1 Civil Systems Planning Benefit/Cost Analysis Chapters 4 and 5 Scott Matthews Courses: and Lecture 5 - 9/11/2002
and Going Over HW #1 Mean = xx (out of 35, xx%) St. dev = xx Min = xx, Max = xx Generally no major problems
and Externalities Recall that external effects happen to third parties (non-consumers, producers) Cause distortions in the market Are by-products with no markets Since number of externalities is large, CBA can/should be used before government intervenes to correct
and Pollution (Air or Water) Q P Q# P# S*: marginal Private costs D S#:marginal Social costs P* Q* Typical supply functions (MC) only Describe private, not social costs. We assume parallel cost curves What do these curves, Equilibrium points tell us?
and Pollution (Air or Water) Q P Q# P# S*: marginal Private costs D S#:marginal Social costs P* Q* Relatively too much gets produced, At too low of a cost - how to Reduce externality effects?
and Pollution (Air or Water) Q P Q# P# S*: marginal Private costs D S#:marginal Social costs P* Q* Government can charge a tax ‘t’ on Each unit, where t = distance between The two supply curves - What is NSB? t
and Pollution (Air or Water) Q P Q# P# S*: marginal Private costs D S#:marginal Social costs P* Q* CS = (loss) A+B PS=(loss) E+F t P# - t AB E F
and Pollution (Air or Water) Q P Q# P# S*: marginal Private costs D S#:marginal Social costs P* Q* Third parties: (gain) B+C+F (avoided quantity between S curves) Govt revenue: A+E Total: gain of C t P# - t B F C A E C is reduced DWL of pollution eliminated by tax
and Distorted Market - Vouchers Example: rodent control vouchers Give residents vouchers worth $v of cost Producers subtract $v gov’t pays them Likely have spillover effects Neighbors receive benefits since less rodents nearby means less for them too Thus ‘social demand’ for rodent control is higher than ‘market demand’
and Distortion : p0,q0 too low Q P Q0 P0 S-v DMDM S D S: represents WTP For vouchers by all people P1 Q1 What is NSB? What are CS, PS?
and Social Surplus - locals Q P Q0 P0 S-v DMDM S DSDS P1 Q1 B P E P1+v A C What about other people in society, i.e. nearby neighbors? Because of vouchers, Residents buy Q1
and Nearby Residents Q P Q0 P0 S-v DMDM S DSDS P1 Q1 B P E P1+v A C Added benefits are area between demand above consumption increase What is cost voucher program? F G
and Voucher Market Benefits Gain (CS) from target pop: B+E Gain (CS) in nearby: C+G+F Producers (PS): A+C Program cost (vouchers):A+B+C+G+E ---- Net: C+F
and Opportunity Cost: Land Q P D b Price Government decides to buy Q acres of land, pays P per acre What is total cost of project? S
and Opportunity Cost: Land Q P D b Price Government pays PbQ0, but society ‘loses’ CS that they Would have had if government had not bought land. This lost CS is the ‘opportunity cost’ of other people using/buying land. S 0
and Another Example: Change in Demand for Concrete Project If Q high enough, has effect: q’ more Shifts demand - has supply/price effect Moves from (P0,Q0) to (P1,Q1).. And?? Q0 P0 D a Price Quantity D+q’ S P1 Q1
and Another Example: Change in Demand Original buyers: look at D, buy Q2 Total purchases still increase by q’ What is net cost/benefit to society? Q0 P0 D a Price Quantity D+q’ S P1 Q1 Q2
and Another Example: Change in Demand Original buyers: look at D, buy Q2 Project spends B+C+E+F+G on q’ units Project causes change in social surplus! Q0 P0 D Price Quantity D+q’ S P1 Q1 Q2 E B C FA G G G
and Another Example: Change in Demand Decrease in CS: A+B (negative) Increase in PS: A+B+C (positive) Net social benefit of project is B+G+E+F Q0 P0 D Price Quantity D+q’ S P1 Q1 Q2 E B C FA G G G
and Final Thoughts: Change in Demand Unless rise in prices high, C negligible So project outlays ~ social cost Opp. Cost equals direct expenditures adjusted by social surplus changes Q0 P0 D Price Quantity D+q’ S P1 Q1 Q2 E B C FA G G G
and Secondary Markets When secondary markets affected Can and should ignore impacts as long as primary effects measured and undistorted secondary market prices unchanged Measuring both usually leads to double counting (since primary markets tend to show all effects)
and Primary: Fishing Days Q1 P D Price Government decides to buy Q acres of land, pays P per acre What is total cost of project? b a Q0 MC0 MC1