Question: On 2 January 2017, White-Stone Ltd. commenced a mining operation. White-Stone Ltd. is required by the terms of provincial legislation to remediate the mine site
On 2 January 2017, White-Stone Ltd. commenced a mining operation. White-Stone Ltd. is required by the terms of provincial legislation to remediate the mine site when mining is completed, likely in 8 years time. This means that a provision for decommissioning must be recorded. White-Stone Ltd. estimates that decommissioning will cost $610,000 in 8 years. A reasonable market interest rate is 5%. White-Stone Ltd.'s year end is on December 31.
Required: a) Calculate the present value of the decommissioning obligation on January 2, 2017. b) Prepare a table that shows the balance of the obligation for three years (only).
| Year | Opening Net Liability | Interest Expense Market Rate | Closing Net Liability |
| 2017 | a. | b. | c. |
| 2018 | d. | e. | f. |
| 2019 | g. | h. | i. |
c) Assume that at the end of 2019, White-Stone Ltd. estimates that the cost of remediation will be $708,500, and that interest rates are now in the range of 7%. Calculate the interest expense for 2019, the new present value, and the adjustment to the obligation for the change in estimates.
| Table 1-1: Present Value of 1: (P/F,i,n) | ||||||
| Period | 3% | 4% | 5% | 6% | 7% | 8% |
| 1 | 0.97087 | 0.96154 | 0.95238 | 0.94340 | 0.93458 | 0.92593 |
| 2 | 0.94260 | 0.92456 | 0.90703 | 0.89000 | 0.87344 | 0.85734 |
| 3 | 0.91514 | 0.88900 | 0.86384 | 0.83962 | 0.81630 | 0.79383 |
| 4 | 0.88849 | 0.85480 | 0.82270 | 0.79209 | 0.76290 | 0.73503 |
| 5 | 0.86261 | 0.82193 | 0.78353 | 0.74726 | 0.71299 | 0.68058 |
| 6 | 0.83748 | 0.79031 | 0.74622 | 0.70496 | 0.66634 | 0.63017 |
| 7 | 0.81309 | 0.75992 | 0.71068 | 0.66506 | 0.62275 | 0.58349 |
| 8 | 0.78941 | 0.73069 | 0.67684 | 0.62741 | 0.58201 | 0.54027 |
| 9 | 0.76642 | 0.70259 | 0.64461 | 0.59190 | 0.54393 | 0.50025 |
| 10 | 0.74409 | 0.67556 | 0.61391 | 0.55839 | 0.50835 | 0.46319 |
| 11 | 0.72242 | 0.64958 | 0.58468 | 0.52679 | 0.47509 | 0.42888 |
| 12 | 0.70138 | 0.62460 | 0.55684 | 0.49697 | 0.44401 | 0.39711 |
| Table 1-2: Present Value of an ordinary annuity of n payments of 1: (P/F,i,n) | ||||||
| Period | 3% | 4% | 5% | 6% | 7% | 8% |
| 1 | 0.97087 | 0.96154 | 0.95238 | 0.94340 | 0.93458 | 0.92593 |
| 2 | 1.91347 | 1.88609 | 1.85941 | 1.83339 | 1.80802 | 1.78326 |
| 3 | 2.82861 | 2.77509 | 2.72325 | 2.67301 | 2.62432 | 2.57710 |
| 4 | 3.71710 | 3.62990 | 3.54595 | 3.46511 | 3.38721 | 3.31213 |
| 5 | 4.57971 | 4.45182 | 4.32948 | 4.21236 | 4.10020 | 3.99271 |
| 6 | 5.41719 | 5.24214 | 5.07569 | 4.91732 | 4.76654 | 4.62288 |
| 7 | 6.23028 | 6.00205 | 5.78637 | 5.58238 | 5.38929 | 5.20637 |
| 8 | 7.01969 | 6.73274 | 6.46321 | 6.20979 | 5.97130 | 5.74664 |
| 9 | 7.78611 | 7.43533 | 7.10782 | 6.80169 | 6.51523 | 6.24689 |
| 10 | 8.53020 | 8.11090 | 7.72173 | 7.36009 | 7.02358 | 6.71008 |
| 11 | 9.25262 | 8.76048 | 8.30641 | 7.88687 | 7.49867 | 7.13896 |
| 12 | 9.95400 | 9.38507 | 8.86325 | 8.38384 | 7.94269 | 7.53608 |
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