A sum of 2314 was invest in 7% at 85. When it rose to 90 all the shares were sold. In the meanwhile dividend was received. For purchasing the brokerage was 1 % while selling it was 1/2%. What is the total gain or loss in the total transaction ?
Answers
Answer:
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Mathematical and Statistical Techniques
F.Y.B.Com. Semester- I
Unit 1 Shares and Mutual Funds
i) Shares is the smallest unit of the capital of a company.
Buying: Actual price of the share = Market value + Brokerage per share
Selling: Actual price of the share = Market value - Brokerage per share
Number of shares purchased / sold =
Dividend is a part of the profit made by the company is distributed amongst the
shareholders.
Dividend per share = Face value x rate of dividend
Total Dividend = Face value x rate of dividend x number of shares
Bonus shares: profit made by the company is distributed amongst the
shareholders in the form of shares.
ii)Mutual Fund is a pool of money collected from investors and invest in
stocks.
Net Asset value (N.A.V) =
Entry load and Exit load are the brokerage while buying and selling the mutual fund
respectively.
Buying: Actual price of the Mutual fund = N.A.V + Entry load per share
Selling: Actual price of the Mutual fund = N.A.V - Exit load per share.Systematic Investment plan( S.I.P)
Qn. An investor joined the S.I.P scheme, for a mutual fund, under which he would
invest Rs. 750 for 4 months. If the N.A.Vs for each month are Rs.75,Rs.60,Rs.25 and
Rs.50, find the average unit cost using Rupee Cost Averaging method and compare it
with Arithmetic Mean of prices if the entry load was 2% through out, correct to 4
decimal places.
Ans:
Months Sum
invested
NAV Entry load
2%
Price per
unit
Number of
units.
1
2
3
4
750
750
750
750
75
60
25
50
1.5
1.2
0.5
1
76.5
61.2
25.5
51
9.8039
12.2549
29.4118
14.7059
Total 3000 214.2 66.1765
Rupee cost average = = = 45.3333
A.M. of prices = = = 53.55
Thus the average price using Rupee cost method is less than A.M of prices.
Answer:
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