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QUESTION 1 An analyst estimates that a stock has the following return probabilit

ID: 2762333 • Letter: Q

Question

QUESTION 1

An analyst estimates that a stock has the following return probabilities and returns depending on the state of the economy. Calculate the percentage expected rate of returns.

QUESTION 2

Use the following table of states of the economy and stock returns to calculate the percentage standard deviation for Bradley.

Security Returns

if State Occurs

  

QUESTION 3

Use the following table of states of the economy and stock returns to calculate the expected return on a portfolio of 51 percent Roten and the rest in Bradley.

Security

if State

Returns

Occurs

QUESTION 4

Use the following table of states of the economy and stock returns to calculate the percentage standard deviation of a portfolio of a portfolio of 12 percent Roten and the rest in Bradley.

Security

if State

Returns

Occurs

QUESTION 5

Use the following information to calculate the percentage expected return a portfolio that is 55.3 percent invested in 3 Doors, Inc., and the rest invested in Down Co.:

  

QUESTION 6

Use the following information to calculate the percentage standard deviation of a portfolio that is 72.5 percent invested in 3 Doors, Inc., and the rest invested in Down Co.:

Stae of Economy Prob. Return Good 0.2 18% Normal 0.4 11 Poor ? 5

Explanation / Answer

Answer-1

Expected Return = (0.2*18%) + (0.4*11%) +(0.4*5%) = 10%

Answer-2

E(X) = 0.2 * 22.2% + 0.5 * 7.1% = 14.65%

E(X^2) = 0.5 * 22.2%^2 + 0.5 * 7.1%^2 = 2.72%

standard deviation = sqrt ( E(X^2) - E(X)^2)

= 7.55%

Answer-3

Return on Roten = (.4*-13%) + (.6*42%) = 20%

Return on Bradley = (.4*34%) + (.6*11%) = 20.20%

Return on portfolio = (.51*20%) + (.49*20.20%) = 20.10%

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