portfolio mgmt question


(Guest)

 hi this question is from mafa compilation. i would like to know how to solve the third part of the question, i.e. the one asking for std deviation. anyone?

X Co., Ltd., invested on 1.4.2005 in certain equity shares as below:

Name of Co.

No. of shares

Cost (Rs.)

M Ltd.

1,000 (Rs.100 each)

2,00,000

N Ltd.

500   (Rs.10 each)

1,50,000

In September, 2005, 10% dividend was paid out by M Ltd. and in October, 2005, 30% dividend paid out by N Ltd.  On 31.3.2006 market quotations showed a value of Rs.220 and Rs.290 per share for M Ltd. and N Ltd. respectively.

On 1.4.2006, investment advisors indicate (a) that the dividends from M Ltd. and N Ltd. for the year ending 31.3.2007 are likely to be 20% and 35%, respectively and (b) that the probabilities of market quotations on 31.3.2007 are as below: 

Probability factor

Price/share of M Ltd.

Price/share of N Ltd.

0.2

220

290

0.5

250

310

0.3

280

330

You are required to:

(i)      Calculate the average return from the portfolio for the year ended 31.3.2006;

(ii)     Calculate the expected average return from the portfolio for the year 2006-07; and

(iii)    Advise X Co. Ltd., of the comparative risk in the two investments by calculating the standard deviation in each case.                                                                    (8 Marks) (November, 2006)