carondelet hospital is evaluating a lease arrangement for its ambulance fleet 613246

Accounting for the effect of changes in the discount rate

A provision is required to be set up for an expected cash outflow of €100,000 (estimated at current prices), payable in three years’ time. The appropriate nominal discount rate is 7.5%, and inflation is estimated at 5%. At future prices the cash outflow will be €115,762 (€100,000 × 1.053). The net present value of €115,762, discounted at 7.5%, is €93,184 (€115,762 × 1 ÷ (1.075)3).

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At the end of Year 2, all assumptions remain valid, except it is determined that a current market assessment of the time value of money and the risks specific to the liability would require a decrease in the discount rate to 6.5%. Accordingly, at the end of Year 2, the revised net present value of €115,762, discounted at 6.5%, is €108,697 (€115,762 ÷ 1.065).

The movement in the provision would be reflected as follows:

Undiscounted
cash flows

Provision

Year 0

115,762

93,184

Unwinding of discount (€93,184 x 0.075)

6,989

Revision to estimate

Year 1

115,762

100,173

Unwinding of discount (€100,173 x 0.075)

7,513

115,762

107,686

Revision to estimate (€108,697 – €107,686)

1,011

Year 2

115,762

108,697

Unwinding of discount (€108,697 x 0.065)

7,065

Revision to estimate

Ycar 3

115,762

115,762

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