Understand buybacks and rights issues

Core Concepts

Both fundamentally change ownership percentages and share count, but in opposite directions and for opposite reasons.

Share Buybacks

WHY do companies do buybacks?

1. Signal undervaluation: Management believes shares are trading below intrinsic value
2. Return excess cash: More tax-efficient than dividends for shareholders in many jurisdictions
3. Improve metrics: Reduce share count → increase EPS (Earnings Per Share) even if absolute earnings stay flat
4. Prevent dilution: Offset shares issued through employee stock options
5. Adjust capital structure: Shift from equity financing toward debt (leverage up)

HOW does it mechanically work?

Before buyback: $\text{Your ownership} = \frac{n}{N_0}$

After buyback: $\text{Your ownership} = \frac{n}{N_0 - \Delta N}$

Change in ownership: $\Delta \text{ownership} = \frac{n}{N_0 - \Delta N} - \frac{n}{N_0} = n \left(\frac{1}{N_0 - \Delta N} - \frac{1}{N_0}\right)$

$= n \cdot \frac{N_0 - (N_0 - \Delta N)}{N_0(N_0 - \Delta N)} = \frac{n \cdot \Delta N}{N_0(N_0 - \Delta N)}$

WHY this step? We find a common denominator to see that ownership increases (numerator positive) because the denominator shrinks faster than your numerator stays constant.

Step 1: Calculate shares repurchased $\text{Shares bought back} = \frac{\text{Buyback amount}}{\text{Price per share}} = \frac{₹100\text{M}}{₹100} = 1,000,000 \text{ shares}$

Why this step? Dividing total cash by price tells us quantity the company can afford.

Step 2: New share count $N_{\text{new}} = 10,000,000 - 1,000,000 = 9,000,000 \text{ shares}$

Step 3: Your new ownership $\text{Old ownership} = \frac{1,000}{10,000,000} = 0.01\%$ $\text{New ownership} = \frac{1,000}{9,000,000} = 0.0111\% \quad (+11\% \text{ relative increase})$

Why does your percentage grow? You didn't sell, but others did (or the company bought from market). The pie shrank, your slice stayed the same size → bigger percentage.

Step 4: EPS impact (assuming earnings unchanged)

• Old EPS: Suppose ₹200M profit → ₹200M / 10M = ₹20 per share
• New EPS: ₹200M / 9M = ₹22.22 per share (+11%)

Why this step? Same profit divided by fewer shares = higher per-share earnings, which often supports higher stock prices.

The steel-man: You're correct that mechanically ownership % rises. BUT:

1. Opportunity cost: If the company pays ₹100/share but intrinsic value is ₹80, they're destroying value. That ₹100M could've been invested in R&D, expansion, or acquisitions yielding >100% returns.
2. Debt-funded buybacks: If borrowed money finances the buyback, the company now has less cash AND more debt. Interest expense can hurt future earnings.
3. Timing risk: Buybacks at peak valuations (cyclical highs) waste capital.

The fix: Evaluate why and at what price the buyback happens. Good buybacks occur when shares are undervalued and the company has no better investment opportunities.

Rights Issues

WHY do companies do rights issues?

1. Raise capital: Need funds for expansion, debt reduction, or survival (distressed companies)
2. Reward loyalty: Existing shareholders get first crack at discounted shares
3. Avoid dilution (for participants): If you exercise your rights, your ownership % stays constant
4. Cheaper than debt: No interest payments, though it does dilute EPS

HOW does it work?

Total new shares issued: $N_{\text{new}} = N_0 \times \frac{R}{S}$

Total shares after issue: $N_{\text{total}} = N_0 + N_{\text{new}} = N_0\left(1 + \frac{R}{S}\right) = N_0 \cdot \frac{S+R}{S}$

Theoretical Ex-Rights Price (TERP): Derived from weighted average of old shares at market price and new shares at subscription price.

$\text{TERP} = \frac{N_0 \cdot P_{\text{market}} + N_{\text{new}} \cdot P_{\text{sub}}}{N_0 + N_{\text{new}}}$

Substitute $N_{\text{new}} = N_0 \cdot \frac{R}{S}$:

$\text{TERP} = \frac{N_0 \cdot P_{\text{market}} + N_0 \cdot \frac{R}{S} \cdot P_{\text{sub}}}{N_0\left(1 + \frac{R}{S}\right)}$

$= \frac{P_{\text{market}} + \frac{R}{S} \cdot P_{\text{sub}}}{1 + \frac{R}{S}} = \frac{S \cdot P_{\text{market}} + R \cdot P_{\text{sub}}}{S + R}$

WHY this formula? The new fair price is the weighted average of the old market cap plus the new cash raised, divided by the new total shares. It's conservation of value: total value = (old value) + (cash in), spread over more shares.

Step 1: How many new shares can you buy? $\text{Your rights} = \frac{400}{4} = 100 \text{ new shares}$

Why this step? The 1:4 ratio means for every 4 shares owned, you get to buy 1 new share.

Step 2: Cost to exercise rights $\text{Cost} = 100 \times ₹120 = ₹12,000$

Step 3: Total new shares issued to all shareholders $N_{\text{new}} = \frac{5,000,000}{4} = 1,250,000 \text{ shares}$

Step 4: New total shares $N_{\text{total}} = 5,000,000 + 1,250,000 = 6,250,000$

Step 5: Calculate TERP $\text{TERP} = \frac{4 \times 150 + 1 \times 120}{4 + 1} = \frac{600 + 120}{5} = \frac{720}{5} = ₹144$

Why this step? The share price should drop from ₹150 to ₹144 because the company issued cheaper shares, diluting the value per share.

Step 6: Your position if you exercise rights

• Old: 400 shares × ₹150 = ₹60,000 value
• You pay: ₹12,000
• New: 500 shares × ₹144 (TERP) = ₹72,000 value
• Net change: ₹72,000 − ₹60,000 − ₹12,000 = ₹0 (theoretically neutral, you paid fair value)

Your ownership:

• Old: 400/5,000,000 = 0.008%
• New: 500/6,250,000 = 0.008% (unchanged!)

Step 7: Your position if you DON'T exercise (you ignore the rights)

• Old: 400 shares × ₹150 = ₹60,000
• New: 400 shares × ₹144 = ₹57,600
• Loss: ₹60,000 − ₹57,600 = ₹2,400 (4% dilution loss)

Your ownership:

• New: 400/6,250,000 = 0.0064% (you got diluted from 0.008%!)

Why this step? If you don't participate, your ownership % drops and your per-share value drops to TERP, causing a loss.

WHY different?

• Buyback: Company is cash-rich, shares undervalued → shrink equity base
• Rights issue: Company needs capital, equity cheap vs debt → expand equity base

The steel-man: Yes, rights issues often come during tough times (debt burden, expansion failure). But consider:

1. Growth rights issues: A company raising capital to fund a high-return project (new factory, acquisition) can be very positive. Market cap grows faster than dilution.
2. Debt reduction: Swapping expensive debt for equity can improve financial health and reduce bankruptcy risk.
3. Discount is a gift: If you exercise, you're buying ₹144-worth shares for ₹120 (in our example, actual discount captured).

The fix: Analyze why the capital is needed. Read the company's announcement, management commentary, and use of proceeds. A rights issue for expansion into a booming market is different from one to avoid default.

Key Formulas Summary

Active Recall Practice

Buyback: The cookie jar company uses its lunch money to buy back 2 cookies from some friends and throws those cookies away (weird, right?). Now there are only 8 cookies total. You still have your 1 cookie, but now you own 1/8 of the jar instead of 1/10. Your slice of the jar got bigger without you doing anything!

Rights issue: The cookie jar is empty, so the company bakes 5 more cookies but says, "Hey, you 10 friends get to buy these new cookies first, at a discount, before we sell to anyone else." If you buy your share (0.5 cookies, since 5 new cookies / 10 friends), you still own 1.5/15 = 1/10 of the jar. But if you don't buy, the other kids buy your share, and you only own 1/15 now — you got "diluted."

The key: Buybacks make your piece bigger (company spends money). Rights issues keep your piece the same only if you pay to participate (company raises money).

RIGHTS = Raise cash In, Give Holders The chance, Subscription price (discount)

Common Mistakes & Traps

The flaw:

1. You're locking up more capital in a company that might be struggling (why else issue shares?).
2. The "discount" vs TERP is already priced in. Post-issue, the shares drop to TERP. You're not getting ₹150 shares for ₹120; you're getting ₹144 shares for ₹120 (₹24 real gain per share, but you had to pay ₹120 upfront).
3. Opportunity cost: That ₹12,000 could be invested elsewhere.

The fix: Calculate your new average cost, check the company's fundamentals and use of proceeds. If the company is burning cash with no plan, even a "discounted" price might be overpaying.

The reality:

1. Market efficiency: If the market knows the buyback is coming, it's often priced in.
2. Shrinking business: If the company has no growth opportunities, buybacks might just mean they can't find better uses for cash. "We're a melting ice cube, but a smaller ice cube per share" isn't bullish.
3. Financial engineering: Debt-funded buybacks at peak valuations can backfire when interest rates rise or business slows.

The fix: Evaluate valuation at buyback time, debt levels, and whether management has a history of wise capital allocation.

Connections

• Price-earnings ratio (P/E): Buybacks inflate EPS, which lowers P/E ratio mechanically
• Dividend policy: Buybacks are an alternative to dividends for returning cash
• Market capitalization: Rights issues increase market cap (if markets approve), buybacks leave it roughly unchanged
• Dilution and anti-dilution: Rights issues dilute non-participants; buybacks reverse dilution
• Book value per share: Both actions alter book value per share
• Capital structure: Buybacks shift toward debt, rights issues shift toward equity
• Corporate governance: Buyback timing and rights issue terms reveal management quality
• Stock splits: Similar share-count changes, but splits are cosmetic (no cash flow)

#flashcards/stock-market

Concept Map

Hinglish (regional understanding)

Hinglish (regional understanding)