- CFA Exams
- 2024 Level II
- Topic 3. Financial Statement Analysis
- Learning Module 12. Employee Compensation: Post-Employment and Share-Based
- Subject 2. Accounting for Defined Benefit Plans

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##### Subject 2. Accounting for Defined Benefit Plans PDF Download

A

PBO:

Annual salary: $50,000.

Years to retirement: 9 (at the end of Year 1).

Expected final salary: $59,755 (increases at 2% annually for 9 years)

Projected pension: $1,793 (rounded).

PBO:

Annual salary - $50,000 x 1.02 = $51,000.

Years to retirement: 8 (at the end of Year 2).

Expected final salary: $59,755 (increases at 2% annually for 9 years)

Projected annual pension: $59,755 x 3% x 2 = $3,585.

PV of 10-year annuity $3,585 = $29,067

PBO (PV of the annuity for 8 years at 5%): $19,674.

**defined benefit plan**defines the benefits that the employee will receive at the time of retirement.

- The employer is committed to specified retirement benefits.
- The trust accumulates assets, and employer is the trust-beneficiary. That is, the employer assumes the risk of the investment. As long as the plan continues, the employer is responsible for the payment of the defined benefits without regard to what happens in the trust.
- Retiree benefits are a fixed amount. Any shortfall in the accumulated assets held in the trust must be made up by the employer, and any excess accumulated in the trust can be recaptured by the employer.

The employer needs to determine what the contribution should be today to meet the pension benefit commitments that will arise at retirement. It is at risk because it must be sure to make enough contributions. The liability is often controversial because its measurement and recognition relate to unknown future variables.

The plan's return objective is to meet the

**actuarial rate of return**which is the discount rate used to find the present value of the plan's future obligations and therefore determines the size of the firm's annual contribution to the pension plan. The actuarial rate of return is set by actuaries who estimate future pension obligations based on assumptions regarding future salaries (and increases), retirement patterns, age of worker, worker life expectancies and the firm's benefit formula.The principal elements of a defined benefit plan are (1) the obligation for benefits to be paid to retirees, and (2) the plan assets that will be used to meet that obligation. The funded status of a plan is often referred to as the "pension plan's economic position".

- If a plan has insufficient funds to meet the retirement needs of its employees the fund plan is considered to be
**underfunded**. Many analysts watch the liability of a large firm and the extent to which a firm may have inadequate funds in its retirement accounts. - On the other hand,
**overfunded**plans (in which the present value of the pension liabilities is less than the plan's assets) enable the fund's portfolio managers to invest funds in a more aggressive investment strategy.

__Pension Plan Assets__

__What Are Pension Benefit Obligations?__The pension obligation is the actuarial present value of forecasted benefits to be paid to retirees.

- The
**vested benefit obligation**(**VBO**) is the amount of the benefit obligation that does NOT depend on future employee service. It is based on vested benefits. - The
**accumulated benefit obligation**(**ABO**) reflects the present value of pension benefits earned at the balance sheet date based on compensation to date. It is based on current salary levels. It is useful if the company is expected to settle the liability on a currently basis such as through a plan settlement. - The
**projected benefit obligation**(**PBO**) is the actuarial present value of the benefits attributed to employee service rendered to date, as measured by the benefit formula. Its computation includes projected salary increases. The GAAP calculations of obligations are based largely on PBO. PBO is the actuarial present value of the benefits the employer expects to pay retired employees. It assumes that the employee will continue working for the company until retirement and that the company is a going concern.

Interaction among the terms:

- The PBO is the projected pension but it is based only on the years of service earned to date.
- The ABO recalculates PBO under the implicit assumption that the participant will leave the company at the end of the year, so future salary increases and pension increases due to additional years of service are not considered.
- For non-pay-related pensions, ABO will be the same as PBO, but for pay-related plans, ABO will be smaller than PBO.
- Future projected compensation increases are used to compute PBO, but not ABO or VBO.

Two critical assumptions to estimate future benefits are:

**Discount rate**. It is used to compute the actuarial present value of benefits, the pension expense, and the obligation of the employer under the plan. It determines the amount of employee benefits payable, if all employee obligations were hypothetically settled today. The discount rate must approximate the market interest rate.- The
**rate of compensation increase**. It must be economically consistent with other assumptions used.

*Example*An employee begins at a salary of $50,000 per year. The company's defined benefit plan provides for an annual pension benefit of 3% per year of service, applied to the final salary. The employee is expected to have annual salary increase of 2%, will retire in 10 years and will have a life expectancy of 10 years post-retirement. The discount rate is 5%.

In Year 1, the pension obligation is calculated as follows:

PBO:

Annual salary: $50,000.

Years to retirement: 9 (at the end of Year 1).

Expected final salary: $59,755 (increases at 2% annually for 9 years)

Projected pension: $1,793 (rounded).

If the employee works for the full 10 years, the project pension would be 3% x 10 years, or 30% of final salary, or $17,926 per year.

Just for Year 1, the present value of 10 payments of $1,793 discounted to the beginning of the payout period (beginning in Year 10) at the rate of 5% is $14,537. Discounting this amount back to the end of Year 1 results in a present value of $9,371, which represents the PBO as of the end of the Year 1.

The ABO for Year 1 takes into account only the actual pension benefit earned. In this case, the pension would be $50,000 x 0.03 = $1,500. The present value of 10 payments of $1,500, discounted to the beginning of the payout period at the rate of 5% is $12,162. Discounting this amount back to the end of Year 1 results in a present value of $7,840. This is the ABO for Year 1.

If the company has a 5-year vesting schedule so that the participant vests in 20% of the ABO each year for the first 5 years, then the VBC is $7,840 x 0.20 = $1,568.

In Year 2, the pension obligation is calculated as follows:

PBO:

Annual salary - $50,000 x 1.02 = $51,000.

Years to retirement: 8 (at the end of Year 2).

Expected final salary: $59,755 (increases at 2% annually for 9 years)

Projected annual pension: $59,755 x 3% x 2 = $3,585.

PV of 10-year annuity $3,585 = $29,067

PBO (PV of the annuity for 8 years at 5%): $19,674.

Since year 1 PBO was $9,371, the Year 2 pension liability is $19,674.

###
**User Contributed Comments**
17

User |
Comment |
---|---|

AusPhD |
If the whole world adopted defined contribution plans, this CFA course would be a whole lot less boring! |

RichardWang |
I'd rather my employer adopt defined benefit plan. I will drop studying CFA and try to live longer! |

MonkeySee |
My retirement plan involves winning the lotto. In the mean time I guess I have to study. |

prabhur08 |
The amount paid out as pension is $17,926 per year i.e. 30% of final salary. Therefore the PV beginning of year 10 is $145,341. Therefore PBO at the end of year 1 should be $93,688. Is this correct? |

djop2002 |
I see what you mean prabhur08 but I think you got confused by the term "$17'926 per year".In the example the employee has only worked a year so for the 10Y of retirement period he will only receive an annual pension of 0.03*1Y*$59'755=$1'793.This is the annual pension you have to discount beggining of year 10. |

touchou |
can someone explain VBO please?? |

Allen88 |
I may be mistaken touchou but I think VBO, ABO and PBO are: VBO= Vested benefits ABO= Vested benefits + Nonvested benefits PBO= Vested benefits + Nonvested benefits + Future Salary increase |

sheevun |
Oh my gosh, the subjects get difficult in the long run... waaaaahhhh... |

joywind |
HELP!!! how do you guys get $14,537 the PV at the beginning of year 10? I was using PMT=-1,793, N=10, i=5 then I have PV = 13,845; also I was trying to use CFs... but the NPV is giving me the same number instead of $14,537. Some one verify plz? |

joywind |
ok... finally figured out that the annuity here post-retirement is actually paid at the beginning of each period so the actual discount period should be 9 years or just remember to use BEG annuity function... |

krunk |
I've been dreading this reading, but somehow I just aced every practice problem. I think I might be the Rain Man of pension accounting. |

birdperson |
@KRUNK -- YES! |

davidt876 |
get em Krunk! Allen's comment is very helpful. and i actually did what prabhur did, but djop's comment explains it perfectly. joywing brings up the most important concept in all of this: take into account when the payments will be made to employees (beginning of the year), and when PBO is being calculated as at (now or end of year) I used BGN setting on the BAII and: N=10; I/Y=5; PMT=1,793 and computed PV=1,793 then the *current* PBO is discounted as (1.05)^10, but the PBO at *the end of year1* is discounted as (1.05)^9 |

jamesleung |
24 B The value at the end of Year 17 (retirement date) of the estimated future payments is the PV of the estimated annual payment for each of the 20 years at the discount rate of 4%: Annual compensation increase of 6%: PV of €68,589.50 for 20 years at 4% = €932,153.69 Annual compensation increase of 5%: PV of €58,937.61 for 20 years at 4% = €800,981.35 The above is copied from curriculum Practice Problem Q24. Discount Rate =4%; N=20; PMT=68,589.50 ==> PV=932,153.69 It indicates no BEG is required from the curriculum. Anyone can tell me if this study notes $14,537 is correct or not? (using BEG instead of END mode of BAII Plus) |

jamesleung |
When someone will retire in 10 years, he/she will finished the whole period until to the end of 10th year. Example 3 in curriculum tells the same thing. The above example looks like one will retire at the beg of 10th year? |

jamesleung |
typo: VBC 1568 |

shoaib786 |
You can also figure out 14,537 by simply following these steps, N=10, FV=0, I=5, PMT=1793 then press CPT & PV = 13,845 then multiply this by the discount rate 1.05 to get 14,537. This way you do not need to use BEG Annuity Function. Just keeping it simple. |

I am using your study notes and I know of at least 5 other friends of mine who used it and passed the exam last Dec. Keep up your great work!