Inter-temporal Investment/Consumption
a. Summarize Fisher’s separation theorem.
b. Why is this theorem important to both investors and
corporations?
c. Why is the existence of a capital market important to the
theorem? Illustrate this graphically in the two-period framework
and show/explain how consumers will maximize utility.
d. What are some of the assumptions that cause the theorem to
hold?
Explain the following issues of the Capital Asset Pricing
Model:
Explain the separation theorem of the CAPM.
What does the beta (β) measure?
What is the alpha (α) of a stock?
Describe the security market line (SML).
Describe the capital market line (CML).
Answer both parts of the question.
(a) [30 marks] Discuss the Two Fund
Separation Theorem. Derive the Capital Asset Pricing Model (CAPM)
which determines that all equity portfolio investors must hold the
same risky portfolio.
(b) [20 marks] Explain how the
performance of a CAPM based portfolio, measured by cumulative
returns of the portfolio, can be enhanced using using a Regime
Switching approach for the stock market index.
Why is it important to follow the order of elution solvents for
the separation of the pigments found in spinach by column
chromatography? Why is the first elution solvent hexanes followed
by 70:30 Hexane:Acetone?
1.What is the central limit theorem and why is it important in
statistics? 2.Explain the differences between the mean, mode and
median. Which is the most useful measure of an average and why?
3.Which is a more useful measure of central tendency for stock
returns – the arithmetic mean or the geometric mean? Explain your
answer.
Explain what it is a neutral theorem
in Euclidean geometry.
State & prove both: the theorem on construction of parallel
lines and its converse. Which one of them is neutral?
Explain how an investor can use the separation theorem and
utility theory to produce an efficient portfolio suitable for
his/her level of risk tolerance.