1 thought on “A share of FV ₹ 10 is purchased for MV ₹ 12 . Dividend declared is 18%. Complete the following activity to find the rate of return”
[tex]\large\underline{\sf{Given- }}[/tex]
Face value of share = ₹ 10
Market value of share = ₹ 12
Dividend % = 18 %
[tex]\large\underline{\sf{To\:Find – }}[/tex]
Rate of return
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
Face value of share = ₹ 10
Market value of share = ₹ 12
Dividend % = 18 %
Let number of shares purchased be ‘x’.
We know,
[tex]\rm :\longmapsto\:Income \: = \: D \: \% × \: F.\: V. \times number \: of \: shares[/tex]
where,
D % = Dividend %
F. V. = Face Value of 1 share
[tex]\rm :\implies\:Income = \dfrac{18}{100} \times 10 \times x = 1.8x[/tex]
Now,
Investment = Market Value × number of shares
Investment = ₹ 12x
So,
[tex]\rm :\longmapsto\:Rate \: of \: return = \dfrac{Income}{Investment} \times 100\%[/tex]
[tex]\rm :\longmapsto\:Rate \: of \: return = \dfrac{1.8x}{12x} \times 100\%[/tex]
[tex]\rm :\longmapsto\:Rate \: of \: return = 15\%[/tex]
Basic Concepts :-
Nominal value (N.V.) or face value (F.V.): The original value of a share printed in the certificate of the share is called its nominal value (N.V.) or face value (F.V.) or per value. The face value or nominal value of a share always remains same.
Market value (M.V.): The price at which the share is sold or purchased in the capital market through stock exchanges is called its market value (M.V.). The market value of a share changes from time to time.
At par: If the market value of a share is the same as its face value, the share is called at par.
At premium or above par: The share of a company that is doing well or expected to do well is sold in the market at a price higher than its face value (F.V.). In such a situation, we say the share is at a premium or above per. For example, if a share of face value of ₹ 50 is selling at ₹ 70, then it is said to be selling at a premium of ₹ 20 or at ₹ 20 above par.
At discount or below par: The share of a company that is doing poorly or may do poorly is the future is sold in the market at a price lower than its face value (F.V.). In such a situation, we say the share is at a discount or below par. For example, , if a share of face value of ₹ 50 is selling at ₹ 40, then it is said to be selling at a discount of ₹ 10 or at ₹ 10 below par.
Dividend: The profit which a share holder gets (out of the profits of the company) for his investment from the company is called dividend.
[tex]\large\underline{\sf{Given- }}[/tex]
[tex]\large\underline{\sf{To\:Find – }}[/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
Let number of shares purchased be ‘x’.
We know,
[tex]\rm :\longmapsto\:Income \: = \: D \: \% × \: F.\: V. \times number \: of \: shares[/tex]
where,
[tex]\rm :\implies\:Income = \dfrac{18}{100} \times 10 \times x = 1.8x[/tex]
Now,
So,
[tex]\rm :\longmapsto\:Rate \: of \: return = \dfrac{Income}{Investment} \times 100\%[/tex]
[tex]\rm :\longmapsto\:Rate \: of \: return = \dfrac{1.8x}{12x} \times 100\%[/tex]
[tex]\rm :\longmapsto\:Rate \: of \: return = 15\%[/tex]
Basic Concepts :-
Nominal value (N.V.) or face value (F.V.): The original value of a share printed in the certificate of the share is called its nominal value (N.V.) or face value (F.V.) or per value. The face value or nominal value of a share always remains same.
Market value (M.V.): The price at which the share is sold or purchased in the capital market through stock exchanges is called its market value (M.V.). The market value of a share changes from time to time.
At par: If the market value of a share is the same as its face value, the share is called at par.
At premium or above par: The share of a company that is doing well or expected to do well is sold in the market at a price higher than its face value (F.V.). In such a situation, we say the share is at a premium or above per. For example, if a share of face value of ₹ 50 is selling at ₹ 70, then it is said to be selling at a premium of ₹ 20 or at ₹ 20 above par.
At discount or below par: The share of a company that is doing poorly or may do poorly is the future is sold in the market at a price lower than its face value (F.V.). In such a situation, we say the share is at a discount or below par. For example, , if a share of face value of ₹ 50 is selling at ₹ 40, then it is said to be selling at a discount of ₹ 10 or at ₹ 10 below par.
Dividend: The profit which a share holder gets (out of the profits of the company) for his investment from the company is called dividend.