Answer:
a. $14.7 million
b. $15.7 million
Explanation:
a. The asset retirement obligation (rounded) that should be recognized at the beginning of the extraction activities is:
Present Value of Cash Flows Expected From the Project / Asset Retirement Obligation at the Beginning = (0.60*10 + .40*30) * PVIF(7%,3 Years)
=(0.60*10,000,000 + 0.40 * 30,000,000) * 0.81630
= (6,000,000 + 12,000,000) * 0.81630
= 18,000,000 * 0.81630
= $14.7 million
b. The asset retirement obligation (rounded) that should be reported on the balance sheet one year after activities begin is:
Asset Retirement Obligation One Year After = Present Value of Cash Flows Expected From the Project*(1+.07)
= 14,700,000 * (1+0.07)
= 14,700,000 * (1.07)
= $15.7 million