Calculate and interpret EPS — Hinglish notes

2.5.1 · Stock-Market › Financial Ratios

Core Formula: First Principles Se Banana

Yeh Formula Kyun? (Scratch Se Derivation)

Chalte hain step-by-step build karte hain:

Step 1: Hum kya measure kar rahe hain? Hum chahte hain profit jo common shareholders ke liye available hai, per share. Common shareholders company ke owner hote hain, baaki sabke baad.

Step 2: Common shareholders se pehle kise milta hai? Preferred shareholders ko pehle fixed dividends milte hain (jaise debt, lekin yeh equity hai). Toh: $Profit for Common Shareholders = Net Income - Preferred Dividends$

Step 3: Hum ise "per share" kaise banayein? Common shares ki sankhya se divide karo. Lekin agar saal ke dauran shares badal gaye (company ne stock buyback kiya, naye shares issue kiye, ya split kiya), toh humein time ke hisaab se weighted average chahiye:

$Weighted Avg Shares = \sum (Shares \times \frac{Time Outstanding}{Total Period})$

Weighted kyun? Agar kisi company ke paas 9 mahine ke liye 100 shares the aur 3 mahine ke liye 200 shares, toh simply (100+200)/2 = 150 average lena galat hai. Woh 100 shares zyada time tak the, isliye unka zyada count hona chahiye: $100 \times \frac{9}{12} + 200 \times \frac{3}{12} = 75 + 50 = 125 shares$

Step 4: Combine karo: $EPS = \frac{Net Income - Preferred Dividends}{Weighted Average Shares Outstanding}$

Isse hume common shareholders ke liye dollars-per-share earned milta hai.

Worked Examples: Step-by-Step

Worked example Example 2: Weighted Average Shares (Mid-Year Buyback)

RetailCo 2025:

Net Income: $10,000,000
Koi preferred stock nahi (no preferred dividends)
Jan 1 - Jun 30: 2,000,000 shares outstanding
Jul 1 - Dec 31: 1,800,000 shares (July 1 ko 200k shares buyback kiye)

Step 1: Weighted average shares calculate karo $Weighted Avg = 2, 000, 000 \times \frac{6}{12} + 1, 800, 000 \times \frac{6}{12}$ $= 1, 000, 000 + 900, 000 = 1, 900, 000 shares$

Yeh step kyun? Woh 2M shares sirf aadhe saal ke liye existed. 1.8M shares baaki aadhe saal ke liye the. Hum time ke hisaab se weight karte hain kyunki EPS poore saal ki earnings measure karta hai.

Step 2: EPS calculate karo $EPS = \frac{10 , 000 , 000 - 0}{1 , 900 , 000} = $5.26$

Seedha 2M ya 1.8M kyun nahi use karte? 2M use karne se EPS understate hoga ( $5.00), 1.8 M u se k a r n eseo v er s t a t e h o g a ($ 5.56). Weighted average (1.9M) sahi reflect karta hai ki dono share counts saal ke dauran existed.

Key insight: Buybacks EPS boost karte hain chahe profit na badhé (same pie, fewer slices).

Common Mistakes: Errors Ko Steel-Man Karna

Common mistake Mistake 2: Weighted Average Ki Jagah End-of-Period Shares Use Karna

Galat approach: "Company ke paas Dec 31 ko 2M shares hain, toh main 2M se divide kar dunga."

Kyun sahi lagta hai: Current share count sabse recent, "official" number hai.

Kyun galat hai: Agar company ne woh shares Dec 30 ko issue kiye, toh woh sirf 1 din ke liye existed. 2M use karne se unhe share milta hai jo sirf barely existed tha, jiske saath pure saal ki earnings credit milti hai. Yeh EPS artificially understate karta hai.

Fix: Weighted average use karo. Agar saal ke dauran shares badal gaye, toh har count ko us fraction se weight karo jitne time woh outstanding tha.

Example: Company $1M kamaati hai. 11 mahine 1M shares hain, December mein 1M aur issue karta hai (1 month).

Galat (2M end shares use karke): EPS = $1 M /2 M =$ 0.50
Sahi (weighted avg = 1M×11/12 + 2M×1/12 = 1.08M): EPS = $1 M /1.08 M =$ 0.93

Galat method company ko per share mein 46% less profitable dikhata hai jitni woh actually hai.

Common mistake Mistake 3: EPS aur Dividends Ko Confuse Karna

Galat soch: "EPS $5 hai, t o hm u j h e$ 5 per share milenge."

Kyun sahi lagta hai: EPS paisa hai jo "tumhare liye kamaya gaya," toh kya tumhe woh milna chahiye?

Kyun galat hai: EPS earnings hai, cash paid out nahi. Company us $5 k or e in v es t k a r s ak t ihai (g r o w k a r n e k e l i y e), k u c h d i v i d e n d s k er oo p m e in p a y k a r s ak t ihai (maan l o$ 2), aur baaki retained earnings ke roop mein rakh sakti hai. Tumhe sirf dividend milta hai; baaki company mein rehta hai (umeed hai tumhari share value badhegi).

Fix: Dividend per share alag se check karo. $5 E P S w a l i co m p an y$ 0 dividends pay kar sakti hai (growth stock) ya $5 dividends (mature stock) ya kuch bhi beech mein.

Key insight: High EPS + low dividends = company reinvest kar rahi hai (growth investors ke liye achha). High EPS + high dividends = company cash return kar rahi hai (income investors ke liye achha).

EPS Interpret Karna: Number Ka Matlab

Formula EPS Interpretation Framework

1. Absolute Value:

Positive EPS: Company profitable hai
Negative EPS: Company paisa gawa rahi hai (hamesha bura nahi—startups mein aksar negative EPS hota hai jab woh grow kar rahe hote hain)
Zero EPS: Breakeven

2. Growth Rate (year-over-year compare karo): $EPS Growth = \frac{EPS _{this year} - EPS _{last year}}{EPS _{last year}} \times 100%$

Positive growth: Profitability improve ho rahi hai (achha signal)
Negative growth: Profitability decline ho rahi hai (investigate karo kyun—temporary issue hai ya structural problem?)

3. Context Matters:

Industry average EPS se compare karo (kya yeh company peers se zyada/kam profitable hai?)
Stock price se P/E ratio ke zariye compare karo (Price-to-Earnings = Price per share / EPS)
Analyst expectations se compare karo (EPS "beat" ya "miss" stock prices drive karta hai)

Yeh kyun matter karta hai: $10 E P S bah u t a c hha l a g t ahai, l e k ina g a r co m p e t i t or s a v er a g e$ 15 hain, toh yeh company underperforming hai. Agar stock $200 p e t r a d e k a r t ahai (P / E = 20), t o hin v es t or s g r o w t h e x p ec t k a r t e hain . A g a r$ 50 pe trade karta hai (P/E = 5), toh investors skeptical hain.

EPS Ke Types Jo Tumhe Milenge

Definition Basic vs Diluted EPS

Basic EPS (jo humne upar calculate kiya): $Basic EPS = \frac{Net Income - Preferred Dividends}{Weighted Avg Shares Outstanding}$

Diluted EPS (zyada conservative): $Diluted EPS = \frac{Net Income - Preferred Dividends}{Weighted Avg Shares + Potential New Shares}$ Potential new shares aate hain:

Stock options se (employees shares discount pe khareed sakte hain)
Convertible bonds se (debt jo stock mein convert ho sakta hai)
Warrants se (baad mein shares kharidne ke contracts)

Diluted EPS kyun? Yeh instruments naye shares create kar sakte hain, existing shareholders ko dilute karte hue. Diluted EPS assume karta hai ki sab convert ho gaye, ek worst-case (lower) EPS deta hai. Yeh zyada conservative hai.

Rule of thumb: Agar diluted EPS basic EPS se kaafi lower hai, toh company ke paas bahut potential dilution hai (savdhan raho). Agar dono close hain, toh dilution risk low hai.

Active Recall: Khud Ko Test Karo

Recall Feynman Check: Ek 12-Saal Ke Bacche Ko Explain Karo

Socho tum aur tumhare 3 dost ek lemonade stand shuru karte ho. Tum sab stand ke ek-ek share ke owner ho (kul 4 shares). Summer ke end mein, tumne $100 profit kamaya.

EPS hai: $100 \div 4 s ha r es =$ 25 per share. Tumme se har kisi ne stand se $25 "kamaye."

Ab, kya hoga agar tumhare dost ki mom ne kaha "Main tumhe help karne ke liye $20 d u n g i, l e k inm u j h ee k s p ec ia l s ha r ec hahi y e j i se ham es ha p e h l e$ 5 milein"? Yeh ek preferred share hai. Ab:

Total profit: $100
Mom ke special share ko milega: $5
Tumhare 4 dost jo bachega use split karte hain: $100 -$ 5 = $95
Tumhare shares ke liye EPS: $95 \div 4 =$ 23.75 har ek ke liye

Tumhara har ek share kam mila kyunki mom ko pehle pay kiya gaya. Isliye hum preferred dividends subtract karte hain! Agar summer ke aadhe mein tumhara cousin ek share khareed le (ab aadhe time ke liye kul 5)? Tum weighted average calculate karte: summer ke aadhe ke liye 4 shares, doosre aadhe ke liye 5 shares = 4.5 shares average. EPS = $95 \div 4.5 =$ 21.11

Doosre Concepts Se Connections

Price-to-Earnings Ratio (P/E): EPS ko denominator ke roop mein use karta hai; primary valuation metric
Earnings Growth Rate: EPS growth stock price appreciation drive karta hai
Return on Equity (ROE): Net income dono mein aata hai; ROE = Net Income / Equity
Dilution from Stock Options: Explain karta hai kyun diluted EPS basic se different hai
Income Statement: Net income (EPS numerator) yahan se aata hai
Weighted Average Cost of Capital: Dono time-weighted averages concept use karte hain
Dividend Payout Ratio: Dividends per Share / EPS (kitni earnings pay out ki jaati hain)
Stock Splits and Buybacks: Share count change karte hain, weighted average calculation affect karte hain

#flashcards/stock-market

Basic EPS ka formula kya hai? :: EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding

EPS calculate karte waqt preferred dividends subtract kyun karte hain?

Kyunki preferred dividends pehle preferred shareholders ko pay kiye jaate hain; woh common shareholders ke liye available nahi hain, isliye hum unhe exclude karte hain taaki common shareholders ke liye available earnings pata chale.

Weighted average of shares outstanding kya hai?

Ek period ke dauran shares ka average, is hisaab se weighted ki har share count kitne time tak existed. Formula: Σ(Shares × Time Outstanding / Total Period). Use kiya jaata hai kyunki saal ke dauran share counts aksar change hote hain.

Agar kisi company ke paas 9 mahine ke liye 1M shares hain aur 3 mahine ke liye 2M shares, toh weighted average kya hai?

1M × (9/12) + 2M × (3/12) = 0.75M + 0.5M = 1.25M shares

Company ka

6 M n e t in co m e hai,

400k preferred dividends hain, aur 2M shares hain. EPS calculate karo.

EPS = (6,000,000 - 400,000) / 2,000,000 = 5,600,000 / 2,000,000 = $2.80 per share

Basic aur diluted EPS mein kya difference hai?

Basic EPS actual shares outstanding use karta hai. Diluted EPS mein stock options, convertible bonds, aur warrants se potential new shares include hote hain—jo ek zyada conservative (lower) earnings estimate deta hai.

Basic EPS ki jagah diluted EPS kyun use karoge?

Diluted EPS zyada conservative hai; yeh worst-case earnings per share dikhata hai agar saare stock options, convertible securities, aur warrants exercise ho jaayein, potential dilution risk reveal karta hai.

Kya high EPS ka matlab hai ki tumhe utna cash milega?

Nahi. EPS earnings hai, tumhe paid cash nahi. Company kuch dividends ke roop mein pay kar sakti hai, lekin aksar baaki reinvest kart hai. Actual cash received dekhne ke liye dividend per share check karo.

Company ne 20% shares buyback kiye lekin net income same raha. EPS ka kya hoga?

EPS badhega (~25% se). Same earnings ko kam shares se divide karo = higher EPS. Isliye buybacks EPS boost karte hain chahe profit growth na ho.

Agar pichhle saal EPS

4 t haa u r i ss aa l

5 hai, toh EPS growth rate kya hai?

(5 - 4) / 4 × 100% = 1/4 × 100% = 25% growth

EPS growth rate kyun important hai?

Yeh dikhata hai ki profitability time ke saath improve ho rahi hai ya decline. Positive growth signal karta hai ki company zyada profitable ho rahi hai, jo usually stock price appreciation drive karta hai.

Company ne saal ke aadhe mein 500k naye shares issue kiye (pehle 1M the). Net income $3 M hai, k o i p r e f er r e dd i v i d e n d s nahi . E P S c a l c u l a t e k a r o . ::: W e i g h t e d a v g = 1 M \times 0.5 + 1.5 M \times 0.5 = 0.5 M + 0.75 M = 1.25 M s ha r es . E P S = 3 M /1.25 M =$ 2.40

Weighted average ki jagah end-of-period shares use karna mistake kyun hai?

Jo shares period ke end mein issue hue woh bahut kam time ke liye existed, lekin unhe poore saal ki earnings ka credit mil jaata, jisse EPS artificially low ho jaata. Weighted average sahi reflect karta hai ki har share count kitne time tak existed.