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Pamela acquired 80% of the share capital of Samantha on 1 January 20X1. Part of thepurchase consideration was $200,000 cash to be paid on 1 January 20X4. The applicable costof capital is 10%.What will the deferred consideration liability be at 31 December 20X2?

Question

Pamela acquired 80% of the share capital of Samantha on 1 January 20X1. Part of thepurchase consideration was $200,000 cash to be paid on 1 January 20X4. The applicable costof capital is 10%.What will the deferred consideration liability be at 31 December 20X2?

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Solution

The deferred consideration liability is the present value of the future payment that Pamela owes. This is calculated using the formula for the present value of a single sum, which is:

PV = FV / (1 + r)^n

Where:

  • PV is the present value
  • FV is the future value
  • r is the discount rate
  • n is the number of periods

In this case:

  • FV is $200,000 (the future payment)
  • r is 10% (the cost of capital)
  • n is 2 (the number of years from 31 December 20X2 to 1 January 20X4)

So the calculation is:

PV = 200,000/(1+0.10)2PV=200,000 / (1 + 0.10)^2 PV = 200,000 / 1.21 PV = $165,289.26

So, the deferred consideration liability at 31 December 20X2 would be $165,289.26.

This problem has been solved

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