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Grant's employer offers a pension plan that calculates the annual pension as the product of the final average salary, the number of years of service, and a 2\(\%\) multiplier. His employer uses a graded 5 year vesting formula as shown. Grant's starting salary with his company 4 years ago was \(\$ 80,000\) . Each year, he received a 2.5\(\%\) raise. After 4 years, Grant leaves his job. How much pension will he receive? $$\begin{array}{|c|c|}\hline \text { Tears } & {\text { vesting }} \\ {\text { Employed }} & {\text { Percentage }} \\ \hline 0 & {0 \%} \\ {1} & {10 \%} \\\ {2} & {25 \%} \\ {3} & {45 \%} \\ {4} & {70 \%} \\ {5} & {100 \%}\\\ \hline\end{array}$$

Short Answer

Expert verified
Based on the given problem, and after performing the three steps mentioned above, the short answer to the exercise would be the amount of pension that Grant will receive. This value requires calculations based on the salary increase, years of service, the multiplier and the vesting percentage.

Step by step solution

01

Calculate the final salary

Start with an initial salary of $80,000 and assume a 2.5% salary increment each year for Grant. To calculate the salary after the increment, the equation is \( \text{new salary} = \text{old salary} \times (1 + 2.5 / 100) \). Apply this equation for each of the 4 years Grant worked.
02

Calculate the baseline pension

Before taking into account the vesting percentage, calculate the baseline pension amount as the product of Grant's final salary, years of service and the 2% multiplier. The formula is \( \text{baseline pension} = \text{final salary} \times 4 \times (2 / 100) \).
03

Apply the vesting percentage

Finally, apply the vesting percentage from the 4th year, which is 70%. The equation is \( \text{pension} = \text{baseline pension} \times 70 /100 \). This is the total pension Grant will receive from his employer.

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Key Concepts

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

Vesting Percentage
Understanding how vesting percentage impacts pension plans is essential for planning your retirement income. Vesting refers to the percentage of your employer's contributions to a pension plan that you're entitled to receive upon leaving the company before retirement age. It is usually based on your length of service with the employer. In the case of Grant, his company uses a graded 5-year vesting schedule. This means his entitlement to the pension funds increases incrementally each year over a 5-year period. After four years, according to his company’s vesting schedule, he is 70% vested. That means Grant is entitled to 70% of the pension calculated based on the formula given by his employer. This is crucial because it directly affects the amount Grant will receive — regardless of what the total pension could have been, Grant's actual pension will be only a percentage of that, represented by the vesting percentage at the time he leaves the company.
Salary Increment Calculation
Salary increments are a common feature in the workplace, often based on performance, inflation, or company policy. Calculating the effect of these increments on salary over time is important for budgeting and financial planning. For Grant, every year he receives a 2.5% raise on his salary, which is an example of a simple salary increment calculation. To compute Grant's new salary at the end of each year, we multiply his current salary by the increment factor, which is 1 plus the percentage increase represented as a decimal. The formula for salary increment is succinctly expressed as:
\[\text{new salary} = \text{old salary} \times (1 + \frac{\text{raise percentage}}{100})\]
For Grant, who started with a salary of $80,000, the step-by-step calculation for each year would provide us with his final salary after the 4th year — before we consider his pension entitlement.
Final Average Salary
The final average salary is a term typically used in pension plans to denote the salary on which the pension calculation is based. Usually, this salary is an average of a certain number of years of salary towards the end of an employee's career, or as in Grant's case, the last salary before leaving the job. In pension plan calculations, the final average salary acts as a foundation upon which the pension benefits are calculated.

Determining the Final Average Salary

Using our previous example, Grant's final salary is determined after applying the annual raise of 2.5% for each year of his employment. In more complex scenarios, the final average salary might be the average of the employee's highest-earning consecutive years in the last part of their career. Understanding how to calculate this can help you estimate your future pension benefits.
Overall, these calculations serve as an example of how understanding one's pension calculations, including vesting percentage, salary increments, and the role of final average salary, is key to financial planning for retirement.

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Most popular questions from this chapter

John is 60 years old. He plans to retire in two years. He now has \(\$ 400,000\) in a savings account that yields 2.9\(\%\) interest compounded continuously (see Lesson 3-7). He has calculated that his final working year's salary will be \(\$ 88,000 .\) He has been told by his financial advisor that he should have \(60-70 \%\) of his final year's annual income available for use each year when year's annual income available for use each year when he retires. a. What is the range of income that his financial advisor thinks he must have per year once he retires? b. Use the continuous compounding formula to determine how much he will have in his account at the ages of 61 and \(62 .\) c. Assume that John is planning on using 65\(\%\) of his current salary in each of his first 5 years of retirement. What should that annual amount be? d. John has decided that he will need \(\$ 20,000\) each year from his savings account to help him reach his desired annual income during retirement. Will John be able to make withdrawals of \(\$ 20,000\) from his savings account for 20 years? Explain your reasoning.

A taxpayer who pays 22\(\%\) in taxes each year has these two accounts. Account \(1 : \$ 10,000\) is placed in a tax-deferred account that pays 5\(\%\) interest compounded annually for 25 years. Account \(2 : \$ 10,000\) is placed in a taxable account that pays 5\(\%\) interest compounded annually for 25 years. a. How much is in Account 1 after the 25 -year period? b. since the taxpayer pays 22\(\%\) of all income in taxes, 22\(\%\) of the interest he makes each year will go towards taxes. Therefore, his annual interest rate in actuality is 22\(\%\) less than the 5\(\%\) quoted rate. What is his real annual interest rate? c. How much will he actually have made after the 25 -year period in Account 2 if taxes are taken into consideration?

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?

Emily’s employer offers a pension plan that calculates the annual pension as the product of the final average salary, the number of years of service, and a 2\(\%\) multiplier. Her employer uses a graded 5 -year vesting formula as shown. After 4 years, Emily leaves her job. Her average salary was \(\$ 65,000\) . How much pension will she receive? $$\begin{array}{|c|c|}\hline \text { Years } & {\text { Vesting }} \\ {\text { Employed }} & {\text { Percentage }} \\ \hline 0 & {0 \%} \\ {1} & {0 \%} \\\ {2} & {25 \%} \\ {3} & {50 \%} \\ {4} & {75 \%} \\ {5} & {100 \%}\\\ \hline\end{array}$$

Office Industries uses a final average formula to calculate employees’ pension benefits. The calculations use the salary average of the final four years of employment. The retiree will receive an annual benefit that is equivalent to 1.4% of the final average for each year of employment. Charlotte and Krista are both retiring at the end of this year. Calculate their annual retirement pensions. a. Krista’s years of employment: 18 Final four annual salaries: \(\$ 72,000, \$ 74,780, \$ 74,780, \$ 76,000\) b. Charlotte's years of employment: 23 Final four annual salaries: \(\$ 81,000, \$ 81,000, \$ 81,400, \$ 81,900\)

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