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Ten-Year Impacts of Burkina Faso’s BRIGHT Program

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V. COST-EFFECTIVENESS AND COST-BENEFIT ANALYSIS MATHEMATICA POLICY RESEARCH<br />

Once we have the increased earnings for each cohort, we add up the additional earnings<br />

gained by all cohorts in the given year. So, for example, in 2009, only the 1994 cohort<br />

experiences an increase in earnings, whereas in 2010, the 1994 and 1995 cohorts are earning<br />

more. We then use the 10 percent discount rate to calculate the net present value <strong>of</strong> these<br />

earnings (as we did for the costs in each year); we present them in the second row <strong>of</strong> panels A<br />

and B in Table V.8.<br />

Finally, we can compare the costs and benefits. First, we calculate the net benefits by<br />

subtracting the costs from the benefits. These are presented in the third row <strong>of</strong> each panel. The<br />

relative costs and benefits can also be compared by dividing the benefits by the costs to produce<br />

the benefit-cost ratio, which is presented in the fourth row <strong>of</strong> each panel. If the benefits exceed<br />

the costs, the net benefits are positive and the benefit-cost ratio is greater than one. Based on<br />

these estimates, benefits do not exceed costs for any <strong>of</strong> the scenarios.<br />

Table V.8. Benefit-cost estimates <strong>of</strong> the <strong>BRIGHT</strong> program per village<br />

Benefit scenarios<br />

Cost scenarios High return to schooling Low return to schooling<br />

Panel A: High traditional government school cost<br />

Total six-year marginal benefits in 2006 $86,959 $37,607<br />

Total six-year marginal costs in 2006 $126,742 $126,742<br />

Net benefits a -$40,783 -$89,135<br />

Benefit-cost ratio b 0.68 0.30<br />

ERR c 8% 4%<br />

Panel B: Low traditional government school cost<br />

Total six-year marginal benefits in 2006 $86,959 $37,607<br />

Total six-year marginal costs in 2006 $194,650 $194,650<br />

Net benefits a -$108,691 -$157,043<br />

Benefit-cost ratio b 0.44 0.19<br />

ERR c 6% 3%<br />

Note: The estimates <strong>of</strong> benefits and costs are carried out at the village level, which was the level <strong>of</strong> implementation <strong>of</strong><br />

the <strong>BRIGHT</strong> program.<br />

a<br />

Calculated by subtracting total costs from total benefits.<br />

b<br />

Calculated by dividing total benefits by total costs.<br />

c<br />

This is the discount rate at which the net benefits are equal to zero.<br />

As explained in Section A <strong>of</strong> this chapter, these estimates assume a fixed discount rate. A<br />

different way to calculate the relative gain from the project is to determine the discount rate that<br />

is large enough that the net benefits are equal to zero. This is the discount rate at which the net<br />

present value <strong>of</strong> the costs equals the benefits. To do this, we take the costs and benefits for each<br />

year calculated for the benefit-cost ratio as we describe above, but instead <strong>of</strong> using a discount<br />

rate <strong>of</strong> 10, we determine the discount rate that balances the net present value <strong>of</strong> each. These<br />

values are provided in the fifth row <strong>of</strong> both panels in Table V.8.<br />

The estimated ERRs range between 3 percent and 8 percent. When we assume that the<br />

return to schooling is high, the ERRs are 8 percent in the high-cost traditional government<br />

schools scenario and 6 percent in the low-cost traditional school scenario. For the assumption <strong>of</strong><br />

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