10 question Multiple choice App & stat optimiztion

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Question 1 (2 points)

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CASE 1 A payoff table of maximization problem is given       

 

 

State of Nature

Decision

s1

s2

s3

d1

250

  750

  500

d2

300

-250

1200

d3

500

  500

  600

 What choice should be made by the optimistic decision maker?

Question 1 options:

d2

d1

d3

d1 and d3

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Question 2 (2 points)

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case 1 (continued)

What choice should be made by the conservative decision maker?

Question 2 options:

d1

d2

d3

d1 and d2

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Question 3 (2 points)

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Case 1 (continued)

What decision should be made under minimax regret?

Question 3 options:

d1

d2

d3

d2 and d3

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Question 4 (2 points)

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case 1(continued)

If the probabilities of s1, s2, and s3  are .2, .5, and .3, respectively, then what choice should be made under expected value?

Question 4 options:

d1

d2

d3

non of these alternatives is correct

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Question 5 (2 points)

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Case 1(continued)

 What is EV (d1)?

Question 5 options:

EV(d1)=360

EV(d1)=-75

EV(d1)=575

15

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Question 6 (2 points)

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Case 1 (continued)

 EV(d3) is

Question 6 options:

300

250

575

530

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Question 7 (2 points)

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  EV(d2) is

Question 7 options:

295

575

600

530

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Question 8 (2 points)

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 Case 1 continued

 EVPI is 

Question 8 options:

200

260

180

130

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Question 9 (2 points)

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 Case 2

 

Moving averages often are used to identify movements in stock prices. Daily closing prices (in dollars per share) for IBM for August 24, 2005, through September 16, 2005, follow (Compustat, February 26, 2006).

Day

Price ($)

Day

Price ($)

August 24

81.32

September 7

80.98

August 25

81.10

September 8

80.80

August 26

80.38

September 9

81.44

August 29

81.34

September 12

81.48

August 30

80.54

September 13

80.75

August 31

80.62

September 14

80.48

September 1

79.54

September 15

80.01

September 2

79.46

September 16

80.33

September 6

81.02

 

 

 Use a three-day  moving average to smooth the time series. Forecast the closing price for the next trading day using manual calculations and Excel.Please, find MSE using Excel.

 

 

Question 9 options:

Forecast for the next trading day is 80.55

MSE is .45

Forecast for the next trading day is 80.31

 MSE is .42

Forecast for the next trading day is 80.27

 MSE is .50

non of these alternatives is correct

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Question 10 (2 points)

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Case 2 (continued)

Use exponential smoothing with a smoothing constant of α=.6 to smooth the time series. Forecast the closing price for the next trading day. Use manualy calculations and Excel. Find MSE. Please use Excel.

Question 10 options:

Forecast for the next trading day is 80.21

MSE is .52

Forecast for the next trading day is 80.31

MSE is .55

Forecast for the next trading day is 80.31

MSE is .42 (0.416)

Non of these alternatives is correct

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