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Mathematics

A man buys 400 ten-rupee shares at a premium of ₹2.50 on each share. If the rate of dividend is 8%, find

(i) his investment

(ii) dividend received

(iii) yield.

Shares & Dividends

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Answer

(i)
Number of shares = 400

Nominal Value per share = ₹10

As the man buys the shares at ₹2.50 premium,

Market Value per share = ₹10 + ₹2.50 = ₹12.50

Total Investment = No. of shares x MV per share
= 400 x 12.5
= 5000

∴ Investment of man = ₹5000

(ii)
Rate of Dividend = 8%

Annual Dividend = No. of shares x Rate of Dividend x Nominal Value per share

=400×8100×10=320= 400 \times \dfrac{8}{100} \times 10 \\[0.5em] = \bold{₹320}

∴ Dividend received = ₹320

(iii)
Yield means the rate of return on investment.

%Return=(Annual Inc.Investment×100)%=(3205000×100)%=(325)%=6.4%\% \text{Return} = \Big(\dfrac{\text{Annual Inc.}}{\text{Investment}} \times 100\Big)\% \\[0.5em] = \Big(\dfrac{320}{5000} \times 100\Big) \% \\[0.5em] = \Big(\dfrac{32}{5} \Big) \% \\[0.5em] = \bold{6.4\%}

∴ Yield = 6.4%

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