vrijdag 4 januari 2019

Peter Lynch diagram logarithmic vs linear for Apple plus buyback back of the envelope math

Gurufocus introduced me to the idea of "Peter Lynch" charts. This isn't "technical analysis" of a stock's price, but a comparison between price and a part of value determination. One is the scoreboard (price), the other what is happening on the playing field (how is the company doing). Gurufocus uses linear charts, so it often seems as if the recent past was the best (steepest curve).



Lynch himself preferred logarithmic charts where you get a better grasp of the actual relative rate of growth. Francisco Parames also uses Peter Lynch diagrams for European stocks,  Parames like Lynch and unlike Gurufocus, uses a logarithmic scale. 
 I use a weighted Earnings per Share over 3 years in this logarithmic Peter Lynch graph for Apple:
Surprisingly, the 4 years before the iPhone launch in the second half of 2007 seemed to be better for investors than the first 4 years after the iPhone was first introduced...

Here is a linear chart I made in 2013 when the price was $400, adjusted for the 7-1 stock split in 2014 that would be: $57, not a bad price considering today's price of $142 but also considering earnings at the time.


The question is: "What do you expect in a couple of years? Earnings?" In this case Earnings per Share (as a Shareholder that is more important to me than total company earnings).

I don't know how the company will do.

Stupid assumption 1: Unchanged earnings. Say $50b a year.

There are 4,8b shares outstanding. Price is $142 per share. Cash $130b.

Stupid assumption number 2: Unchanged stock price.

Apple's CEO Tim Cook has said he will use cash to buy shares (and pay dividends).

$130b cash @$142 per share = 0,92b share buy back.

Share count: 4,8b - 0,92b = 3,9b shares

Buyback per year: $50b @$142 per share = 0,35b

Shares end of year 1: 3,9b - 0,35b = 3,55b

Earnings per share: $50b/3,55 shares = $14 EPS end of year 1

Shares end of year 2: 3,55b - 0,35b share buyback = 3,2b

Earnings per share: $50b/3,2b = $15,6 EPS end of year 2

Earnings per share: $50b/2,85b shares = $17,54 end of year 3

Earnings per share: $50b/2,5 shares = $20 end of year 4

Earnings per share: $50/2,15 = $23 end of year 5

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