Calculate the implicit and explicit tax rates for the following three assets. The required pretax total rate of return Ro for each asset is: 15% for the fully taxable asset, 20% for the partially taxable asset, and 10% for the tax exempt asset. The required pretax risk premium Rrp for each asset is 3% for the fully taxable, 9% for the partially taxable, and 0% for the tax exempt asset. Prepare a table similar to Table 5.2 (first ignoring risk differences and then adjusting for risk differences across assets). Discuss your results. In particular, when ignoring risk differences:
a. What is the top statutory tax rate?
b. Is the partially taxable asset really partially taxable or is it tax disfavored?
c. After adjusting for risk differences, what is the top statutory tax rate? Which asset is most risky?
Table 5.2

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Fully Taxable Bond (asset b) 20% Partially Taxable Bond (asset a) 12% Tax-Exempt Bond (asset m) Required pretax return Ro 12% Ignoring Risk Differences Rm :-r* 12%, implies Explicit tax rate t Implicit tax rate t Total tax rate (20%-12%)/20% = 40% (20%-20%)/20% = 0% 40% (12%-12%)/20% 0% (20%-12%)/20% = 40% 40% (12%-12%)/20% = 0% (20%-12%)/20% = 40% 40% Adjusting for Risk Differences Required pretax risk premium RP 5% 2% 3% 15% (1596-9%)/15% (15%-15%)15% 10% (1096-9%)/15% 6.7% (15%-10%/15% # 9% (9%-9%)/15% (15%-9%/15% = 40% r* Explicit tax rate t 40% 0% Implicit tax rate t 0% 33.3% Total tax rate 40% 40% 40% Other calculations: g (% of return taxable)" 尸=Ra (1-gt) 100% 15(1-1 × .40) = 996 05(1-1x .40):3% 25% 10(1-.25 × .40) = 9% 02(1-.25 x .40) 1.8% 0% .09(1-0 × .0) = 9% .03(1-0 .0) 3%