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Debt Capital Markets puzzles, solved step by step

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  1. 019A bank lent Rs 400 crore secured on a plant now worth Rs 250 crore. Unsecured bonds are Rs 300 crore and trade creditors Rs 100 crore. Other assets are worth Rs 200 crore. In a liquidation, what does the bank recover in total, and what do the bondholders get?Capital structure and recoveryCoreRestructuringCorporate banking

    Try it first

    What do the bondholders recover?

    Show the worked solution

    The bank recovers about Rs 304.5 crore, 76.1%; the bondholders get about Rs 109.1 crore, 36.4%. The bank takes the plant, Rs 250 crore, and is still owed Rs 150 crore. That shortfall ranks as an unsecured claim beside Rs 300 crore of bonds and Rs 100 crore of trade claims. The Rs 200 crore of other assets is shared across Rs 550 crore of claims at 36.36% each.

    What does security actually give the bank?

    A pawnbroker holding your watch gets the watch first. If the watch sells for less than you owe, you still owe the rest, but now as an ordinary debt. Security gives a lender first call on the pledged asset, up to its value; for any shortfall the lender becomes an ordinary unsecured creditor. Here the plant covers Rs 250 crore of the Rs 400 crore loan, so the bank is undersecuredOwed more than the value of the collateral pledged against the loan, so part of the claim is effectively unsecured. by Rs 150 crore.

    An undersecured lender takes its collateral, then joins the unsecured queueStage 1: the bank's own collateralplant 250short 150Bank claim 400joinsStage 2: 200 shared over 550 of unsecured claimsevery claim recovers 36.4%54.5claim 150Bank shortfall109.1claim 300Bonds36.4claim 100TradeBank: 250 + 54.5Rs 304.5 cr, 76.1%dashed outline = claim, filled = recovered, Rs crore
    The bank takes the Rs 250 crore plant and carries its Rs 150 crore shortfall into the unsecured pool, where Rs 200 crore of other assets is shared across Rs 550 crore of claims at 36.4%, giving the bank Rs 304.5 crore in total and the bondholders Rs 109.1 crore.

    How is the unsecured pool shared?

    Pro rata, by the size of each claim. All unsecured claims of the same rank share the unencumbered assets in proportion to what they are owed, and the bank's deficiency counts in full. The pool is 150 plus 300 plus 100, which is Rs 550 crore, against Rs 200 crore of assets, a recovery of 36.36%. The bank receives 36.36% of 150, Rs 54.5 crore, the bonds Rs 109.1 crore and trade creditors Rs 36.4 crore.

    The relationship
    ru=Aother(L−C)+B+T=200150+300+100=36.36%Bank=250+150×ru=304.5r_u = \frac{A_{\text{other}}}{(L - C) + B + T} = \frac{200}{150 + 300 + 100} = 36.36\% \qquad \text{Bank} = 250 + 150 \times r_u = 304.5
    r_urecovery rate on unsecured claims
    L - Cthe bank's loan less the collateral value, its deficiency
    B, Tbonds and trade claims
    A_otherassets not pledged to anyone, Rs 200 crore
    What it says in wordsUnsecured claims, including the secured lender's shortfall, share the free assets pro rata.

    What would change the numbers in a real case?

    Several things the puzzle strips out, and naming one or two shows judgement. Insolvency costs and any claims the law ranks ahead of unsecured creditors, such as some employee and statutory dues, come out of the pool first, so the real unsecured rate would be lower than 36.4%. Plant values in a forced sale are often below appraisal. And the priority rules differ by country and by process, so check the regime that applies. The core mechanics, collateral first and deficiency pari passu, hold widely.

    Where candidates lose it

    The first trap is ignoring the bank's shortfall, sharing Rs 200 crore over only the bonds and trade claims at 50%. That gives the bonds Rs 150 crore and quietly treats the bank as if its Rs 150 crore had vanished.

    The opposite slip is letting the bank take everything because it is the secured lender. Security attaches to the plant, not to every asset, so the other assets are shared.

    What the interviewer asks next

    • The plant sells for Rs 400 crore instead. What do the bondholders now recover?
    • The bank also holds a second charge on the other assets. How does that change the split?
    • Why would a bank lend against a plant knowing it might be worth less in a forced sale?
  2. 020Senior debt of Rs 300 crore, subordinated notes of Rs 200 crore and trade claims of Rs 100 crore are all unsecured, but the notes are contractually subordinated to the senior debt only. Enterprise value is Rs 300 crore. Who gets what?Capital structure and recoveryHardRestructuringCredit research

    Try it first

    What do the trade creditors recover?

    Show the worked solution

    Senior debt gets Rs 250 crore, the subordinated notes nothing, and trade creditors Rs 50 crore. All three are unsecured, so first share Rs 300 crore pro rata across Rs 600 crore of claims: 150, 100 and 50. The notes then turn their Rs 100 crore over to the senior debt, which is still owed 150, leaving senior at 250. Trade creditors signed nothing, so they keep their 50.

    What is contractual subordination, in plain terms?

    Two siblings borrow from their parents and from a neighbour. The younger sibling promises the elder that any repayment the younger receives will be handed over until the elder is repaid. The neighbour never heard about that promise and is unaffected. Contractual subordinationAn agreement by one class of creditors to be paid only after a named senior class, enforced by handing over anything received until the senior class is paid in full. is a promise between two classes, so it moves value between them and leaves every other creditor exactly where the law puts them.

    Subordination re-routes the notes' share to the senior debt; trade is untouchedStep 1: pro rata, 50% each150claim 300Senior debt50%100claim 200Sub notes50%50claim 100Trade claims50%Step 2: notes turn over to senior250claim 300Senior debt83%0claim 200Sub notes0%50claim 100Trade claims50%+100
    Rs 300 crore shared pro rata over Rs 600 crore of claims gives senior 150, notes 100 and trade 50; the notes then hand their 100 to the senior debt, ending at senior 250, notes 0 and trade 50, so trade recovers the same 50% either way.

    Why share pro rata first, before applying the subordination?

    Because in the eyes of the insolvency law all three claims are unsecured and of equal rank. The legal waterfall treats them pari passu; the subordination agreement then works on what the noteholders receive, not on the waterfall itself. So compute the pro rata split, 50% each on Rs 600 crore of claims, then apply the turnover: senior is still owed Rs 150 crore, and the notes' Rs 100 crore goes to it in full. Had the notes' share exceeded what senior was owed, the surplus would stay with the notes.

    The relationship
    Senior=150+min⁡(300−150, 100)=250Notes=100−100=0Trade=50\text{Senior} = 150 + \min(300 - 150,\ 100) = 250 \qquad \text{Notes} = 100 - 100 = 0 \qquad \text{Trade} = 50
    150senior's pro rata share, 50% of 300
    100the notes' pro rata share, turned over to senior
    300 - 150what senior is still owed after its own share
    What it says in wordsSenior takes its own share plus the notes' share, up to the amount it is still owed; trade keeps its pro rata share.

    What would a wrong reading cost each class?

    Reading the notes as subordinated to everyone, a straight ladder, would pay senior 300 in full, trade nothing and notes nothing, a strict waterfall that takes Rs 50 crore from trade creditors who never agreed to it. The difference between subordinated to a named class and subordinated to all creditors is worth real money, so a credit analyst reads the subordination clause before building any recovery table. In real cases, check also whether senior's post-filing interest counts in the turnover, which the documents decide.

    Where candidates lose it

    The common error is building a simple ladder: senior first, then trade, then notes. That pays senior 300 and trade 0, and misses that the notes promised to stand behind the senior debt only.

    The second is applying pro rata and stopping, leaving the notes with 100. The agreement exists precisely to move that 100, so finish the turnover step and say what it is.

    What the interviewer asks next

    • Enterprise value rises to Rs 480 crore. Who gets what now?
    • How would the answer change if the notes were subordinated to all senior obligations, including trade?
    • Why do senior lenders value a subordination clause in a creditor that ranks equally with them by law?
  3. 030Senior lenders are owed Rs 400 crore and junior lenders Rs 200 crore; enterprise value is Rs 380 crore. The juniors threaten a fight that would take six months and cost 10% of enterprise value. Should the seniors give the juniors 5% of the new equity to settle?Capital structure and recoveryHardRestructuringCredit research

    Try it first

    The juniors are out of the money. What do the seniors keep if they settle, against if they fight and win?

    Show the worked solution

    Yes: settling leaves the seniors Rs 361 crore against Rs 342 crore by fighting, Rs 19 crore better. A fight that costs 10% of Rs 380 crore shrinks value to Rs 342 crore before anyone is paid. Giving the juniors 5% of Rs 380 crore costs Rs 19 crore. The seniors should pay anything up to 10% of the equity to avoid the fight, before counting six months of delay.

    Why pay anything to a class that is out of the money?

    Two heirs argue over a house worth Rs 38 lakh. One has the clear legal claim; the other can drag the case through court for a year and run up lawyers' fees of Rs 3.8 lakh. The strong heir who hands over Rs 1.9 lakh to end it keeps more than one who wins in court. A settlement payment to a junior class is rational whenever it costs less than the value the fight would destroy. Being right about priority does not make fighting free: the costs come out of the same pot.

    Here the seniors are owed Rs 400 crore against Rs 380 crore of value, so under absolute priorityThe rule that each class of creditor is paid in full before the class below it gets anything. the juniors get nothing and the seniors take the whole company. The juniors' only lever is delay and cost. Fighting burns 10% of value, Rs 38 crore, leaving Rs 342 crore.

    Give away 5% of a bigger pie, or keep 100% of a smaller oneSettle nowSeniors 95%: 361Juniors 5%: 19EV 380Senior recovery 90.25%Fight for six monthsSeniors 100%: 342Lost to the fight: 38EV 342Senior recovery 85.5%
    Settling gives the seniors 95% of Rs 380 crore, Rs 361 crore, while fighting and winning gives them 100% of a value cut to Rs 342 crore, so the 5% gift leaves the seniors Rs 19 crore better off.

    How big a gift would still make sense?

    The relationship
    (1−s)×380≥342  ⇒  s≤10%(1 - s) \times 380 \ge 342 \;\Rightarrow\; s \le 10\%
    sthe share of new equity handed to the juniors
    380enterprise value if the deal settles now
    342enterprise value after a fight costing 10%
    What it says in wordsThe seniors are ahead as long as what they give away is smaller than what the fight would burn.

    The seniors break even at a gift of 10%, the same as the share of value the fight would destroy. At 5% they are comfortably inside that line, and the six months of delay tips it further, because a recovery received now is worth more than the same recovery received later and a distressed business often loses customers and staff while it waits. Senior recovery rises from 85.5% to 90.25% of their claim.

    Say the limits too. The answer assumes the seniors would win the fight outright; if there is any chance the juniors win something, settling looks better still. It also assumes the 10% cost estimate is honest. And a gift to one class can invite others to threaten the same thing, which is why seniors often pair the equity with warrants or tie it to the juniors voting for the plan.

    Where candidates lose it

    The instinctive answer is no: the juniors are out of the money, so giving them anything breaks priority and rewards a threat. That answers a fairness question the interviewer did not ask.

    The question is what maximises the seniors' recovery. Compare 95% of the bigger value with 100% of the smaller one, then give the breakeven gift. Candidates who stop at priority rules miss that the fight is paid for with the seniors' own money.

    What the interviewer asks next

    • What if the juniors have a 30% chance of winning a Rs 60 crore share in court?
    • How would warrants rather than equity change the juniors' incentive?
    • Why do courts and plans sometimes allow this kind of gift, and when is it challenged?
  4. 044A distressed bond trades at 55. It will either be repaid at 100 or restructured with a recovery of 30. Ignoring discounting, what probability of full repayment is the market pricing?Capital structure and recoveryCoreRestructuringCredit research

    Try it first

    The implied chance of full repayment is:

    Show the worked solution

    About 35.7%. Set the price equal to the probability-weighted payoff: p times 100 plus 1 minus p times 30 equals 55. The 30 is paid either way, so the price only has to cover 25 of the 70-point gap between recovery and par, and 25 over 70 is 35.7%. The market thinks restructuring is nearly twice as likely as repayment.

    How do you turn a price into a probability?

    Suppose a raffle ticket pays Rs 100 if you win and Rs 30 as a consolation prize if you lose, and it sells for Rs 55. Everyone gets the Rs 30, so you are really paying Rs 25 for a shot at an extra Rs 70. A price between two outcomes is a probability-weighted average of them, so you can solve for the weight. The consolation prize matters: ignore it and you would read the Rs 55 as a 55% chance.

    The relationship
    p⋅100+(1−p)⋅30=55  ⇒  p=55−30100−30=2570≈35.7%p \cdot 100 + (1 - p) \cdot 30 = 55 \;\Rightarrow\; p = \frac{55 - 30}{100 - 30} = \frac{25}{70} \approx 35.7\%
    pmarket-implied chance of full repayment
    100payoff if repaid in full
    30recovery if restructured
    55today's price
    What it says in wordsThe implied probability is how far the price sits above the recovery, as a share of the distance from recovery to par.
    The price tells you how far along the road from 30 to 100 the market sitsBond todayprice 55p = 35.7%1 - p = 64.3%Repaid in full100Restructuredrecovery 30305510025 of the 70 gapp x 100 + (1 - p) x 30 = 55 gives p = (55 - 30) / (100 - 30) = 25 / 70 = 35.7%
    A bond at 55 that pays either 100 or a recovery of 30 sits 25 points up a 70-point range, which implies a 35.7% chance of full repayment and a 64.3% chance of restructuring.

    What does ignoring discounting hide?

    Both payoffs arrive in the future, often a year or more away, and a distressed investor wants a high return for waiting. If the payoffs arrive in a year and the buyer demands 12%, the price must equal the expected payoff divided by 1.12, which lifts the implied repayment probability to about 45.1%. So the 35.7% is a floor: part of the discount to par is a charge for time and risk, not only for default. That is why desks quote these as risk-neutral probabilities, not forecasts.

    The other soft spot is the recovery of 30. It is an estimate, and the implied probability is sensitive to it: at a recovery of 40, p is 15 over 60, 25%. Before trading on the number, a credit analyst would test the recovery from the balance sheet and the claims ranking ahead of this bond.

    Where candidates lose it

    The instant wrong answer is 55%, reading the price as a probability. That would only be right if the bad outcome paid nothing. Here it pays 30, and the answer drops to 35.7%.

    The second miss is forgetting to say the assumption. Ignoring discounting makes the probability look low; one sentence noting that a required return would raise it shows you know the difference between a market price and a forecast.

    What the interviewer asks next

    • What price would imply a 50% chance of repayment?
    • If the recovery estimate falls to 20, what probability is implied at 55?
    • How would you set up the same calculation for a credit default swap spread?
  5. 062A company has an enterprise value of Rs 1,000 crore against senior secured debt of Rs 500 crore, senior unsecured debt of Rs 300 crore and subordinated debt of Rs 150 crore. Enterprise value then falls 30%. What does each layer recover, which layer is the fulcrum, and at what enterprise value would the equity start to be worth something?Capital structure and recoveryCoreKKRNew York · 2025

    Try it first

    After the fall, which layer is the fulcrum?

    Show the worked solution

    At Rs 700 crore, senior secured recovers 100%, senior unsecured 66.7% and the subordinated debt nothing, so the senior unsecured layer is the fulcrum. Value is paid down the stack in order: Rs 500 crore to the secured lenders leaves Rs 200 crore for Rs 300 crore of unsecured claims, and nothing below. The equity is worth something only once enterprise value exceeds total debt of Rs 950 crore.

    How is value shared out when it falls short of the debt?

    Picture water poured into a stack of glasses, each filling completely before any spills into the next. In a recovery, value pays each layer of the capital structure in full, in order of priority, before anything reaches the next layer down. The senior secured lenders' glass holds Rs 500 crore, the senior unsecured Rs 300 crore, the subordinated Rs 150 crore, and the equity takes whatever is left. Pour in Rs 700 crore and watch where it stops.

    Value fills the stack from the bottom; the fulcrum is where it runs outCoveredSenior securedRs 500 croreSenior unsecuredRs 300 croreSubordinatedRs 150 croreEquityEV 1,000, beforeEV 700, after the fallRecovery at Rs 700 crore100%66.7%: 200 of 300fulcrum0%equity also 0Claims, Rs crore, most senior at the bottom
    At Rs 700 crore of enterprise value, the Rs 500 crore senior secured layer is covered in full, the senior unsecured layer receives Rs 200 crore of its Rs 300 crore, 66.7%, and the subordinated debt and equity receive nothing, which makes senior unsecured the fulcrum.
    LayerClaimAt EV Rs 1,000 croreAt EV Rs 700 crore
    Senior secured500500 (100%)500 (100%)
    Senior unsecured300300 (100%)200 (66.7%)
    Subordinated150150 (100%)0 (0%)
    Equity500
    Total9501,000700
    Rs crore, recovery in brackets. At Rs 1,000 crore every debt layer is paid in full and the equity is worth Rs 50 crore; at Rs 700 crore the senior unsecured layer recovers 66.7% and everything below it is wiped out.

    Why does the fulcrum matter to a credit investor?

    The fulcrum securityThe most senior layer of the capital structure that the company value does not cover in full, so it is likely to receive the equity in a restructuring. is the layer where the value runs out. It usually ends up owning the business in a restructuring, because the layers above are paid in full and the layers below are wiped out. Here the senior unsecured lenders would likely exchange their Rs 300 crore of claims for most of the new equity. Distressed investors buy the fulcrum because its value moves most with the enterprise value: between Rs 500 and Rs 800 crore, every extra Rs 1 crore goes straight to it.

    At what value does the equity come back to life?

    The equity is out of the money until enterprise value covers every debt claim, Rs 500 plus 300 plus 150 crore, which is Rs 950 crore. At the original Rs 1,000 crore it was worth only Rs 50 crore, 5% of enterprise value, which is why a 30% fall wiped it out and went on through the subordinated layer too. The limit: this is a strict priority waterfall; in real restructurings junior classes often receive a small share to win their votes, and claims include accrued interest and fees, so treat these recoveries as the starting point of a negotiation.

    Where candidates lose it

    The common slip is sharing the loss pro rata: Rs 700 crore over Rs 950 crore of debt is 73.7% for everyone. That ignores priority, which is the whole point of a capital structure question.

    The second is naming the subordinated debt as the fulcrum because it is the first layer to lose everything. The fulcrum is the layer where the value line lands, the one that is only partly covered: here the senior unsecured.

    What the interviewer asks next

    • Enterprise value falls to Rs 450 crore. What does each layer recover now?
    • The senior secured lenders are also owed Rs 30 crore of accrued interest. Does the fulcrum move?
    • Where would the senior unsecured bonds trade if the market expects Rs 700 crore of value in a restructuring a year from now?

    Asked at KKR, Distressed Debt, New York, 2025 (Wall Street Oasis): What are your weaknesses? A capital structure question with enterprise value.

  6. 067A company has assets worth Rs 100 crore today and a Rs 80 crore zero-coupon loan due in a year. Next year the assets will be worth either Rs 60 crore or Rs 140 crore. What do the lender and the shareholders get in each case, and which side would prefer the company to hold riskier assets?Capital structure and recoveryWarm upCredit research

    Try it first

    Which side wants the company to take on riskier assets?

    Show the worked solution

    At Rs 60 crore the lender gets 60 and shareholders nothing; at Rs 140 crore the lender gets 80 and shareholders 60. Shareholders prefer riskier assets. The lender's payoff is capped at the Rs 80 crore it is owed, while shareholders keep everything above 80 and cannot fall below zero. Equity works like a call option on the assets with a strike of 80, so more volatility moves value from the lender to the shareholders.

    Who gets what in each outcome?

    A student borrows Rs 80,000 from a relative to start a small business and owes it back in a year. If the business ends up worth Rs 60,000, the relative gets Rs 60,000 and the student nothing; if it is worth Rs 1,40,000, the relative gets Rs 80,000 and the student keeps Rs 60,000. The lender's payoff is the smaller of the asset value and what it is owed; the shareholders' payoff is whatever is left above the debt, never below zero. Here that is 60 or 80 for the lender and 0 or 60 for the shareholders.

    The lender is capped at 80; the shareholders keep everything above it040801201602004080120Value of the assets next year, Rs croreloan of 80Lender: the smaller of V and 80Shareholders: V - 80, never below 0V = 60: lender 60, equity 0V = 140: lender 80, equity 60Same average of 100, wider outcomes60 or 140: lender 70, equity 3020 or 180: lender 50, equity 50
    The lender's payoff rises with asset value only up to the Rs 80 crore it is owed, while the shareholders' payoff is zero below 80 and rises one for one above it, so widening the outcomes to 20 or 180 cuts the lender's average from Rs 70 crore to Rs 50 crore and lifts the shareholders' from Rs 30 crore to Rs 50 crore.
    The relationship
    Debt=min⁡(V, 80)Equity=max⁡(V−80, 0)\text{Debt} = \min(V,\ 80) \qquad \text{Equity} = \max(V - 80,\ 0)
    Vthe value of the assets next year
    80the face value of the loan, the strike of the option
    What it says in wordsThe lender is paid the asset value up to 80; the shareholders get the excess over 80, or nothing.

    Why do shareholders like risk and lenders dislike it?

    Keep the average at Rs 100 crore but widen the outcomes to Rs 20 or Rs 180 crore, each equally likely. The lender now gets 20 or 80, an average of 50 instead of 70, while shareholders get 0 or 100, an average of 50 instead of 30. Nothing about the business improved on average; Rs 20 crore of value simply moved from the lender to the shareholders. That is the shape of a call optionThe right, not the obligation, to buy something at a fixed price, so the holder keeps the upside above that price and loses nothing more below it.: capped loss, open-ended gain, so volatility helps the holder.

    CaseAsset valueLender getsShareholders getLender averageEquity average
    As planned60 or 14060 or 800 or 607030
    Riskier assets20 or 18020 or 800 or 1005050
    Rs crore, each outcome assumed equally likely. Widening the outcomes leaves the asset average at Rs 100 crore but moves Rs 20 crore of expected value from the lender to the shareholders.

    Say why a lender cares, because it is the point of the question. Loan documents restrict what a borrower can do with its assets, with limits on new debt, asset sales, dividends and changes of business, to stop shareholders swapping safe assets for risky ones after the loan is made. The pull is strongest near distress, as here, because shareholders have little left to lose. The limit: the 50/50 odds are an assumption, and the option view ignores that managers may also care about keeping the company alive.

    Where candidates lose it

    Candidates say nobody prefers more risk because the average asset value is unchanged. That treats both claims as if they shared outcomes equally, and they do not: the lender's payoff is capped and the equity's is floored.

    The second miss is getting the payoffs right but never naming the option. Say equity is a call on the assets struck at the face value of the debt, and the follow-up on volatility answers itself.

    What the interviewer asks next

    • With 50/50 odds, what is the loan worth today if investors discount at 10%?
    • The company can pay a Rs 20 crore dividend today out of its assets. Who gains and who loses?
    • Which covenants would you write into the loan to stop a switch to riskier assets?
  7. 086A holding company has Rs 200 crore of bonds and no other debt. Its only asset is an operating company worth Rs 700 crore, which has Rs 600 crore of its own loans. What do the holding company bondholders recover in a default, and what changes if the operating company guarantees the holding company bonds?Capital structure and recoveryHardRestructuringCredit research

    Try it first

    Without the guarantee, what do the holding company bonds recover?

    Show the worked solution

    Without the guarantee the bonds recover 50%; with it, about 87.5%. The operating lenders are paid first from the Rs 700 crore, so only Rs 100 crore reaches the holding company for Rs 200 crore of bonds. A guarantee gives the bonds a direct claim on the operating company, equal with its loans if both are unsecured: Rs 700 crore across Rs 800 crore of claims, Rs 175 crore to the bonds.

    Why do holding company bondholders get only what is left?

    Lend money to a friend whose only asset is a stake in the family shop. If the shop fails, its suppliers and its bank are paid out of the shop's till first, and your friend receives only what is left over, if anything. Holding company bonds sit in exactly that position. The holding company owns shares, not assets, so its lenders are paid only from the equity value of the operating company, after every creditor of the operating company has been paid in full. This is called structural subordinationBeing junior not because of a clause in the documents but because your borrower sits higher up a corporate chain than the assets., and no ranking clause in the bond documents can undo it.

    Where the debt sits decides who is paid from the operating assetsNo guarantee: bonds wait for what is left700Opco value600 of 600Opco loans100.0%-100100 of 200Holdco bonds50.0%loans paid first, 100 flows up as equityOpco guarantees the bonds700Opco value-75525 of 600Opco loans87.5%-25175 of 200Holdco bonds87.5%one pool of 800 in claims shares 700
    Without a guarantee the operating lenders take their full Rs 600 crore and the holding company bonds recover Rs 100 crore of Rs 200 crore, 50%; with a guarantee both sets of creditors share Rs 700 crore across Rs 800 crore of claims and each recovers 87.5%.

    What does the guarantee change, and for whom?

    An upstream guarantee from the operating company gives the bondholders a second claim, this time directly against the operating assets. If that claim ranks equally with the operating loans, the two groups share Rs 700 crore across Rs 800 crore of claims: 87.5% each, Rs 175 crore to the bonds and Rs 525 crore to the loans. The bondholders' gain of Rs 75 crore is exactly the operating lenders' loss of Rs 75 crore; a guarantee does not create value, it moves the queue. That is why operating lenders often limit or prohibit such guarantees in their own documents.

    The relationship
    Rno guarantee=max⁡(700−600, 0)200=50%Rguarantee=700600+200=87.5%R_{\text{no guarantee}} = \frac{\max(700 - 600,\,0)}{200} = 50\% \qquad R_{\text{guarantee}} = \frac{700}{600 + 200} = 87.5\%
    700value of the operating company
    600operating company loans
    200holding company bonds
    What it says in wordsWithout a guarantee the bonds get the leftover equity; with one they share the whole value pro rata.

    What assumption would flip the answer back to 50%?

    If the operating loans are secured on all of the operating assets, they are paid in full from the collateral before any unsecured guarantee claim, and the bonds are back to the Rs 100 crore residual. Label and security both matter: a guarantee only helps against creditors it can rank alongside. In real documents guarantees can also be capped or challenged, so a credit analyst reads the guarantee and the intercreditor terms before trusting a number like 87.5%.

    Where candidates lose it

    The common error is adding everything up, 600 plus 200 against 700, and giving the bonds a pro rata 87.5% with no guarantee in sight. That treats holding company bonds as if they were lenders to the operating company, which they are not.

    The second loss is missing that the guarantee is a transfer. Candidates who say the bondholders are better off without adding that the operating lenders are worse off by the same Rs 75 crore have missed half of the answer.

    What the interviewer asks next

    • If the operating company also had Rs 50 crore of trade creditors, what would each group recover with the guarantee?
    • Why would a holding company bond pay a higher coupon than an operating company loan from the same group?
    • What would the holding company bonds recover if the operating company were worth Rs 900 crore?
  8. 087A company has an enterprise value of Rs 100 crore and debt of Rs 60 crore, and no cash. Its enterprise value falls 20%. By how much does its equity value fall?Capital structure and recoveryWarm upCredit research

    Try it first

    Answer in one breath.

    Show the worked solution

    Equity falls 50%, from Rs 40 crore to Rs 20 crore. Enterprise value drops Rs 20 crore to Rs 80 crore, but the Rs 60 crore of debt does not shrink, so the whole Rs 20 crore comes off equity. Equity was only 40% of the business, so a 20% fall in the business is 20% x 2.5 = 50% of the equity.

    Why does a 20% fall become a 50% fall?

    Buy a Rs 1 crore flat with Rs 40 lakh of your own money and a Rs 60 lakh loan. If flat prices fall 20%, the flat is worth Rs 80 lakh, the bank still wants Rs 60 lakh, and your stake is Rs 20 lakh: half gone. Debt is a fixed claim, so every rupee lost in enterprise value comes off the equity, and the smaller the equity slice, the bigger the percentage fall. The multiplier is enterprise value over equity, here 100 over 40, or 2.5.

    Debt keeps its size, so the whole fall lands on equityDebt 60Equity 40EV 100BeforeDebt 60Equity 20EV 80After a 20% fallunchangedEV falls20%Equity falls50%Loan to value60% to 75%Multiplier EV / equity2.5x20% x 2.5 = 50%
    Enterprise value falls from Rs 100 crore to Rs 80 crore while debt stays at Rs 60 crore, so equity halves from Rs 40 crore to Rs 20 crore and the loan to value ratio climbs from 60% to 75%.
    The relationship
    %ΔE=%ΔEV×EVE=−20%×10040=−50%\%\Delta E = \%\Delta EV \times \frac{EV}{E} = -20\% \times \frac{100}{40} = -50\%
    EVenterprise value, Rs 100 crore
    Eequity value, Rs 40 crore
    %Deltapercentage change
    What it says in wordsThe equity moves by the business's move times the leverage multiplier.

    How does a lender read the same numbers?

    From the lender's chair the question is how much cushion is left. The loan to value ratio climbs from 60% to 75%, so the equity buffer that protects the debt has halved even though the debt itself is untouched. Another 25% fall in enterprise value, to Rs 60 crore, would take equity to zero and put the lenders' own money at risk. That is why credit desks track enterprise value and covenants tied to it, not just whether interest is being paid.

    Where candidates lose it

    The instant answer is 20%, because the business fell 20%. It forgets that the debt claim is fixed and does not share in the fall.

    The second slip is saying 33% by dividing 20 by 60, the debt, instead of by 40, the equity. Say the three numbers in order, 40, then 20, then half, and the answer is audible.

    What the interviewer asks next

    • By how much would equity rise if enterprise value rose 20% instead?
    • What fall in enterprise value wipes out the equity completely?
    • The company holds Rs 10 crore of cash as well. How does the answer change?
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