Debt Capital Markets puzzles, solved step by step
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- 100
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- 30
001A project generates cash flow available for debt service of Rs 60 crore a year for 10 years. The loan costs 9% and the lender wants a minimum debt service cover of 1.3x, with level annual payments. How much can it lend?Corporate bankingPrivate credit
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Before any maths: which figure is closest to the loan the project can carry?
Show the worked solution
About Rs 296 crore. A 1.3x cover means only 60 divided by 1.3, Rs 46.15 crore a year, can go to interest and principal. A level payment of that size for 10 years at 9% repays a loan equal to its present value: 46.15 times the annuity factor of 6.418, about Rs 296.2 crore. Debt capacity is the present value of the cash the lender lets you spend on debt.
What does the cover ratio actually limit?
Think of a family with Rs 60,000 a month to spare applying for a home loan. The bank will not let the whole Rs 60,000 go to the EMI; it wants a cushion in case a month goes wrong. A debt service cover of 1.3x means every rupee of loan payment must be backed by 1.3 rupees of cash, so the most the project can pay each year is 60 divided by 1.3, Rs 46.15 crore. The remaining Rs 13.85 crore is the lender's buffer against a bad year. It is not money you can borrow against.
Rs 60 crore of yearly cash divided by the 1.3x cover allows Rs 46.15 crore of debt service; ten such payments are worth Rs 42.3 crore down to Rs 19.5 crore each in today's money, and together they support a loan of about Rs 296.2 crore. How do you turn an allowed payment into a loan amount?
The loan is whatever amount those payments exactly repay with interest. A loan is the present value of the payments that service it, discounted at the loan's own rate. Ten level payments of Rs 46.15 crore at 9% are worth 46.15 times the ten year annuity factorThe present value of receiving 1 a year for a set number of years at a given rate. For 10 years at 9% it is about 6.42.. Look at the green bars: year 1's payment is worth Rs 42.3 crore today, year 10's only Rs 19.5 crore, because money further away is worth less now.
The relationshipCFADS cash flow available for debt service, Rs 60 crore a year DSCR the minimum debt service cover, 1.3x r the loan rate, 9% n the number of level payments, 10 D the loan the payments can repay, Rs crore What it says in wordsDivide the cash by the cover to get the allowed payment, then take the present value of that payment stream at the loan rate.Check it out loud. Rs 296 crore at 9% is Rs 26.7 crore of first year interest, so the first payment of Rs 46.15 crore repays only about Rs 19.5 crore of principal. With a level payment, principal is repaid slowly at first and faster later, because interest takes the biggest bite while the balance is largest. If you can say that, the interviewer knows you understand what the annuity factor is doing rather than reciting it.
What would a lender push back on?
The Rs 60 crore is a forecast, and a forecast is exactly what a sponsor is paid to be optimistic about. The cover protects the lender only if the cash flow it is applied to is honest, so the real negotiation is over which forecast the 1.3x is applied to. Lenders often size on a downside case, shorten the tenor, or ask for a reserve account that holds some months of debt service in cash. Each of those moves the answer more than a quarter point on the rate would. State the limit too: the sum assumes the project runs all ten years and that nothing needs refinancing.
Where candidates lose it
The quick wrong answer is Rs 462 crore: ten payments of Rs 46.15 crore added up. It forgets that each payment carries interest, so the sum of the payments is always more than the loan they repay.
The other loss is discounting the full Rs 60 crore, which ignores the cover and lends about Rs 385 crore. Say the order out loud before you calculate: cover first, then present value.
What the interviewer asks next
- The lender cuts the tenor to 7 years. Roughly how much can it lend now? (About Rs 232 crore.)
- How would a sculpted repayment, where each year's payment is that year's cash flow divided by 1.3, change the answer if cash flow grows every year?
- Why might a lender size the loan on a downside cash flow case rather than the base case?
022Debt is Rs 500 crore and EBITDA Rs 100 crore, growing 10% a year. Free cash flow is 40% of EBITDA and all of it repays debt. In which year does leverage, debt over EBITDA, first fall below 3.0x?Leveraged financePrivate credit
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Your first guess: in which year does leverage drop below 3.0x?
Show the worked solution
Year 3, at about 2.66x. EBITDA grows to 110, 121 and 133.1, and 40% of each repays debt: 44, 48.4 and 53.2. Debt falls to 456, 407.6 and 354.4, so leverage runs 4.15x, 3.37x and 2.66x. Deleveraging comes from both ends: repayment shrinks debt while growth enlarges EBITDA, and either lever alone would leave leverage near 3.8x in year 3.
Why do both repayment and growth matter?
A family with a home loan feels less stretched both when it prepays the loan and when its salary rises. Leverage is a ratio, so it falls when the debt on top shrinks and when the EBITDA below grows, and here both happen every year. The growth also feeds the repayment: a bigger EBITDA means more cash, so each year's repayment is larger than the last. That compounding is why the answer arrives sooner than a straight-line guess.
Year EBITDA Cash repaid Debt at year end Debt / EBITDA 0 100.0 500.0 5.00x 1 110.0 44.0 456.0 4.15x 2 121.0 48.4 407.6 3.37x 3 133.1 53.2 354.4 2.66x 4 146.4 58.6 295.8 2.02x Rs crore. EBITDA grows 10% a year and 40% of it repays debt at year end; leverage first drops below 3.0x in year 3, at 2.66x, and reaches 2.02x in year 4. With growth and repayment together leverage falls from 5.0x to 2.66x by year 3, crossing the 3.0x line, while growth alone leaves it at 3.76x and repayment alone at 3.80x in the same year. How do you show the interviewer which lever did the work?
Run each lever on its own. With flat EBITDA and 40 a year of repayment, leverage is 3.80x in year 3 and only reaches 3.0x in year 5; with growth but no repayment it is 3.76x in year 3. Neither alone gets there, and together they reach 2.66x, because each lever makes the other stronger. That split is the follow-up in most leveraged finance interviews, and it is how a lender judges how much of a deleveraging story depends on the growth forecast.
What would a lender worry about in this path?
The growth assumption carries much of the result. If EBITDA stalls, the same repayments leave leverage near 3.8x in year 3, so a covenant set to step down to 3.0x by year 3 would be breached. The model also assumes all free cash flow repays debt, with nothing for dividends, acquisitions or a working capital squeeze. Close with the sensitivity: a lender would size the covenant step-downs on a cash flow case below the base case, and say so.
Where candidates lose it
The common slip is running only one lever: repaying 40 a year against flat EBITDA, which says year 5, or growing EBITDA without increasing the repayment. The question built in 10% growth so that cash flow grows too.
The second is a timing error: dividing year-end debt by the opening year's EBITDA. Match the two: debt at the end of year 3 against year 3 EBITDA.
What the interviewer asks next
- EBITDA grows only 3% a year. When does leverage fall below 3.0x now?
- Half the free cash flow goes to dividends instead. Which year does it cross?
- How would you set covenant step-downs for this borrower?
032The leverage covenant is 4.0x. Debt is Rs 800 crore and EBITDA has dropped to Rs 180 crore, so leverage is 4.44x. The sponsor can inject equity either as a cure counted in EBITDA or as a prepayment of debt. How much does each route need?Leveraged financePrivate credit
Try it first
Which route needs less sponsor cash, and by roughly how much?
Show the worked solution
The EBITDA cure needs Rs 20 crore; the prepayment needs Rs 80 crore. To reach 4.0x with debt of 800, EBITDA must be 200, so the cure adds 20. To reach 4.0x with EBITDA of 180, debt must be 720, so the prepayment is 80. The cure is four times cheaper because each rupee of EBITDA supports four rupees of debt, which is why lenders cap how often and how much a cure can count.
Why does the same covenant give two very different cheque sizes?
A bank lets you borrow up to four times your monthly salary. If you are over the limit, you can either repay some of the loan or show a higher salary. Showing Rs 1,000 more salary makes room for Rs 4,000 of loan, so it takes a quarter as much money to fix. A leverage ratio has debt on top and EBITDA underneath, and at a 4.0x test a rupee added below does the work of four rupees removed above. An equity cureA right in a loan agreement letting the owner inject cash to fix a covenant breach, with the cash treated as if it were extra EBITDA for the test. exploits exactly that.
The relationship800 debt, Rs crore 180 EBITDA after the drop, Rs crore 4.0 the maximum leverage the covenant allows What it says in wordsSolve the ratio for the EBITDA that passes at today's debt, and for the debt that passes at today's EBITDA.Adding Rs 20 crore of cure to EBITDA takes leverage from 4.44x to 4.0x with debt unchanged, while prepayment needs Rs 80 crore of debt repaid to reach the same 4.0x, four times the cash. Why do lenders limit equity cures?
Because the cure is cosmetic for the covenant. Rs 20 crore of one-off equity counted as EBITDA does not make the business earn more; it makes the ratio pass for the test periods it is counted in. The lenders still hold Rs 800 crore against a business earning Rs 180 crore. So documents typically cap how many cures are allowed over the life, forbid them in consecutive quarters, cap the amount at what is needed to pass, and stop the cure cash counting as EBITDA for anything else, such as the room to pay dividends.
One wrinkle is worth saying. Some documents also let the cure cash sit on the balance sheet and be netted against debt. Then you solve 800 minus x over 180 plus x equals 4.0, and x falls to Rs 16 crore. Lenders resist that double count for the same reason: one rupee should not fix both halves of the ratio.
Where candidates lose it
The common answer is Rs 80 crore either way, from candidates who only think about paying down debt. They miss that the question offered a cure counted in EBITDA precisely to see whether you notice the ratio's multiplier.
The second loss is getting Rs 20 crore and stopping. The interviewer wants to hear why lenders cap cures: the business still earns Rs 180 crore, and a cure hides that for a quarter.
What the interviewer asks next
- EBITDA falls again to Rs 170 crore next quarter. What cure is needed, and is a second cure likely to be allowed?
- The cure cash can also be netted from debt. What is the smallest cheque now?
- Why might a sponsor choose to prepay even though the cure is cheaper?
033EBITDA is Rs 240 crore. The lender requires EBITDA interest cover of at least 2.5x and leverage of at most 4.0x, and debt costs 11%. What is the maximum debt, and which test binds?Leveraged financeCorporate banking
Try it first
Which test sets the limit here?
Show the worked solution
Maximum debt is about Rs 872.7 crore, and the interest cover test binds. Cover of 2.5x on EBITDA of 240 allows interest of 96; at 11% that is Rs 872.7 crore of debt. Leverage of 4.0x would allow Rs 960 crore, but the rate is too high for the business to carry it. The two tests meet at a 10% rate; above that, coverage is the tighter limit.
Why run both tests instead of just the leverage one?
A household can be told it may borrow up to four years of income, but it also has to afford the monthly instalment. When interest rates are high, the instalment test fails first, long before the four-years rule does. Leverage measures how much debt there is; interest cover measures whether the business can pay for it, and the rate decides which one runs out first. A lender sizing debt computes both and lends the lower.
The relationship240 EBITDA, Rs crore 2.5 minimum EBITDA over interest 11% the interest rate on the debt 4.0 maximum debt over EBITDA What it says in wordsCover caps the interest bill, and the rate turns that bill into a debt amount; leverage caps the debt directly.At 11% the coverage test allows Rs 872.7 crore of debt against Rs 960 crore under the leverage test, so coverage binds; the two limits cross at a 10% rate, and every point above that belongs to coverage. At what rate do the two tests swap?
Set them equal: 96 divided by the rate equals 960, so the rate is 10%. Above 10%, coverage binds; below it, leverage binds. That is the general rule to leave the interviewer with: the crossover rate is one over the leverage multiple times the cover multiple, 1 over 4.0 times 2.5, which is 10%. When rates rise, the same business can borrow less even though its EBITDA has not changed, and lenders who size on leverage alone find their borrowers failing cover tests a year later.
Say the limits. EBITDA interest cover ignores capex and tax, so a lender who worries about cash will also run a fixed charge test, which can bind lower still. And the effective leverage here is 3.64x, not the 4.0x the term sheet headline suggests; quoting 4.0x to the borrower would promise debt the second test will not allow.
Where candidates lose it
Most candidates run the leverage test, get Rs 960 crore, and stop. The rate was given for a reason, and at 11% that debt would leave cover at 2.27x, a breach on day one.
The second miss is getting Rs 872.7 crore without saying why the answer changes with rates. The crossover at 10% is the insight that makes this more than arithmetic.
What the interviewer asks next
- Rates fall to 9%. What is the maximum debt now, and which test binds?
- The lender adds a fixed charge cover test of 1.3x with capex of Rs 60 crore and tax of Rs 30 crore. Does that bind?
- Why might a borrower accept a higher rate for a looser cover covenant?
047EBITDA is Rs 150 crore, capex Rs 40 crore, cash taxes Rs 20 crore, interest Rs 30 crore and scheduled principal Rs 20 crore. Compute the fixed charge cover and the interest cover, and say which one a lender trusts more.Corporate bankingLeveraged finance
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What is the fixed charge cover?
Show the worked solution
Interest cover is 5.0x and fixed charge cover is 1.8x; a lender trusts the fixed charge cover more. Interest cover is EBITDA of 150 over interest of 30. Fixed charge cover takes off capex of 40 and tax of 20, leaving 90, and sets it against interest plus the principal that must be repaid this year, 50. It counts the cash that really has to go out, so it shows how thin the cushion is.
Why can a company look five times covered and still be tight?
A salaried person earning Rs 1.5 lakh a month with a Rs 30,000 loan interest bill looks comfortable. But rent and school fees of Rs 60,000 come out first, and the loan also needs Rs 20,000 of principal each month. What is left, Rs 90,000, against Rs 50,000 owed, is the true cushion. Interest cover ignores the cash a business must spend before lenders are paid and ignores the principal it owes, so it flatters the picture. Fixed charge coverCash flow after capex and tax, divided by all the debt payments due in the period, interest and scheduled principal together. fixes both.
The relationship150 EBITDA, Rs crore 40, 20 capex and cash taxes, which must be paid before lenders 30, 20 interest and scheduled principal due this year What it says in wordsInterest cover divides earnings by interest; fixed charge cover divides cash left after essential spending by everything owed to lenders this year.The same company covers its Rs 30 crore of interest 5.0 times from EBITDA of Rs 150 crore, but after Rs 40 crore of capex and Rs 20 crore of tax it covers its Rs 50 crore of interest and principal only 1.8 times. Which ratio would you put in a covenant?
The fixed charge ratio, for a lender who cares about being repaid on schedule. At 1.8x the company has Rs 40 crore of spare cash a year after paying lenders, and a 44% fall in that cash would leave it unable to meet its schedule; at 5.0x interest cover the same fall would still look safe. Interest cover is still useful: it is quick, comparable across companies, and a lender pricing a bullet bond with no amortisation cares less about principal. But for an amortising term loan, fixed charge cover is the test that fails first.
Say the limits. Definitions vary by document: some deduct only maintenance capex, some add lease payments to the fixed charges, some take tax paid rather than tax charged. Always read the covenant's own definition before comparing a borrower's ratio with a peer's; two companies at 1.8x on different definitions are not equally safe.
Where candidates lose it
The common slip is stopping at 5.0x and calling the credit comfortable. The question gave capex, tax and principal because they are the numbers interest cover leaves out.
The second is putting principal on the wrong side, subtracting it from EBITDA rather than adding it to the charges. Principal is owed to lenders, so it belongs in the denominator with interest.
What the interviewer asks next
- Capex rises to Rs 60 crore. What is the fixed charge cover now?
- Why might a lender deduct only maintenance capex rather than total capex?
- The company adds a Rs 15 crore lease payment. Where does it go in each ratio?
073A company has EBITDA of Rs 200 crore, gross debt of Rs 900 crore and cash of Rs 300 crore. It uses Rs 200 crore of its cash to repay debt. What happens to its gross leverage and to its net leverage?Leveraged financeCorporate banking
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What happens to net leverage?
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Gross leverage falls from 4.5x to 3.5x; net leverage stays at 3.0x. Gross debt drops from Rs 900 crore to Rs 700 crore against EBITDA of Rs 200 crore. Net debt is 900 minus 300 before and 700 minus 100 after, Rs 600 crore both times, because cash and debt fall together. The repayment cuts interest and tidies the balance sheet, but it does not change what the company owes net of what it holds.
Why does one ratio move and the other stay put?
If you owe a friend Rs 9,000 and have Rs 3,000 in your wallet, you are Rs 6,000 in the hole. Hand over Rs 2,000 and you owe Rs 7,000 with Rs 1,000 left: still Rs 6,000 in the hole. Net debt already counts the cash as if it could repay debt, so actually using the cash to repay debt changes nothing in the net figure. Gross debt ignores the cash, so it falls by the full Rs 200 crore.
Repaying Rs 200 crore of debt from cash takes gross leverage from 4.5x to 3.5x, but debt and cash fall together, so net debt stays at Rs 600 crore and net leverage stays at 3.0x. The relationship900, 700 gross debt before and after, Rs crore 300, 100 cash before and after, Rs crore 200 EBITDA, Rs crore, unchanged by the repayment What it says in wordsGross leverage sees only the debt; net leverage sees debt less cash, and both fall by the same amount.Why would a company repay debt with cash at all?
Because the money still changes: interest on Rs 200 crore of debt usually costs more than the same cash earns on deposit. If the debt costs 9% and the cash earns 6%, repaying saves about Rs 6 crore a year of net interest. It also matters where covenants are written on gross debt, as some loan documents are, and where the cash sits in a subsidiary or abroad and could not easily reach lenders in a crisis. That is why credit analysts ask whether cash is truly available before netting it.
Now look at the other side. Spending the cash also removes a cushion: a company with Rs 100 crore of cash has less room to absorb a bad quarter than one with Rs 300 crore, at the same net leverage. Lenders and rating analysts look at liquidity alongside leverage for this reason. The limit: this assumes EBITDA is untouched by the repayment, which holds, because interest sits below EBITDA.
Where candidates lose it
The fast wrong answer is that both ratios improve, because repaying debt sounds like deleveraging. Net leverage already assumed the cash could repay debt, so doing it changes nothing on that measure.
The opposite slip is saying the repayment achieved nothing. It lowers gross leverage, cuts net interest cost and spends liquidity; name all three.
What the interviewer asks next
- The company instead raises Rs 200 crore of new debt and holds it as cash. What happens to each ratio?
- Which leverage figure would you write into a covenant, and why?
- When is it risky to net cash against debt?
095A company has EBITDA of Rs 300 crore and Rs 1,000 crore of debt, all floating at 10%. The benchmark rate rises by 150 basis points. What happens to its interest cover?Corporate bankingLeveraged finance
Try it first
Where does interest cover land?
Show the worked solution
Interest cover falls from 3.0x to about 2.61x. All the debt is floating, so the rate goes from 10% to 11.5% and interest from Rs 100 crore to Rs 115 crore. EBITDA is unchanged at Rs 300 crore, so cover is 300 / 115 = 2.61x. A 15% rise in the interest bill cuts cover by about 13%, with no change in the business at all.
Why does a small rate move matter so much?
A household on a floating home loan feels a rate rise in the very next EMI, even though nothing about its salary has changed. Companies with floating debt feel it the same way. Floating rate debt passes a benchmark rise straight into the interest bill, so coverage falls even when the business is doing exactly as well as before. Here 150 basis points on Rs 1,000 crore is Rs 15 crore a year, a 15% rise in interest.
A 150 basis point rise lifts interest on Rs 1,000 crore of floating debt from Rs 100 crore to Rs 115 crore, and with EBITDA unchanged at Rs 300 crore, interest cover falls from 3.0x to 2.61x. The relationshipEBITDA earnings before interest, tax, depreciation and amortisation, Rs 300 crore D floating rate debt, Rs 1,000 crore r the all-in floating rate, 10% before and 11.5% after What it says in wordsCoverage is earnings over the interest bill, and on floating debt the bill moves with the benchmark.What would a lender ask next?
Two questions: how much headroom is left, and how much is hedged. Cover would reach 2.0x only if interest rose to Rs 150 crore, a rate of 15%, so the benchmark would need to climb another 350 basis points from here. Hedging changes the answer more than anything else: if 60% of the debt were swapped to fixed, the same rise would add only Rs 6 crore of interest and cover would fall only to 2.83x. A banker who sees all-floating debt at 3.0x cover asks about hedging before anything else.
Where candidates lose it
The common slip is saying cover is unchanged because EBITDA did not move. The ratio has two sides, and floating debt makes the bottom one move.
The second is reporting 2.6x without the cause: interest up 15%, from Rs 100 crore to Rs 115 crore. The interviewer wants to hear that the business is unchanged and the capital structure did the damage.
What the interviewer asks next
- If covenants require cover of at least 2.5x, how far can the benchmark rise before the breach?
- What share of the debt would need to be fixed to keep cover above 2.8x after the rise?
- Why might EBITDA also fall when rates rise, and what does that do to the answer?
