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Consider following portfolio: Portfolio Weight Industry Expected Return Standard Derivation Stock W (50%) Financial 16%p.a. 30%p.a. Stock X (30%) Real Estate 18% p.a. 25%p.a. Stock

Consider following portfolio:

Portfolio Weight

Industry

Expected Return

Standard Derivation

Stock W

(50%)

Financial

16%p.a.

30%p.a.

Stock X

(30%)

Real Estate

18% p.a.

25%p.a.

Stock Y

(10%)

Hospitality

12% p.a.

15%p.a.

Stock Z

(10%)

Utilities

7% p.a.

5%p.a.

(i) Calculate the expected return of above portfolio. (2 marks)

(ii) Explain the purpose of diversification? Is it possible to diversify away all the risk? (2 marks)

(iii) The expected return of Stock X (18%p.a.) is higher than that of Stock W (16%p.a.), while the Standard deviation of Stock X (25%p.a.) is less than that of Stock W (30%p.a.). Does it necessarily violate the risk-return tradeoff principle? Justify your answer. (4 marks)

(iv) The portfolio standard derivation would most likely higher than, equal to or lower than 24.5%p.a.? Justify your answer with appropriate assumption. (5 marks)

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