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Economics of Groundwater Use in the Beryl-Enterprise Area. Land Value. Compound interest: $1,000 deposited at 5% for 20 years: $1,000 + $1,000(1.05) + $1,000(1.05)(1.05)…. = $1,000 (1.05) 20 “Future value” = $2,653 at the end of 20 years.
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Land Value • Compound interest: • $1,000 deposited at 5% for 20 years: • $1,000 + $1,000(1.05) + $1,000(1.05)(1.05)…. • = $1,000 (1.05)20 • “Future value” = $2,653 at the end of 20 years. • What would I have to deposit to have $2,653 at the end of 20 years? • “Present Value” = $2,653 / (1.05)(1.05)(1.05)….. • Present Value = $2,653 / (1.05)20 • Present Value = $1,000
Land Value • Suppose I deposit $1,000 every year for 20 years at 5%. What is the “future value?” • = $1,000(1.05)20 + $1,000(1.05)19 + $1,000(1.05)18 + ….. + $1,000 (1.05) • = $24,831 (future value of $1,000 per period)
Land Value • Suppose I want to know what the $1,000 per year at 5% for 20 years is worth today (Present Value of $1,000 per period) • = sum of each year’s future value divided by (1.05)20 or ($1,000(1.05)20 / (1.05)20 + ($1,000(1.05)19 / (1.05)20 + … • = $12,821 • If I deposit $12,821 today at 5%, it will give me $1,000 per year for 20 years. • What would you be willing to pay for an income stream that guaranteed you $1,000 per year for 20 years? Not more than $12,821 if your interest rate is 5%.
Land Value • Suppose I or my offspring were to deposit $1,000 per year from now to eternity. • The Present Value of that stream ($1,000 in “perpetuity”) at 5% is $1,000 / (0.05) • = $20,000 • What would you be willing to pay to get an income stream of $1,000 per year forever? Not more than $20,000.
Land Value • So what does this have to do with land value? • An acre of irrigated land produces a certain net return (gross receipts less costs) every year (AVERAGE?) • The present value of that net return for “t” years is the asset value of the land (assuming no other effects on land value).
Land Value • We can look at the present value of that “stream” of net returns over some period of time – maybe 50 years (the working life of a farmer) or maybe forever (in perpetuity) • That present value should be reflected in the price someone is willing to pay for the land.
Land Value • For example, suppose that an acre of irrigated alfalfa produces a net return of $170 per year. • The Present Value of the stream of net returns of $170 at 5% for 50 years is $3,103. • The Present Value of the stream of net returns of $170 at 5% per year in perpetuity is $3,400
Land Value • SO? • Data from the Utah State University Extension Service indicates that an acre of alfalfa will produce a net return (after current pumping costs) of about $170 in the Beryl-Enterprise area after pumping costs. • The same data base indicates that the “average” irrigated acre yields about $134 per acre in net return.
Net Returns per Acre • Here is a table of consumptive water use, current percentage of the irrigated crops in the region, gross sales, net returns without pumping costs and net returns including current pumping costs (http://extension.usu.edu/agribusiness/htm/finance)
Pumping costs • Pumping costs are estimated at $70 per acre at present. However, as pumping continues, lifts are estimated to increase an average of about 1.12 feet per year. The increased pumping cost is approximately $0.32 per acre per foot of lift for alfalfa, and about $0.22 per acre per acre foot of lift for corn. • Water duty = Consumptive use requirement divided by irrigation efficiency (assumed to be 73%)
Land Value Again • The net return for alfalfa is $170 per acre minus the increased pumping cost. • The Present Value of that stream of net income for 50 years is $3,022, and for 100 years is about $3,250. • Local lending agencies indicate that their appraisals of irrigated acreage in the Beryl-Enterprise region are $3,000 to $3,500 per acre.
Land Value • The difference (if any) between the present value of the irrigation returns and land price is probably due to: • Speculation about future profitability of corn and alfalfa, and • Speculation about the future development of non-agricultural uses (ranchettes, for example)
Land Value Change • Lenders also say that an acre of dry land in the Beryl-Enterprise region ranges from $250 to $500 per acre • That means that the loss of water would result in a loss of value of around $3,000 per acre, (sale price of $3,500 less the $500 value of dry land) which is consistent with our calculations.
Land Value Change • What is the Present Value of the loss of $3,000 over time at 5%? • The answer represents the Present Value of removing water from the land at “t” years in the future, or • The price a producer would pay now for land that will have water removed “t” years in the future.
Land Value Again • What does this mean for the farmer? It means that the value of his land depends on how many years elapses before he can no longer pump groundwater.
Conclusion • Beyond 70 years, the cost to the farmer in terms of reduced land value, or price, today is very small.
Impact of Losses • Washington-Iron County Region • Data limit the detail of the analysis to county-level • Most local input purchases occur in the two counties • Most purchases by households are in the two counties • Annual losses assume that production will be reduced by the same amount each year over a 20-year period
Impact of Losses • Assume that 90% of hay, 70% of corn and grain, and 50% of pasture is exported • Assume a 20-year period over which production is reduced by the same amount (5%) each year. • The total value of reduced exports from the Beryl-Enterprise area would be about $3.9 million • The annual value of reduced exports from the area would be about $195,000.
Direct Changes in Region Job s Household income RGO Annual 0.5 $ 46,133 $ 194,812 Total 10 $ 922,656 $3,896,247 • Most of these changes will occur in the Beryl-Enterprise area.
Projected Total Impact of LossesWashington-Iron County Region Using the IMPLAN Model Job s Household income RGO State and local taxes Annual 1.5 $ 67,410 $ 266,342 $ 11,926 Total 29.6 $1,348,198 $5,326,837 $238,512