Bunyan Lumber
In order to determine the best time to harvest the timber, the data needs to be organized and calculations performed for each of the different potential start times. Sunk costs/decisions such as the decision to thin the trees now are not included in the calculation, because the decision of when to cut the trees does not affect the decision to thin the forest. The other information presented in the case is valid, including the tax rate. The latter is important because it is not necessarily going to be charged each year -- for example if the company posts a loss there will be no taxes.
When using net present value to make a decision such as this, the rule of thumb is that any project with a positive NPV is good, but that when the options are mutually exclusive then the option with the highest NPV should be selected. In this situation, the four options are clearly mutually exclusive.
The calculation must take into account inflation, which is the same rate for everything except the conservation cost. The calculation must also factor in the changes in the timber quality, a variable that will affect the bottom line because of the different prices for the different timber. It stands to reason that there is economic incentive for the firm to cut at a point where the timber will have the highest percentage of 1P timber. However, the time value of money is an important consideration here because that could diminish the present value of these future cash flows. It cannot be assumed that the higher net cash flow is going to be the higher net present value. Thus, the calculation was conducted in Excel in order to illustrate which of the four options is the best option for the Bunyan Lumber company.
The NPV calculations for the four harvesting options are as follows:
20-Year
25-Year
30-Year
35-Year
1P Price
2051
2P Price
1979
3P Price
MBF, net
51300
66975
80513
86925
Revenue
58060165
91415661
132119933
171492089
Cost of Logging
17310140
27101275
39069162
50583545
Cost of Road
6700699
10490816
15123547
19580727
Sales/Admin
2345245
3671786
5293241
6853255
Reforesting
13184247
15810627
18960199
22737183
Conservation
563268
659346
771813
903464
Pre-Tax Flows
17956565
33681810
52901972
70833915
Tax
6284798
11788634
18515690
24791870
Net Income
11671768
21893177
34386282
46042044
PV
1734934
2020653
1970628
1638365
The finding of the calculation is that the timber should be harvested in the 25th year. This is option has the highest rate of return given the assumptions. The worst time to harvest the timber is the 35th year. This decision derives from the rule of thumb that when choosing among options that are mutually exclusive, the option with the highest net present value should be selected. We can see that the net cash flow from the project increases the longer the company waits, but that the present value of the harvest begins to decline after the 25-year mark.
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