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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

Sara works for the City of Northbeck. The city calculates an employee's pension according to the following formula. \(\bullet\) Determine the average of the highest 3 years of annual earnings. \(\bullet\) Determine the monthly average using the above amount. \(\bullet\) Subtract \(\$ 600\) from that amount. \(\bullet\) Multiply the result by 30\(\% .\) \(\bullet\) Add \(\$ 400\) to that result. \(\bullet\) For each year of employment over 15 years, add 1\(\%\) of the average monthly salary, not to exceed \(\$ 100\) for each year. \(\bullet\) The final result is the monthly pension benefit. Sara's three highest annual salaries are \(\$ 90,000, \$ 92,598,\) and \(\$ 93,000\) . Calculate Sara's monthly pension benefit to the nearest penny if she retires after 18 years of employment.

In a certain year, the maximum taxable income for Social Security was x dollars and the tax rate was 6.2%. a. What is the maximum Social Security tax anyone could have paid in that year? b. Paul had two jobs that year. One employer paid him y dollars and the other paid him p dollars. His total income was greater than x. Each employer took out 6.2% for Social Security. Express the amount that Paul overpaid for Social Security taxes in that year algebraically.

Fiona opened a retirement account that has an annual yield of 6\(\% .\) She is planning on retiring in 20 years. How much must she deposit into that account each year so that she can have a total of \(\$ 600,000\) by the time she retires?

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?

Jonathan has a universal life insurance policy with a face value of \(\$ 500,000 .\) The current cash value of the policy is \(\$ 11,260 .\) Jonathan wants to stop paying premiums for a few months while he changes jobs. The premium is \(\$ 134\) per month. a. What will the cash value of the policy be, without adding any interest, if he doesn't pay the premiums for a year? b. For how many months could Jonathan use the cash value (with out interest) to pay for the \(\$ 134\) premiums?

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