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~ , <br />TABLE 3 <br />-BOAT LAUNCHING FEE $5.23 <br />Le-t~tcHes ;goo <br />ANNUAL COST $44 ,455 <br />ANNUAL COST ESCALATION 3.10°10 <br />ANNUAL CaROVItTH W4T1= ~ - 2.T0°lo <br />ANNUAL C03TS 1 5 44,455 $ 45,389 <br /> 2 $ 45,833 $ 46,796 <br /> 3 $ 47,254 $ 48,246 <br /> 4 $ 48,719 $ 49,742 <br /> 5 $ 50,229 $ 51,284 <br /> 6 $ 51,786 $ 52,874 <br /> 7 $ 53,392 $54,513 <br /> 8 $ 55,047 $ 56,203 <br /> 9 $ 56,753 $ 5T,945 <br /> 10 $ 58,512 $ 59,741 <br /> 11 $ 60,326 $ 61,593 <br /> 12 $ 62,196 $ 63,503 <br /> 13 $ 64,125 $ 65,471 <br /> 14 $ 66,112 $ 67,501 <br /> 15 $ 68,162 $ 69,593 <br /> 16 $ 70,276 $ 71,751 <br /> 17 $ '72,453 $ 73,975 <br /> 18 $ 74,700 $ 76,268 <br /> 19 $ 77,015 $ 78,633 <br /> 20 $ 79,403 $ 81,070 <br />The net present value of benefits is then divided by <br />the net present value of costs to yield the benefit/ <br />cost ratio. The benefit/cost ratio must be greater <br />than unity (1.00) before public investment in a project <br />is justified (Table 6). <br />ANNUAL BENEFITS <br />Annual base year user days for this project are <br />34,000 (Table 1 A). The annual percentage growth <br />rate is .1 % ). Annual benefits are shown in Table 2. <br />The net present value of benefits is shown in Table <br />4. <br />ANNUAL COSTS <br />Annual costs are shown in Table 3. The net present <br />value of costs is shown in Table 5. <br />BENEFIT/COST RATIO <br />The benefit/cost ratio for this project is 3.30 (Table <br />6). This means that estimated benefits exceed <br />estimated costs. The construction of this project is, <br />therefore, economically justified. <br />GLOSSARY /DATA SOURCES <br />1. Annual Base Year User Days -annual boat <br />launches times average persons aboard a boat. <br />2. Annual Boat Launches - existing or projected <br />yearly boat launches at a facility, estimated by <br />the grantee, or from regional data from the BBS. <br />3. Average Persons Aboard aBoat -regional <br />data from the BBS. <br />4. Annual Percentage Growth Rate -the average <br />of the low and high boat usage (over the 20-year <br />life expectancy of the project) derived from boat <br />forecasts regional data for boats less than 26 <br />TABLE 4 <br />Year Benefits Discount Benefits <br />Rate <br /> <br />0 $608,868 1.00 $608,870 <br />1 $625,324 1 A5 $598,400 <br />2 $625,949 1.09 $573,200 <br />3 $626,575 1.14 $549,070 <br />4 $627,201 i.i9 $525,950 <br />5 $627,829 1.25 $503,800 <br />6 $628,456 1.30 $482,590 <br />7 $629,085 ,1.36 $462,270 <br />8 $629,744 i.42 $442,810 <br />9 $630,344 1.49 $424,160 ` <br />10 $630,974, 1.55 $406,300 <br />11 $631,605. 1.62 $389,190 <br />12 $632,237 1.70 $372,810 <br />13 $632,869 1.77 $357,110 <br />14 $633,502 1.85 $342,070 <br />15 $634,135 ~ 1.94 $327,670 <br />16 $634,769 2.02 $313,870 <br />17 $635,404 2.11 $300,660 <br />18 $636,040 2.21 $288,000 <br />19 $636,676 2.31 $275,870 <br /> <br />$8,544,670 <br />The discount rate being used is 4.50%. This is equivalent <br />to the interest rate being charged by the 17epartment of <br />Boating and Waterways on its public loans. Present value <br />is deterr>rned by dividing future benefits by (1+r)",where <br />r is the discount rate and n is the nun~er of years into the <br />future. <br />San Leandro Marina BLF 5 <br />