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Understanding the concept of the 'final average salary' is crucial when it comes to pension plan calculations. In essence, this refers to the average of an employee's salary over a certain period, typically the years immediately preceding retirement. For Emily, her final average salary is calculated based on her earnings right before she left her job. It represents a crucial component of the pension formula and directly influences the payout she will receive. In scenarios where someone's salary fluctuates or increases towards the end of their career, this average can significantly boost the pension outcome.

To put it simply, a higher final average salary means a higher pension payment, assuming all other factors in the pension formula remain constant. As in Emily’s case, where her final average salary is reported as $65,000, it becomes the baseline figure upon which the pension is initially calculated before factoring in other elements such as years of service and vesting percentage.

The 'years of service' plays a pivotal role in determining the size of an employee's pension. This term refers to the total number of years an employee has worked for an employer, contributing to the pension plan. Generally, the more years of service, the larger the pension benefits. This is because the pension plan formula typically multiplies the years of service by both the final average salary and the pension multiplier to calculate the base pension benefits before any adjustments for vesting.

In Emily's case, her years of service were four. While this is a significant amount of time, it's worth noting that pension benefits can drastically increase with more years of service, underscoring the incentive for long-term employment when it comes to retirement planning.

The 'pension multiplier' is a predefined factor used in the pension formula that ultimately determines the annual pension benefits an employee will receive. Typically expressed as a percentage, it represents the proportion of the employee's final average salary that they will get as a pension for each year of service. A common pension multiplier could be around 1 to 2.5 percent, varying greatly between different pension plans.

For Emily, a 2% multiplier is applied in her pension calculation. This means she is entitled to 2% of her final average salary for every year of service. This multiplier is essential because even a small change can have a substantial effect on the final pension amount. The multiplier reflects the generosity of the pension plan and can differ vastly between employers and industries.

Lastly, the 'vesting percentage' is a crucial concept that can greatly affect an employee's pension. Vesting refers to an employee's right to the portion of benefits that have accumulated under an employer's pension plan. It usually occurs over a period of time, and if an employee leaves the job before being fully vested, they will only receive a portion of the pension benefits based on the company's vesting schedule.

As outlined in the problem, Emily's company uses a graded vesting schedule. After four years, she is 75% vested. This means that she has earned the right to 75% of her pension benefits up to that point. If Emily had stayed for five years, she would have been 100% vested and entitled to the full pension benefits. The vesting percentage is fundamental to understand because it acts as a multiplier that can reduce the pension benefits despite the years of service and high average salary.