Companion files

Derivatives

A Practitioner’s Guide to What a Hedge Costs, What It Saves, and What It Does to Your Cash

Julian R. Sterling

These are the four Excel workbooks that go with the book. Every figure the book prints is reproduced in them by a live formula rather than a typed constant — move the spot rate, the volatility, the hedge ratio or the tenor, and every dependent number moves with it. Both yield curves are bootstrapped from their ten par rates, and each workbook re-prices all ten par bonds back to one before anything downstream is trusted. Each one ends with a Checks sheet setting the printed figure beside the computed one: 140 controls in all, every one green. If a control ever reads FAIL, the workbook is wrong, not the book.

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The four workbooks

• Chapters 1 to 3, 9 and 10

  The number that is not a cost

  The treasury report's 1,233,698 reproduced first, then dismantled by an identity: selling dollars forward and selling them spot while funding the gap both produce 106,766,301.76 of sterling in a year, to eight decimal places. If they did not, there would be a riskless arbitrage. The forward points are the interest differential.

  Beside it the three real cost lines in present value over five years — the swap's 2.5 basis points, the currency bid/offer, and the credit charge — totalling 1,542,782 against the reported figure's 5,715,274 on the same basis. The largest of the three is the credit charge, the only one that is never invoiced. The swap is then run year by year at the declared path and at the curve's own implied forwards, where it returns minus 132,801: the dealer's spread, and nothing else.

  The_Cost_of_the_Hedge.xlsx · XLSX · 20 KB

• Chapters 4, 5 and 8

  A hedge that only hedges for a year

  Each of the five years with its struck rate, its forward and its settlement rate, so the sign of every annual result can be traced to one comparison. Years one and two are negative and years three to five positive on a path where sterling falls and recovers — and the sheet shows this is a property of rolling, not of the path.

  Then the three policies on the same path and the same company: do nothing, roll twelve months, lock five years at the outset. A spread of 35,179,321 between best and worst, more than anything a treasurer can do inside a policy. A tenor switch turns one policy into another so the spread can be watched opening and closing.

  The_Rolling_Programme.xlsx · XLSX · 18 KB

• Chapters 6 and 7

  The structure nobody priced

  Black-76 written out in spreadsheet formulas rather than carried, so the cap and floor can be re-struck at will. The collar sold as costing nothing transferred 1,577,235 to the company — the cliche runs the other way, and the point is not that the bank wins or loses but that nobody priced the structure in either direction.

  Then the programme reconducted, under both re-fixing conventions, with the premiums received and the settlements paid on common dates. And the year-three mechanism: a floor sold at 2,300 re-fixes to 2,731.84 after the price has risen, so the fall back to 2,640 charges the company 2,387,755 on a reduction in its own input cost. Under the zero-premium convention it is worse, and the sheet computes that too.

  The_Collar_Year_by_Year.xlsx · XLSX · 23 KB

• Chapters 11 to 17

  Two conventions, two opposite answers

  The mark-to-market of both hedges at each of the path's dates, with the tenors actually open and the swap netted against the currency position. Peaks of 43,749,502 before settlement and 31,000,344 after, against 36,000,000 of available liquidity. On one convention the five-year policy breaches by 7,749,502; on the other it has 13.9 per cent of headroom. Neither convention is wrong.

  Then a netting switch — one collateral agreement or two — and the rate and currency shock ladders with their break-evens in closed form: liquidity exhausted at a fall of 25.63 per cent rolling and 7.09 per cent locked. The ratio between the two policies is printed as the range it actually is, 4.43 to 4.50, and not as the constant it is convenient to call it.

  The_Collateral_Ledger.xlsx · XLSX · 23 KB

Conventions used throughout

Blue text	a hardcoded input — you may edit these
Yellow fill	an input cell; everything else on the sheet is a formula
Black text	a formula — do not overtype these
Checks sheet	the printed figure beside the computed one, with a PASS or a FAIL

Why the checks matter more than the models

A workbook that agrees with a book proves nothing on its own — the author wrote both. What the Checks sheets do is different: they force the model to reproduce, from a formula, a number that was printed before the model existed.

On this book the reference model went through four adversarial audit passes before a word was written, and two of them reversed a conclusion that had already been drafted. A forward ratio was upside down, so the rolling programme's five-year result changed sign; and a consumer's option positions had been coded as a producer's, so the collar's direction inverted. Twelve guards were then added because a mutation test showed the model would print a false sentence without them — including one that refuses to print any sentence claiming a movement the model does not compute.

The last pass found no wrong figure at all. What it found were sentences that were true when they were written and false when they were read.

Opening the files

The workbooks open in Microsoft Excel, LibreOffice Calc, Google Sheets and Numbers. They use no macros and no add-ins, so nothing needs to be enabled or trusted. If your spreadsheet asks to update links on opening, decline — there are none.

Articles on this book

• How much more margin does a five-year hedge call than a rolling one?A locked five-year hedge calls 4.48 times the margin of a rolling one and exhausts 36,000,000 of liquidity at 7.09 per cent.
• Pricing StrategyA list price of 148.00, a pocket price of 112.51, and the nine deductions in between — with what one point of price is actually worth.

Also by Julian R. Sterling

The other books with companion files. The full list of titles is on the author page.

• Breaking Into European Defence ProcurementThe money and the instruments, the 35 per cent content test, and proposal economics.
• Closing the DealTwo defensible bridges 20.70 million apart, a peg worth 7.00 million, and the six choices that remove 6.60 of a 12.00 earn-out.
• CMBS and CRE CLOsWhere the loss actually lands, from appraisal reduction to realised severity, and what the B-piece is really being paid for.
• How to Read a Commercial LeaseThe three refinements chapter 19 names and never performs, and the renewal rate below which the mark-to-market is worth nothing.
• How to Read a Credit AgreementWhere the default actually comes from, the cure that costs 5.5 times the other, and the capacity nobody adds up.
• How to Read a Limited Partnership AgreementWhat the clawback actually collateralises, and why every dollar won on the tax clause lands in the uncollateralised column.
• How to Read a Private Funds Financial StatementsThe Harbourgate reporting pack, five worked cases, and rebuilding your own account.
• How to Read a Real Estate Loan AgreementThe cure ratio in closed form, the four-point window in which the cheap cure works, and the cure sized to the wrong threshold.
• Insurance Capital for Asset ManagersWhy the same fund costs two insurers different amounts, and what opacity costs a manager in euros.
• Logistics and Industrial Real EstateNet effective rent, the ageing asset, and the development letting decision.
• Office Real EstateA six per cent yield that returns 3.2 per cent once the re-letting cycle is paid for, and the headline-to-net-effective rent arithmetic.
• Operational Due Diligence in Private EquityThe rating model built and then broken, and why refining a rubric weakens it.
• Personal Finance for BeginnersWhat a minimum payment really does, and what the snowball and the emergency fund actually cost.
• Private Equity Investor RelationsWhat a fund has returned, read six ways — and the eleven-point gap between them.
• Private Equity Real EstateBoth worked waterfalls to the dollar, the two capital stacks, and the arithmetic of the promote made changeable.
• Private Markets PerformanceThirty-one of the thirty-three figures chapter 19 publishes reproduce exactly — and the two that do not are named rather than quietly adopted.
• Raising a Real Estate FundThe chapter 17 funnel run on a calendar — when the first close actually lands, and why more travel does not help.
• Real Estate FinanceFour people look at one building and reach four numbers; the lender is whole only above 105,109,489, twelve per cent below today’s value rather than forty.
• Real Estate Financial ModelingProperty, development and fund models built line by line, and the modelling test worked end to end.
• Real Estate Fund ManagementThe waterfall of 6.11, the build-to-core of 8.7 and the proceeds gap, reproduced as live formulas rather than asserted.
• Real Estate Joint VenturesThe JV waterfall and promote, the complete venture, and failure to fund.
• Real Estate Transaction Due DiligenceWhat the diligence cost, which workstreams paid for themselves, and the investigation the book skips, priced.
• REIT Analysis and ValuationFFO of 532.0, AFFO of 381.0, net asset value and dividend safety — every figure a formula you can change.
• Retail Real EstateThe occupancy cost of every unit in a centre, the sixteen per cent of the rent roll no tenant can sustain, and the right-size-convert-or-hold decision priced.
• Sale and LeasebackA €179.5 million transaction end to end, with rent cover measured on the entity that actually signs the lease.
• Self-Storage Real EstateThe cohort engine behind a 590-unit store, and the rate increase on existing customers priced against the move-outs it causes.
• Senior Living and Healthcare Real EstateThe resident engine of a seventy-bed home, the payor mix, and a rota costed at the employer's real hourly rate.
• Significant Risk TransferThe bank's ceiling and the investor's floor derived independently, and the narrow band of prices at which both can say yes.
• Stock Market Investing for BeginnersWhat compounding and fees actually cost, with figures — and a calculator for your own.
• Student Housing Real EstateRevenue per available bed against the rate card, the letting campaign week by week, and the cost base of a 520-bed scheme.
• The AIFMD II HandbookThe reverse stress test computed, and the facility term that moves it more than any asset.
• The Asset-Based Finance HandbookThe borrowing base off a live loan tape, the Meridian transaction, and trigger design.
• The CBAM Compliance HandbookWhat 2027 really costs, how big the buffer should be, and the term the surrender formula counts twice.
• The Co-Investment PractitionerWhat dilution really costs, what a pay-to-play clause is worth, and how much to hold back.
• The Continuation Fund HandbookThe Thalia transaction, the bid funnel, and the fees behind the roll decision.
• The Data Center Development HandbookThe underwrite computed: the levered return the chapter never builds, and what a twelve-month slip costs.
• The Distressed Debt InvestorWhere the fulcrum security actually breaks, and what an 80-cent recovery is worth once composition and time are priced.
• The ESG Manager in Private EquityThe exit in equity and IRR, the line the book drops, and the half-turn nobody controls.
• The EU AML HandbookThe back book sized, and the month beyond which no headcount recovers a one-year window.
• The Evergreen Fund HandbookWhat the sleeve costs, and the headline IRR at which a closed-ended fund merely ties.
• The Family Office ProfessionalWhat an office costs, and the level of wealth at which building one starts to pay.
• The Fund Finance ProfessionalChapter 8 builds the reported-to-eligible NAV bridge; chapter 9 computes every ratio without it. Two points at every state — and what a subscription line does to the IRR.
• The Growth Equity InvestorWhat a pro rata cheque really costs, and the band where defending your ownership loses money.
• The Infrastructure Investment AnalystDebt sculpted to a coverage floor, and one asset valued twice to the last decimal.
• The Private Credit InvestorThe two coverage ratios are not measured on the same thing: the erosion is 47.7 per cent, not the 28.7 the headline implies.
• The Private Equity Fund Controller PlaybookThe book defines IRR, DPI, RVPI and TVPI, tells you to update them at the exit, and prints not one value. Computed: a 1.833× deal inside a fund at 0.892 TVPI.
• The Private Equity Operating PartnerThe value creation bridge built in full, and who actually made the return.
• The Private Fund Compliance OfficerThe grey zone as basis points, a broken deal four ways, and how many items you must test.
• The Private Markets Limited PartnerWhat a co-investment programme really saves, and the loss rate that erases it.
• The Private Markets Valuation SpecialistThe book describes its illustrations without numbers on purpose. These files close the chain, with every step visible.
• The Private Wealth FundraiserThree peaks, years apart, and the signature that tells a forecast miss apart.
• The Real Estate Asset ManagerBusiness plans, leasing, and what deferring the work on a building actually costs.
• The Real Estate Debt InvestorThe margin against the return on capital, the floor priced, and what prepayment protection buys.
• The Real Estate Development ManagerThe residual appraisal, the worked scheme, land diligence and the risk register.
• The Real Estate Secondaries InvestorAn eighteen per cent discount to net asset value that is really 9.18 once the reported value is unsmoothed.
• The Venture Capital AssociateWhat defending a position costs, and how many companies a reserve pool actually defends.
• Financial Risk ManagementA fund inside every limit that cannot meet a redemption — and the number that decides it is the one with no currency attached.
• Business ValuationThree advisers land 26.8 per cent apart on one company, and the whole gap turns out to be 1.96 points of perpetual growth.
• Quantitative FinanceThree models agree to a quarter of one per cent about a number that one unobservable input moves a hundred and three times as much.
• Asset ManagementFour people quote four returns for one mandate, all correct and 2.7017 points apart — forty-eight times the manager’s net skill.
• Alternative InvestmentsA manager reports 13.29 per cent and the endowment earns 6.26 — both correct, and only a third of the advertised advantage arrives.
• Credit AnalysisFour defensible EBITDAs on one borrower give leverage from 3.19x to 6.47x — and the add-back argument is fifty times the covenant headroom.
• Venture CapitalOne company out of twenty-eight returns 56.7 per cent of the fund, and half the capital goes in after the decision — at half the return.
• Machine Learning for FinanceFive people quote the accuracy of one credit model, all five are right, and the number that decides how much money it makes is none of them.
• Commercial Real Estate InvestingThe equity earned 8.6647 per cent and the investor received exactly 8.0000 — the preferred return, and nothing above it.
• Mergers and AcquisitionsThe board paper says the deal creates 13,436,667 of value. The arithmetic says it destroys 17,530,855. Nobody is lying.
• Treasury ManagementFive cash balances for one company, all correct and 145,600,000 apart — and the revolver that is two-thirds of the liquidity leaves at a revenue fall of 8.4127 per cent.
• Financial Planning and AnalysisRevenue 3.0190 per cent above budget and operating profit 16.3209 per cent below it, in the same quarter, with every figure correctly stated.
• Energy TradingA position report that is 91.7031 per cent hedged and correctly computed, on a book that is short 2,542,000 MWh — and a margin call of 198,400,000 the next morning.
• The Private Equity Secondaries InvestorThe seller’s floor beside the buyer’s ceiling — and the zone that usually is not there.
• Construction Cost ControlA contract sum of 26,301,102 became a final account of 29,153,363 on the building that was drawn — and 85.8 per cent of what was lost was knowable on the day it was signed.

These files accompany Derivatives. The book is on Amazon.

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