Current Price
1.
Current price
Current price = (divided paid (1 + divided growth)) / (return needed)
In our case therefore we get the current price using the above model
Current price = (2.20 (1 + 4%)) / (11%)
Current price = 20.8
Price in three years
The future value of these shares will be determined using the discount rate and the present value,
Future value = Present value X (1+ r) t
Current Price
Where r is the rate of interest or the discount rate and t is time in years
Future value = 20.8 X (1+ 0.11) 3
In three years the value will be 28.44672
Price in 15 years
Future value = 20.8 X (1+ 0.11) 15
In 15 years the price will be 99.51946
2.
Current price = (divided paid ( 1 + divided growth)) / (return needed)
47.0 = (1.90 ( 1 + 5.50)) / (return needed)
Return needed = 0.042649
Current Price
This means that the required return is 4.26%
3.
Dividend yield
Divided yield is calculated by dividing the recent divided paid by the current share price,
Therefore in our case the dividend yield is derived from 1.9 / 47.0 = 0.040426
Therefore divided yield is 4.043 %
Capital gains yield
The capital gain yield is calculated by getting the difference between the original price of the stock and the current or the selling price then dividing the difference by the original price
Capital gain yield = (C1 – C0) / ( C0)
Where C1 is the selling price and C0 is the original price
3 years
Current Price
For three years the capital gain yield will be:
= (28.44672 – 20.8)/ 20.8
0.367631
= 36.7631%
15 years
= (99.51946- 20.8)/ 20.8
3.784589
= 378.4589%
4.
Diamond Corporation
Current price = (divided paid ( 1 + divided growth)) / (return needed)
Current Price
Current price = (3.75 ( 1 + 5.5%)) / (12%)
Current price = 32.96875
Therefore the investor will be required to pay 32.96875
8. Gesto Inc
Current price = (divided paid) / (return needed)
84.12 = 5 / return needed
Required return = 0.059439
Therefore the required return is 5.94%
9.
Straight voting:
Current Price
In straight voting equal the shares present and therefore each director is elected separately, for this reason therefore there is a need to purchase at least half of the shares in order to win, for this reason therefore you may decide to purchase 150,001 shares, therefore this will cost you 9,450,063
Cumulative voting:
In cumulative voting we determine the number of shares needed as follows:
S = [(TN) / D+1)] + 1
Where S is the number of shares needed, T is the total number of shares, N is director’s number and D is the elected directors
S = 240001
The cost is 15,120,063
References:
Groppelli and E.Nikbakht (2006) Finance: introduction to finance, McGraw Hill publishers, New York
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