in retirement planning. This salary is simply the average of all the annual salaries an individual has earned over their employment period. To find Martina's career average salary, we add up all the listed salaries from her 24 years of employment. Once all these annual salaries are summed, we divide the total by 24, the number of years she worked. This calculation gives us a glimpse into her financial history and forms the basis for determining future benefits.
  • Add all annual salaries: This includes every year's salary combined.
  • Divide by the number of years employed: This simplifies the total to an annual average.
Calculating the career average salary helps in knowing the base figure that will influence pension calculations and gives insight into one's earning progression over time.
Retirement Planning
Retirement planning is a significant part of personal finance management, especially when you're looking forward to a stable income after your work life ends. In Martina's case, her retirement plan is through an employer who offers a pension benefit. This pension is calculated using a percentage of her career average salary, multiplied by the number of years she served in the company.
This plan ensures that as a retiree, Martina would receive periodic income by leveraging her past earnings over her career span. Such planning enables individuals to maintain their lifestyle post-retirement without financial strain. The calculation involves a clear understanding of the career average salary and the specified percentage of it that will translate into pension benefits over the years served.
Percentage Calculation
Percentage calculations are often used in financial contexts to determine how two figures compare with each other. In this scenario, we calculate what portion of Martina’s final annual salary her retirement salary will be. First, we determine her annual pension by multiplying her career average salary by 2.35% and then by the 24 years worked. Once we have the annual pension amount, we can understand its value relative to Martina’s last drawn salary of $52,000.
  • Calculate annual pension benefits: Multiply career average salary by 2.35% and years of service.
  • Determine percentage of final salary: Divide the annual pension by the final annual salary and multiply by 100.
This percentage gives us insight into how well the pension compensates compared to what she was earning just before retirement. It's a crucial part of evaluating how sufficient the pension plan is in maintaining post-retirement financial stability.
Monthly Benefits
For a retiree, knowing the monthly pension benefit is essential as it helps in budgeting monthly expenses. Once Martina's annual pension is calculated using her career average salary and the provided percentage, it's vital to break this down into a monthly figure. We do this by dividing the annual pension by 12.
This step-wise reduction from an annual amount to monthly installments helps retirees manage their cash flows efficiently and make necessary arrangements for any additional income they may need. Understanding this breakdown ensures that Martina can plan her monthly expenses wisely, based on the predictable income from her pension.

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Most popular questions from this chapter

Mike makes \(Y\) dollars per year. His company offers a matching retirement plan in which they agree to match \(M\) percent of his contributions up to \(P\) percent of his salary. Write an algebraic expression for the maximum value of the employer's matching contribution.

Janet is retiring after working for a major department store for 20 years. The company offered her a flat retirement benefit of \(\$ 50\) per year for each year of service. a. What was her monthly income in the first year after retirement? b. What was her annual income for the first year of retirement? c. After one year of retirement, she received a 1.54% cost of living adjustment to her monthly pension benefit. What was her new monthly benefit?

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