a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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The following table represents the rate of returns of two stocks in different
economic conditions along with their probabilities (the data are also uploaded on
moodle)
RATES OF RETURN ON STOCKS
EXPECTED
ЕCONOMIC
PROBABILITY
STOCK A
STOCK B
CONDITIONS
RECESSION
0.55
-0.04
-0.02
STABLE
0.35
0.25
0.30
EXPANDING
0.10
0.15
0.20
Answer the following by using mathematical calculations:
a) Calculate the expected rate of return for each stock respectively. Explain
what the expected value implies.
b) Calculate the standard deviation for each stock respectively. Explain what
the standard deviation implies.
c) If you were an investor in which stock you were going to invest? Justify
your answer.
d) Calculate the covariance between Stock A and stock B. Discuss.
e) Calculate the expected return and the standard deviation of the portfolio
consisting 40% in stock A and 60% in stock B.
1) Discuss the risk and return associated with investing
i. All of your funds in stock A
ii. All of your funds in stock B
40% of your funds in stock A and 60% of your funds in StockI
iii.
Transcribed Image Text:The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ЕCONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. 1) Discuss the risk and return associated with investing i. All of your funds in stock A ii. All of your funds in stock B 40% of your funds in stock A and 60% of your funds in StockI iii.
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