Mulherin's stock has a beta of 1.23, its required return is 11.75%, and the risk-free rate is 2.30%. What is the required rate of return on the market? (Hint: First find the market risk premium.) Do not round your intermediate calculations. a. 9.98% b. 7.69% c. 8.19% d. 12.38% e. 10.58%

a. 9.98%

Explanation:

The computation of required rate of return is shown below:-

Required return= Risk - Free rate + Beta × (Market rate- Risk-free rate)

11.75% = 2.30% + 1.23 × (Market rate - 2.3%)

(11.75% - 2.30%) ÷ 1.23 = Market rate - 2.3%

Market rate = (11.75% - 2.30%) ÷ 1.23 + 2.3%

=9.98%

Therefore for computing the required rate of return on the market we simply applied the above formula.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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