Shares

Profit

Profit from shares or total share return (TSR) for period i is calculated by

\[r_i = TSR = \frac{d+(P_i-P_0}{P_0}*100\%\]

where

d - sum of dividents
\(P_i\) - share price at the end of the period
\(P_0\) - share price at the beginning of the period

Market adjustment return (accounts market return - \(k_m\)).

\[MAR = \frac{1+TSR}{1+k_m}\]

\(k_m\) could be risk-free instruments or market index

Oportunity adjustment return (accounts profit of compalien fron the same field)

\[OAR = \frac{1+TSR}{1+k_s}\]

\(k_s\) - return in the company field

Risk

Share risk is measured by standard profit deviation (\(\sigma\)) or by coefficient of variation (cv)

Standard profit deviation is calculated as \[\sigma=\sqrt{\frac{\sum_{i=1}^{n}(r_i-r)}{n-i}}\]

where

\(r\) - average profit for a period
\(r_i\) - profit for a period i
\(n\) - period number

Share_risk.xlsx

Classical approach is to use monthly profit on five years interval (60 periods of observation)

Historical data for US market (1928-2008, 1 year interval) shows that real risk distribution is close to normal distribution

Profit probability is:

  • 68.3%: \(avg\pm \sigma\)
  • 95.5%: \(avg\pm 2\sigma\)
  • 99.7%: \(avg\pm 3\sigma\)

Risk and Profit relationship

To account ralationship between risk and profit, Sharpe ratio is used \[S_a=\frac{r_i-r_f}{\sigma_i}\]

where

\(r_i\) - profit from investment
\(\sigma_i\) - investment risk (standard diviation)
\(r\) - profit from risk-free investment

Portfolio Risk

Portfolio risk is much less than risk then risk of individual shares

For US market 20 shares is enough for diverced portfolio, for Russian market 10 shares is enough. Diversification should account shares sector (telecom, retail, etc)

Historical Data

Historical data for US market (1928-2008) is shown below

TypeAnnual Profit, %Risk Premium, %Risk (\(\sigma\))
T-Bonds3.74-3.02
10-yr bonds5.451.717.61
Stocks (D&J Index)10.186.4419.53

For investment perion more than ten years risk decreases dramaticaly and there were no 30 years intervals on US market so far with negative profit

Ratios

Financial results could be found here https://finbox.com/NYSE:JNJ/financials/balance_sheet

  • P/E - price over earnings. High value shows that company has high share price. Earnings are very unstable paremeters
  • P/S - Price over sales

*P/BV - Price over book values or Capitalisation over equity

In this ratio it is hard to include cost of brand, that is very important for Consumer Cyclical (Discretionary) потребительский sector and Consumer Defensive (Staples) потребительские goods. For such companies P/BV should not be used!!!

Capitalisation could be found on stock exchange sites

https://www.nasdaq.com/market-activity/stocks/ko

https://www.moex.com/ru/issue.aspx?board=TQBR&code=VTBR

Capital could be found in Statement of Financial Position

P/BV = 234 094 300 573 / 19 299 000 000 = 12,13

*Corrected P/BV - Capitalisation / ( over shareholders equity - Preferred stocks equity + Treasury stocks + R&D expenses)

Treasury stocks decrease capital however they could be nulify or sold. R&D does not account in equity, howeher they help company to get money. It is assumed that R&D investment fully lost in 10 years. So, year year company lost 10% of R&D capital

P/BV = 234 094 300 573 / (19 299 000 000 -1 + 52 016 000 000) = 3.28

* ROA

Return on assets= EBIT / Assets.

* ROC

Return on company= EBIT(1-T) / (E+D).

T - tax rate E - equity D -debt

* ROE

Return on equity = Net income to stockholders / (Total equity − Total preferred equity).

Net income to stockholders = Net income + RnD expences − RnD ammortisation.

RnD expenses are taken for the last 4 quarters of the year. RnD amortisation - for 10 years

ROE should be higher than ROA for the good company (debt rate lower than business rate)

*P / OCF

Price to Operating cash flow - is a stock valuation indicator or multiple that measures the value of a stock's price relative to its operating cash flow per share. The ratio uses operating cash flow (OCF), which adds back non-cash expenses such as depreciation and amortization to net income.

* EV / EBITDA

Enterprise multiple, also known as the EV multiple, is a ratio used to determine the value of a company. The enterprise multiple, which is enterprise value divided by earnings before interest, taxes, depreciation, and amortization (EBITDA), looks at a company the way a potential acquirer would by considering the company's debt

*VIR

VIR= TSR/(P/E) - value investment ratio. Neff cocomends to buy stocks with VIR >0.5

Attach:Ratios_Biogen.xlsx

Sectors priority

Good idea to find best currently performing sectors is to look at BCG Ranking https://www.bcg.com/publications/2020/interactive-value-creators-rankings

For company selection, it's good to follow international funds (ex Fidelity FDEM ETF) Also annual growth of the sector could be found using "(sector) market research CAGR"' query. The sector should grow faster than the world economy (7%)

Some sectors perform better in recession, others in the market growth phase

To find companies in sector use the following sources

It is important to consider economy cycle while picking shares Attach:economy_cycles.png

Insiders

Insiders understand company busyness is much better than most people. They should report about their operations with company stocks. The following sites could be used to monitor their operations:

Selling stocks is not very reliable indicator. Person could sell stocks to buy a home or to pay for kid's college. Purchases are much more interesting, especially when they irregular, involve different officers (cluster deal), and on a large sum (more than $10k).

Officers' deals are better indicators than the board or large investors

Market Bubbles

After a bubble shares could heavily drop. So it's better to avoid overheated markets. If average broad market index ratios are higher than average it could indicate a bubble

RatioSnP avgMoex Avg
Current P/E18.91 
Shiller P/E19.63
MCap/GDP106%

Stock valuation methods

Present value of a perpetuity

\[PV=\frac{A}{i}\] where

A - amount of money that occur on a routine basis (dividends)
i - interest rate at which the amount compounds each period

Gordon model

\[PV=\frac{A}{k-g}\] where

A - amount of money that company generate (FCF/ dividents)
g - expected dividend growth rate
k - the required rate of return

3 projections method

We are interested in companies that meet the following criteria

  1. That generate profit higher than the price of money (ROC>WACC)
  2. That FCF grow faster than the average company in the industry
  3. That have reasonable amount of debt (NDR < 3)

3 Growth rules

Sales should grow faster than assets

Profit should grow facter than sales

Page last modified on December 06, 2021, at 06:29 PM
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