Calculations redone using 280/= as advised by @murchrThe method they use to calculate the new price is
still flawed. It overvalues the share because it does not take cognizance of the money pocketed by the shareholders.
Take for example last year.
Share price 280/=
Dividend: 25% * 280 = 70/=
Re-invested = 65% * 70 = 45.5/=Paid = 35% * 70 = 24.5/=
From my mathematics:
New Price = Old price + reinvested amount
= 280 + 45.5
= Ksh 325.5/=
You cannot add the whole 70/= to get the new price because you have already taken out 24.5/=
These guys added the whole 70/= to 280/= to get 350/= ignoring the fact that they had already paid out 24.5/=
Not matter how you dice and slice it, you can't get 350/=
But with this approach, the current price should be Kshs. 325.5/= NOT 350/=And it get worse!!!From these calculations, you should remain with
the same number of shares but now worth 325.5/=. But in this case (what they are doing), you end up with
more shares, valued at a
higher price (350/=)!
Simple case:
Say you had 10,000 shares worth 280/=
Your dividends are 10,000 * 280 * 25% = 700,000/=
re-capitalized = 65% * 700,000 = 455,000/=
Cash paid = 25% * 700,000 = 175,000/=
Number of new shares allocated = 455,000 / 280 = 1,625/=
Total Number of Shares = 10,000 + 1,625 = 11,625
Price Changes immediately to 350/=, so now the value of your shares is:
11,625 * 350 = 4,068,750/=
Add 175,000 cash and you have 4,068,750 + 175,000 =
4,243,750/=But the real value is (10,000 * 280) + (10,000 * 280 * 25%) =
3,500,000/==> The first bracket is for original value. The second one is for the total prorated profit attributable to your shares.
Your shares are now overvalued by 4,068,750 - 3,500,000 =
568,750/=And that is just in the first year! And remember this will be
compounded every year.
If you re-invest all your earnings:-Number of new shares allocated = 700,000 / 280 = 2,500/=
Total Number of Shares = 10,000 + 2,500 = 12,500
Price Changes immediately to 350/=, so now the value of your shares is:
12,500 * 350 = 4,375,000/=
Your shares are now overvalued by 4,375,000 - 3,500,000 =
875,000/=Then compound that annually.
They need a mathematician down there if not a finance guy!!!Never count on making a good sale. Have the purchase price be so attractive that even a mediocre sale gives good returns.