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Suppose we are deciding between two alternative investments for the coming year.

ID: 3128588 • Letter: S

Question

Suppose we are deciding between two alternative investments for the coming year. The first investment is a mutual fund that consists of shares which do well when economy is strong. The second investment is a mutual fund that consists of shares that do well when economy is weak. Your estimate of returns per each investment is provided below with a probability of their occurrence. Using excel calculate the correlation between these mutual funds and interpret. Show all your work.

Economy

P(X, Y)

Strong-economy fund

Weak-economy fund

Recession

0.20

-100

200

Stable

0.45

100

50

Progressing

0.35

250

-100

Economy

P(X, Y)

Strong-economy fund

Weak-economy fund

Recession

0.20

-100

200

Stable

0.45

100

50

Progressing

0.35

250

-100

Explanation / Answer

From Excel

We conclude that there is strong negative correlation between them

Strong-economy fund Weak-economy fund Strong-economy fund 1 Weak-economy fund -0.99662 1
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