What is the standard deviation of the market portfolio if the standard deviation of a fully diversified portfolio with a beta of 1.25 equals 18%

22.5%

Step-by-step explanation:

let the standard deviation for market portfolio = σₙ

Also let the standard deviation for fully diversified portfolio = σₓ

To calculate fully diversified portfolio

fully diversified portfolio has σₓ = βσₙ

From the given question beta (β) = 1.25

Also standard deviation for market portfolio (σₙ)  = 18% = 0.18

From the equation above,  σₓ = βσₙ = 1.25×0.18 = 0.225

                                                             = 22.5% (converting to percentage)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)