John Barleycorn estimates his firm$$s after$-$tax WACC at only $8\%.$ Nevertheless he sets a $15\%$ companywide discount rate to offset the optimistic biases of project sponsors and to impose $$discipline$$ on the capital$-$budgeting process. Suppose Mr$.$ Barleycorn is correct about the project sponsors, who are in fact optimistic by $7\%$ on average. Will the increase in the discount rate from $8\%$ to $15\%$ offset the bias?