Question

A pension plan is obligated to make disbursements of $4 million, $3 million, and $7 million at the end of each of the next th

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Answer #1

Duration of the plan's obligation

Year

(1)

Annual Payments ($ in Millions)

(2)

PVIF at 17%

(3)

Present Value

(4) = (3) x (2)

Weight

(5)

Duration

(6) = (1) x (5)

1

4.00

0.85470

3.42

0.34253

0.3426

2

3.00

0.73051

2.19

0.21957

0.4391

3

7.00

0.62437

4.37

0.43790

1.3137

$9.98

1.0000

2.0954

“Therefore, the duration of the plan's obligations = 2.0954”

NOTE

-The formula for calculating the Present Value Inflow Factor (PVIF) is [1 / (1 + r)n], where “r” is the Discount Rate/Cost of capital and “n” is the number of years.

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