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22 August, 14:33

Indigo Construction Inc. agrees to construct a boat dock at the Smooth Sailing Marina for $43,700. In addition, under the terms of the contract, Smooth Sailing will pay Indigo a performance bonus of up to $12,000 based on the timing of completion. The performance bonus will be paid fully if construction is completed by the agreed-upon date. The performance bonus decreases by $2,400 per week for every week beyond the agreed-upon completion date. Indigo has constructed a number of boat docks under similar agreements. Indigo's management estimates, that it has a 60% probability of completing the project on time, a 20% probability of completing the project one week late, and a 20% probability of completing the project two weeks late. Management does not believe the project will be more than two weeks late. Determine the transaction price that Indigo should compute for this agreement. Transaction Price $

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  1. 22 August, 17:41
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    Answer: The transaction price that Indigo should compute for this agreement = $54,260

    Explanation:

    First, we'll evaluate Variable consideration using expected value method.

    The probability of time completion is 60%

    The consideration (performance bonus) = 12,000;

    ∴ Expected consideration = 60% of 12000 = $7,200

    Probability of completing the project one week late = 20%

    The consideration = 9600

    ∵ The performance bonus reduces by 2400 for delay of a week;

    ∴ Expected consideration = 20% of 9600 = $1920

    Similarly, for a delay of 2 weeks,

    Expected consideration = $1,440

    So, the total expected consideration comes to 10,560/-

    Transaction price = contract cost + Variable consideration

    =43700 + (12000 * 0.6 + 9600 * 0.2 + 7200 * 0.2)

    =$54,260
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