11. a. At t = 0, the value of the index is: (90 + 50 + 100)/3 = 80
At t = 1, the value of the index is: (95 + 45 + 110)/3 = 83.333
The rate of return is: (83.333/80) − 1 = 4.17%
12. a. Total market value at t = 0 is: ($9,000 + $10,000 + $20,000) = $39,000
Total market value at t = 1 is: ($9,500 + $9,000 + $22,000) = $40,500
13. The after-tax yield on the corporate bonds is: 0.09 (1 – 0.30) = 0.063 = 6.30%
Therefore, municipals must offer a yield to maturity of at least 6.30%.
14. Equation (2.2) shows that the equivalent taxable yield is: r = rm /(1 – t), so simply
substitute each tax rate in the denominator to obtain the following: