QUESTION 1
[25 Marks]
1. You invest 50% of your money in security A with a beta of 1.6 and the rest of your
money in security B with a beta of 0.7. Calculate the beta of the resulting portfolio.
(3)
2. Security Z has an expected rate of return of 0.11. It has a beta of 1.5. The risk-free rate is 0.05
and the market expected rate of return is 0.09. According to the Capital Asset Pricing Model, is
this security priced fairly, underpriced, or overpriced? Show your calculations to justify your
answer.
(3)
3. Compute the price of a share of stock that pays a N$1 per year dividend and that you
expect to be able to sell in one year for N$20, assuming you require a 15% return. (2)
4. Assuming that the rational expectations theory is the correct theory of the term
structure, calculate the interest rates in the term structures for maturities of one to
five years, and plot the resulting yield curves for the following series of one-year
interest rates over the next five years:
a) 5%, 7%, 7%, 7%, 7%
(6)
b) 5%, 4%, 4%, 4%, 4%
(6)
c) Briefly discuss the rationale behind the expectations theory
(5)
2