Bunyan Lumber, LLC, harvests timber and delivers logs to timber mills for sale. The company was founded 70 years ago by Pete Bunyan. The current CEO is Paula Bunyan, the granddaughter of the founder. The company is currently evaluating a 7,500 acre forest it owns in Oregon. Paula has asked Steve Boles, the company's finance officer, to evaluate the project. Paula's concern is when the company should harvest the timber. 

Lumber is sold by the company for its "pond value". Pond value is the amount a mill will pay for a log delivered to the mill location. The price paid for logs delivered to a mill is quoted in dollars per thousands of board feet (MBF), and the price depends on the grade of the logs. The forest Bunyan Lumber is evaluating was planted by the company 20 years ago and is made up entirely of Douglas fir trees. The table below shows the current price per MBF for the three grades of timber the company feels will come from the stand: 

 Timber Grade Price Per MBF 
 1P $575 
 2P 555 
 3P 530 

 Steve believes that the pond value of lumber will increase at the inflation rate. The company is planning to thin the forest today, and it expects to realize a positive cash flow of $450 per acre from thinning. The thinning is done to increase the growth rate of the remaining trees, and it is always done 20 years following a planting. 

 The major decision the company faces is when to log the forest. When the company logs the forest, it will immediately replant saplings, which will allow for a future harvest. The longer the forest is allowed to grow, the larger the harvest becomes per acre. Additionally, an older forest has a higher grade of timber. Steve has compiled the following table with the expected harvest per acre in thousands of board feet, along with the breakdown of the timber grade: 

 Years from today Harvest (MBF) Timber Grade 
to begin harvest per acre 1P 2P 3P 

 20 7.2 15% 42% 43% 25 9.4 18 49 33 30 11.3 20 51 29 35 12.2 22 53 25 

 The company expects to lose 5% of the timber it cuts due to defects and breakage. 

 The forest will be clear-cut when the company harvests the timber. This method of harvesting allows for faster growth of replanted trees. All of the harvesting, processing, replanting, and transportation are to be handled by subcontractors hired by Bunyan Lumber. The cost of the logging is expected to be $155 per MBF. A road system has to be constructed and is expected to cost $60 per MBF on average. Sales preparation and administrative costs, excluding office overhead costs, are expected to be $21 per MBF. 

 As soon as the harvesting is complete, the company will reforest the land. Reforesting costs include the following: Per Acre Cost Excavator piling $160 Broadcast burning 280 Site preparation 140 Planting costs 270 All costs are expected to increase at the inflation rate. 

 Assume all cash flows occur at the year of harvest. For example, if the company begins harvesting the timber 20 years from today, the cash flow from the harvest will be received 20 years from today. When the company logs the land, it will immediately replant the land with new saplings. The return is 10% and the inflation rate is expected to be 3.7% per year. Bunyan Lumber has a 35% tax rate. 

Clear cutting is a controversial method of forest management. To obtain the necessary permits, Bunyan Lumber has agreed to contribute to a conservation fund every time it harvests the lumber. If the company harvested the forest today, the required contribution would be $300,000. The company has agreed that the required contribution will grow by 3.2% per year. When should the company harvest the forest?

To determine when the company should harvest the forest, we need to compare the cash inflows and outflows associated with each potential harvest date and calculate the net present value (NPV) of each option. The NPV will help us determine the most financially advantageous time to harvest the forest.

Here's a step-by-step guide to calculating the NPV:

1. Calculate the cash inflows from the harvest at each potential harvest date:
- Multiply the expected harvest per acre by the price per MBF for each timber grade.
- Adjust the cash inflows for a 5% loss due to defects and breakage.

2. Calculate the cash outflows at each potential harvest date:
- Determine the logging cost by multiplying the expected harvest per acre by the logging cost per MBF.
- Determine the road construction cost by multiplying the expected harvest per acre by the road construction cost per MBF.
- Determine the sales preparation and administrative costs by multiplying the expected harvest per acre by the cost per MBF.
- Determine the reforesting costs by summing the costs listed in the table and adjusting for inflation.

3. Calculate the net cash flows at each potential harvest date by subtracting the cash outflows from the cash inflows.

4. Discount the net cash flows at each potential harvest date to their present value using the company's required return rate (10%) and adjusting for inflation.

5. Calculate the NPV at each potential harvest date by summing the discounted cash flows and subtracting the required contribution to the conservation fund.

6. Compare the NPV at each potential harvest date and choose the harvest date with the highest NPV.

By following these steps, you can determine the optimal time to harvest the forest for Bunyan Lumber based on the financial metrics of the project.