A stock has an expected return of 15.0 percent, its beta is 0.90, and the risk-free rate is 5.3 percent. What must the expected return on the market be

16.07%

Explanation:

The computation of the expected return on the market is shown below

As we know that

Expected Return on stock = Risk free return + beta ( Expected Market Rate of Return - Risk free return )

15 % = 5.3% + 0.90 × (Expected Market Rate of Return - 5.3%)

15 % - 5.3% ÷ 0.90 = Expected Market Rate of Return - 5.3%

10.77% = Expected Market Rate of Return - 5.3 %

So, expected market rate of return is

= 10.77 + 5.3%

= 16.07%

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.

a.