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QUESTION ONE (a) Explain and illustrate graphically the options concept of being: (i) at the money (ii) in the money (iii) out of the money

QUESTION ONE

(a) Explain and illustrate graphically the options concept of being:

(i) at the money

(ii) in the money

(iii) out of the money

For both a call and put option.

(b) Explain with the aide of a diagram a protective put buying strategy.

QUESTION TWO

  1. The rates of return of stock A and the market portfolio for the 12 months are given below:
Month 1 2 3 4 5 6 7 8 9 10 11 12
Stock A (%) 10 15 18 14 16 16 18 4 4 14 15 14
Market Portfolio (%) 12 14 13 10 9 13 14 7 1 12 4 16

  1. Compute the average return of stock A and the market.
  2. Determine the variance of the return of stock A and the market.
  3. Find the covariance between the return of stock A and the market portfolio.
  4. Estimate the beta factor for stock A.

QUESTION THREE

  1. The table below shows the performance of two shares A and B under four different economic conditions and their associated probabilities of occurrence:
Economic Condition Rate of return % Rate of return % Probabilities Probabilities
A B A B
Growth 18.50 16.50 0.25 0.45
Expansion 12.75 14.00 0.25 0.20
Stagnation 1.25 1.80 0.25 0.20
Recession -6.00 -4.50 0.25 0.15

Calculate:

  1. The expected rate of return for shares A and B.
  2. The standard deviation of the returns for shares A and B.
  3. The coefficient of variation of returns for shares A and B.
  4. Advise an investor on the preferred share.

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