Offit handed him the iPhone so he could see for himself. The man’s eyes widened. “Wow,” he said. “That’s more of a response than we can get out of him.”

Trump International Hotel, Washington: $170 million loan (2014). Brooks Kraft/Getty Images

The officer asked what Offit’s connection was to the president. Offit replied, “I loaned him half a billion dollars.”

The roughly $425 million that Offit helped arrange for Trump back in 1998 was the start of a very long, very complicated relationship between ­Deutsche Bank and the future president. Over the course of two decades, the bank lent him more than $2 billion — so much that by the time he was elected, ­Deutsche Bank was by far his biggest creditor. Against all odds, Trump paid back most of what he owed the bank. But the relationship cemented ­Deutsche Bank’s reputation as a reckless institution willing to do business with clients nobody else would touch. And it has made the company a magnet for prosecutors, regulators and lawmakers hoping to penetrate the president’s opaque financial affairs.

Last April, congressional Democrats subpoenaed ­Deutsche Bank for its records on Trump, his family members and his businesses. The Trump family sued to block the bank from complying; after two federal courts ruled against the Trumps, the Supreme Court has agreed to hear the case, with oral arguments expected in the spring. State prosecutors, meanwhile, are investigating the bank’s ties with Trump, too. The F.B.I. has been conducting its own wide-­ranging investigation of ­Deutsche Bank, and people connected to the bank told me they have been interviewed by special agents about aspects of the Trump relationship.

If they ever become public, the bank’s Trump records could serve as a Rosetta Stone to decode the president’s finances. Executives told me that the bank has, or at one point had, portions of Trump’s personal federal income tax returns going back to around 2011. (Deutsche Bank lawyers told a federal court last year that the bank does not have those returns; it is unclear what happened to them. The Trump Organization did not respond to multiple requests for comment.) The bank has documents detailing the finances and operations of his businesses. And it has records about internal deliberations over whether and how to do business with Trump — a paper trail that most likely reflects some bank employees’ concerns about potentially suspicious transactions that they detected in the family’s accounts.

One reason all these files could be so illuminating is that the bank’s relationship with Trump extended well beyond making simple loans. ­Deutsche Bank managed tens of millions of dollars of Trump’s personal assets. The bank also furnished him with other services that have not previously been reported: providing sophisticated financial instruments that shielded him from risks and outside scrutiny, and making introductions to wealthy Russians who were interested in investing in Western real estate. If Trump cheated on his taxes, ­Deutsche Bank would probably know. If his net worth is measured in millions, not billions, ­Deutsche Bank would probably know. If he secretly got money from the Kremlin, ­Deutsche Bank would probably know.

Until the 1990s, ­Deutsche Bank was a provincial German company with a limited presence outside Europe. Today it is a $1.5 trillion colossus, one of the world’s largest banks, with offices in 59 countries — and, thanks to its well-­documented pattern of violating laws, an international symbol of greed, recklessness and hubris. Its rap sheet includes manipulating international currency markets; playing a central role in rigging a crucial benchmark interest rate known as Libor; whisking billions of dollars in and out of Iran, Syria, Myanmar and other countries in violation of sanctions; laundering billions of dollars on behalf of Russian oligarchs, among many others; and misleading customers, investors and American, German and British regulators.

­Deutsche Bank’s envelope-­pushing helped it become the global power player it is today, but it also left the company dangerously frail. Its books remain stuffed with trillions of dollars of risky derivatives — the sort of instruments that many other banks have disposed of since the 2008 financial crisis but that persist as a kind of unexploded ordnance in ­Deutsche Bank’s accounts, threatening to inflict severe damage on the bank and the broader financial system if something were to cause them to detonate. Its financial cushions to absorb future shocks are threadbare. Its core businesses are not performing well; the bank lost $5.8 billion last year. Because of Deutsche Bank’s size and its connections with hundreds of other major banks around the world, serious problems could spread, virus­like, to other financial institutions. The International Monetary Fund a few years ago branded ­Deutsche Bank “the most important net contributor to systemic risks” in the global banking system.

­Deutsche Bank’s relationship with Trump, rather than being an odd outlier, is a kind of object lesson in how the bank lost its way. The company was hungry for growth, especially in the United States, and it was happy to cozy up to clients that better-­established players viewed as too damaged or dangerous. Along the way, it missed one opportunity after another to extricate itself from the Trump relationship or at least slow its expansion. With hindsight, the procession of miscues and bad decisions appears almost comical.

I have spent the past two years interviewing dozens of ­Deutsche Bank executives about the Trump relationship, among other subjects. Quite a few look back at the relationship with a mixture of anger and regret. They blame a small group of bad bankers for blundering into a trap that would further damage ­Deutsche Bank’s name and guarantee years of political and prosecutorial scrutiny. But that isn’t quite right; in fact, the Trump relationship was repeatedly blessed by executives up and down the bank’s organizational ladder. The cumulative effect of those decisions is that a German company — one that most Americans have probably never heard of — played a large role in positioning a strapped businessman to become president of the United States.

40 Wall Street, New York: $125 million loan (1998). Raymond Boyd/Getty Images

Founded in 1870, ­Deutsche Bank spent most of its first 12 decades helping mighty German companies like Siemens expand internationally, as well as bankrolling infrastructure projects — primarily railroads — in Europe, Asia and North America. (Before and during World War II, the bank was a leading financier of the Nazis, helping to pay for projects including the construction of Auschwitz.) As the Iron Curtain fell, ­Deutsche Bank executives saw an opportunity to surf the tide of globalization and become a truly global institution.

The modern multinational corporation — operating in dozens of countries; buying and selling products and raw materials in a slew of different currencies; seeking to protect itself from volatile prices, fluctuating foreign-­exchange rates and sundry unforeseeable risks — needed banks that would provide much more than run-of-the-mill loans. Now financial institutions were expected to underwrite stock and bond offerings, enable seamless transactions across international borders and in multiple currencies and create financial instruments known as derivatives that customers could use to insulate themselves from big swings in interest rates, dairy prices, the weather and the like. Top Wall Street banks were beginning to offer these services to German companies and even the German government. To defend its turf, ­Deutsche Bank needed to learn to compete with the Americans.

In 1989, the bank took its first small step into this new financial world by acquiring a venerable British investment bank, Morgan Grenfell. Then, in 1995, ­Deutsche Bank hired a small crew of traders from Merrill Lynch — at the time one of Wall Street’s leading firms — led by a charismatic and impulsive salesman named Edson Mitchell. The American and British governments were rolling back regulations on the banking industry, and the giants of Wall Street were getting bigger, fast. ­Deutsche Bank needed to act quickly to have any chance of catching up. Over the next couple of years, Mitchell’s team spent billions of dollars hiring thousands of bankers and traders from just about every major investment bank — perhaps the greatest mass migration in Wall Street’s history. One recruit was Mike Offit; another was Justin Kennedy, a son of the Supreme Court justice Anthony Kennedy.

Offit and Kennedy were traders at Goldman Sachs together, creating and selling mortgage bonds and working for Steven Mnuchin, now the Treasury secretary. By the time ­Deutsche Bank came knocking in the late 1990s, both men were ready for a change. (Plus, Offit claims, Mnuchin stiffed him when it came to compensation.) The German bank lured them, as it had others, by promising them the freedom, budget and entrepreneurial culture to help establish the bank as a formidable player on Wall Street — a euphemistic way of saying that the bank had a higher tolerance for risk than many rivals. Come to ­Deutsche Bank, and you could do bigger trades. Offer larger loans. Make bolder acquisitions. Earn more money.

Offit and Kennedy were hired to build, essentially from scratch, a machine to package giant loans — for skyscrapers, hotels and other commercial real estate projects — into salable securities. At the time, selling and trading these mortgage-­backed bonds was one of the hottest businesses on Wall Street. Success would not only be remunerative; it would help burnish ­Deutsche Bank’s credentials as a serious challenger to the Wall Street elite.

Among the first steps was finding recipients for the loans — and that is how Donald Trump became a customer of ­Deutsche Bank. Two decades after striking out on his own in real estate, Trump was then at a low point of his career. He had recently defaulted on his debts to a number of large Wall Street banks — the consequence of many hundreds of millions of dollars of unwise, overleveraged investments in the casino and hotel industries — and was eager to find a financier willing to look past these sins. In 1998, Offit arranged to lend hundreds of millions of dollars to finance Trump’s gut renovations of an Art Deco tower at 40 Wall Street and his construction of a skyscraper next to the United Nations.

Shortly thereafter, Offit was let go — he says he fell victim to internal politics — and Kennedy soon climbed toward the top of the commercial mortgage bonds business. His specific role was finding customers to buy parts of that debt — a key component of ­Deutsche Bank’s ability to make the loans in the first place. He continued cultivating the relationship with Trump, helping to line up hundreds of millions of dollars in borrowings.

Kennedy became friendly with Trump, sometimes joining him in his luxury box at the U.S. Open tennis tournament or saying hello to him at Manhattan nightclubs, where Trump would park himself at a table in the corner, holding court. For ­Deutsche Bank, the relationship offered both money and prestige. Trump owed interest on the loans and also had to pay millions of dollars in fees each time the bank arranged a new one. Trump’s recent history notwithstanding, the bank believed that the risks were minimal — the loans were earmarked for projects that appeared financially sound — and its executives were eager to build their brand recognition in the United States. One way to do that was to publicly align itself with a flashy businessman who, for all his recent screw-ups, was nothing if not recognizable. Trump soon became a regular at ­Deutsche Bank’s annual pro-am golf tournament.

Trump, however, had a nasty tendency to stiff his business partners and associates. There was an extensive list of Trump contractors, vendors and lawyers who had to settle for a fraction of what they were owed after Trump threatened to pay nothing at all. Banks, from Wall Street powerhouses like JPMorgan to foreign lenders like Britain’s NatWest, had fared little better. Time after time, Trump’s casino companies defaulted on their debts, filed for bankruptcy and ultimately agreed to pay back their creditors pennies on the dollar.

Trump World Tower, New York: $300 million loan guarantee (1998). Carlo Allegri/Reuters

Merrill Lynch learned this lesson the hard way when it helped Trump sell $675 million of bonds to pay for work on his Taj Mahal casino on the Atlantic City boardwalk in 1988. The gaudy casino — the world’s largest — opened its doors two years later, bedecked with bright-­colored onion domes and laden with debt. Within months, it defaulted on the bonds. The unpleasant task of mopping up this mess fell to a Merrill executive named Seth Waugh. Trump threatened to tie his lenders up in years of bankruptcy-­court litigation if they didn’t agree to let him largely off the hook for what he owed. Nobody doubted Trump’s litigiousness, and Waugh and his Merrill colleagues ultimately accepted what amounted to deep losses on the bonds.

[Read more about Trump’s rise from the ashes of his Atlantic City mess.]

In 2000, Waugh joined ­Deutsche Bank. Perma-­tanned and with long, floppy hair, Waugh developed a reputation among some ­Deutsche Bank colleagues for being a bit of a lightweight. They derided him for spending more time on the golf course than he did in the office. (Today Waugh is the chief executive of the Professional Golfers’ Association of America.) But he enjoyed the confidence of one of ­Deutsche Bank’s highest-­ranking executives, Josef Ackermann, who helped recruit him from Merrill Lynch. In 2001, Waugh learned that ­Deutsche Bank was planning to lend Trump about $500 million to use as he wished — basically an unrestricted cash infusion to stabilize his flagging finances. Having witnessed up close the carnage that Trump could inflict on imprudent financial institutions, Waugh was in no hurry to repeat the experience.

The loan that was being offered now wouldn’t have required Trump to put up any hard assets as collateral; he was requesting to borrow $500 million against the $1 billion of “good will” that Trump claimed was associated with his name. That made the transaction even riskier: If Trump stopped repaying, ­Deutsche Bank would have no easy way to get its money back. Waugh voiced strong objections to the loan, and the deal died.

Waugh would soon be named the head of Deutsche Bank’s American businesses, and he had the power to put a stop to the bank’s broader Trump relationship. He didn’t. And in 2003, yet another division of ­Deutsche Bank, one that focused on helping companies raise money by selling stocks and bonds to investors, agreed to work with Trump. The point man on this venture was Richard Byrne — another Merrill veteran who had also been involved in the Taj Mahal debacle. (Byrne helped sell the ill-­fated Taj bonds to investors.) Now Trump hired Byrne’s group at ­Deutsche Bank to issue bonds for his Trump Hotels & Casino Resorts company.

It would have been reasonable to expect that Waugh would have warned Byrne about the recently rejected $500 million loan, but that never happened. So Byrne pressed on, organizing a “road show” for Trump to meet with and try to win over big institutional investors. When that didn’t drum up the desired money, Byrne’s salesmen worked the phones, casting a wider net for more clients and managing to sell more than $400 million of junk bonds (albeit at a high interest rate that reflected investors’ fears that Trump might default). Trump repaid the ­Deutsche Bank team with a weekend trip to his Mar-­a-­Lago resort in Palm Beach, Fla.

The following year, with his casinos on the rocks, Trump’s company stopped paying interest on the bonds and filed for bankruptcy protection. (“I don’t think it’s a failure,” Trump said. “It’s a success.”) ­Deutsche Bank’s clients, the ones who had recently bought the junk bonds, suffered painful losses. In the future, Trump would effectively be off-­limits for Byrne’s division.

But that still didn’t render Trump persona non grata for the entire bank. This was a product, at least in part, of ­Deutsche Bank’s internal dysfunction. Many big companies are compartmentalized, but ­Deutsche Bank took it to an extreme. It wasn’t just that rival divisions of the bank didn’t communicate well; they often battled against one another to win clients and amass power for their leaders within the organization — a poisonous atmosphere that Trump, perhaps inadvertently, managed to exploit.

Trump soon went back to the commercial real estate group, asking for a loan to build a 92-­story skyscraper in Chicago. He reportedly seduced the ­Deutsche bankers with flights on the same 727 that had recently taken Byrne’s salesmen to Florida. He invited Kennedy and his colleagues to Trump Tower and lavished them with praise. He explained that his daughter Ivanka would be in charge of the Chicago development — that’s how important this project was to the Trump Organization.

Just as Waugh hadn’t warned Byrne about the rejected Trump loan, now Byrne didn’t warn Kennedy and the other commercial real estate bankers about his own recent Trump experience. “We just looked the other way,” a former executive explains. “That was the ­Deutsche Bank culture.”

Trump Hotels & Casino Resorts, Atlantic City. Bond offering of more than $400 million (2003). Michael Ein/The Press of Atlantic City, via Associated Press

In 2002, Joe Ackermann was named chief executive of ­Deutsche Bank. A reserve officer in the Swiss military and a number cruncher with a nearly photographic memory, Ackermann also had a notoriously short fuse. His staff was terrified of disappointing him.

Shortly after taking charge, he made a bold and fateful public promise: The bank would become roughly six times as profitable within a couple of years. Senior executives from that era say that in order to achieve Ackermann’s objective, they quickly shifted the priorities inside the bank. The overriding mission became to make as much money as possible, as quickly as possible, with scant attention to the long-term consequences. A saying took hold among the bank’s leaders: “The current quarter is the most important quarter we’re ever going to have.” Shareholders now became the bank’s most important constituency.

On the surface, Ackermann’s strategy seemed successful. The bank met his lofty profitability targets on schedule, in part by increasingly using its own money — as opposed to customers’ — to shoot for the moon with speculative market bets, a strategy known as proprietary trading. The bank’s shares climbed higher. The company was showered with industry awards.

Years later, it would become clear how ­Deutsche Bank pulled this off: by taking dangerous shortcuts and, at times, breaking the law. In its zeal to goose its profitability metrics, the bank neglected to invest enough in internal technology systems or top-tier compliance and risk-­management staffs. When employees cooked up schemes to launder money, violate sanctions, manipulate markets, avoid taxes or mislead customers, there were few internal checks and balances to detect or stop such behavior. In the rare instances when employees voiced concerns, they were often ignored and were sometimes punished for getting in the way of the boss’s all-­important profitability directive.

Trump was among the beneficiaries of these shortcuts. Before making the Chicago loan, ­Deutsche Bank conducted an informal audit of his ­finances. Trump had declared to the bank that he was worth more than $3 billion, but ­Deutsche Bank concluded that the real number was closer to $788 million — a quarter of what Trump said it was. For most banks, this would have been disqualifying, but ­Deutsche Bank was undeterred. Executives were so eager for growth and big deals that they managed to look past the obvious red flags. In February 2005, ­Deutsche Bank agreed to lend him $640 million for the Chicago project.

Around this time, and out of public view, ­Deutsche Bank provided a series of other services to Trump that haven’t been previously reported. It created numerous “special purpose vehicles” to make it easier for him quietly and inexpensively to acquire international properties for himself and his companies. Trump at the time was trying to diversify his portfolio of assets outside the United States, striking deals to buy properties outright and simply slapping his name on other people’s buildings. Thanks to the magic of financial engineering, the vehicles ­Deutsche Bank created enabled Trump to do real estate deals in places like Eastern Europe and South America without putting any of his own money on the line. Not only was he taking out loans to finance the acquisitions, but he was also using other people’s money to cover the small “equity” portion of the purchases. ­Deutsche Bank would sell investors the rights to whatever revenue the projects generated in the future in exchange for the investors’ — or the bank’s — covering the money Trump owed upfront for the acquisitions. As a result, ­Deutsche Bank and investors bore the risk, over many years, that the Trump projects would not bring in as much money as expected.

This sort of structure was hardly unheard-­of for real estate developers. “It’s a well-­seasoned financing technique,” Mark Ritter, a ­Deutsche Bank executive who was familiar with the transactions at the time, told me. It was an easy way for the bank to generate a steady stream of fees from deep-­pocketed customers. But it increased the bank’s already heavy exposure to Trump — and helped the mogul strike under-­the-­radar deals in far-flung locales, including some that were popular destinations for people looking to hide assets.

­Deutsche Bank also helped Trump find buyers for condos in his properties, according to people familiar with the arrangements. When he partnered in 2006 with a Los Angeles developer to build a Trump-­branded resort in Hawaii, ­Deutsche Bank organized get-­togethers in London and elsewhere to connect Trump and his partners with wealthy clients — including some from Russia — who used anonymous shell companies to buy units in the Waikiki hotel complex.

Some senior executives discussed the potential pitfalls of the Trump relationship. It wasn’t only the not-­insignificant risk that Trump would default on loans. The bankers also talked about Trump’s well-­documented ties to the organized-­crime world — he had done business with people in or affiliated with the mob in Atlantic City and New York — and the possibility that his real estate projects were laundromats for illicit funds from countries like Russia, where oligarchs were trying to get money out of the country. “Everyone in the real estate business was involved in ‘flight capital,’ ” a top executive told me. But the loans looked profitable, the relationship felt valuable and the concerns went unheeded.

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'We just looked the other way. That was the Deutsch Bank culture.'

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When the 2008 financial crisis arrived, Trump still owed $334 million on ­Deutsche Bank’s loan for his Chicago skyscraper. With the economy sinking, nobody was buying the luxury apartments in the building. As the loan’s due date approached that November, Trump filed a lawsuit, trying to void the loan because of the financial crisis, which he accused ­Deutsche Bank of having helped ignite. He sought damages of $3 billion. ­Deutsche Bank filed its own suit, seeking to recoup the $40 million portion of the loan that Trump had personally guaranteed back in 2005. Shortly after the suit was filed, Trump bumped into Justin Kennedy. “Nothing personal,” Trump said. Kennedy replied that there were no hard feelings: Business was business. (Kennedy left the bank at the end of 2009.) But the lawsuit did what the defaults somehow had not: It prompted Deutsche Bank to wash its hands of Donald Trump. In the future, he wouldn’t even be permitted to enter the bank’s golf tournament.

Relative to many of its ruined rivals, ­Deutsche Bank enjoyed a “good” financial crisis. It lost billions, but it had also placed market bets that anticipated the housing crisis, and the resulting profits largely made up for other losses. It was one of the few major international banks that seemed strong enough to avoid a direct government bailout, and many investors were pacified by the knowledge that if things got really dicey, the German government would come to the rescue.

For a brief spell, ­Deutsche Bank was the toast of the financial world. Within a few years, though, it had become one of the industry’s leading problem cases. The crisis — and the waves of new regulations that came afterward — fundamentally changed Wall Street. ­Deutsche Bank’s business model had hinged on making enormous wagers with borrowed money; in essence, the one-time icon of German sobriety had become a giant casino. Now this proprietary trading was outlawed in the United States. Regulators around the world — deeply suspicious of the sort of adrenaline-­crazed, rule-­bending tactics that had come to define ­Deutsche Bank — also pushed banks to lessen their reliance on borrowed funds.

Cocky from their performance during the crisis, ­Deutsche Bank executives initially refused to do so. Nor did they use this moment of relative strength to rid the bank of the mountains of unwanted assets — in particular, trillions of dollars’ worth of derivatives that had the potential to saddle the bank with enormous losses — that were polluting its balance sheet.

One of the few concessions the bank did make to the new era was to start looking for safer ways to earn money. One was private banking: providing personalized services to the richest of the American rich. To differentiate its then-­sleepy private-­banking division from the competition, ­Deutsche Bank planned to work with customers who were untouchable for rival banks and to do deals that were too risky or too complicated for others to stomach — a variation on the strategy that Offit and Kennedy’s squad had deployed a decade earlier when trying to get the commercial real estate business off the ground. And no one was more central to that project than a woman named Rosemary Vrablic.

Vrablic grew up in the Bronx and then the New York City suburb of Scarsdale and started out as a bank teller before eventually landing a job analyzing proposed loans. In 1989, a headhunter recruited her for a job in Citicorp’s private-­banking arm. Citi was widening its suite of offerings to such clients, including by making loans to finance their big real estate projects. She quickly took advantage of this new lending service to become one of New York’s leading bankers to the superrich, first at Citi and then at Bank of America. Vrablic specialized in dealing with difficult men. “They’re successful, and they’ve earned their money by being tough,” she explained in an interview years later. “So I don’t have a problem with tough.” One of her youngest clients was Jared Kushner, who was taking over his family’s real estate company.

In 2006, Vrablic met Tom Bowers, who had joined ­Deutsche Bank the year before with a mandate to help the German bank make a name for itself among ultrawealthy Americans. Vrablic, who was 46 at the time, soon agreed to join ­Deutsche Bank, with a guaranteed salary and bonus of at least $3 million a year. She started bringing in tens of millions of dollars in annual revenue for the bank. Bowers told me she was by far the top producer in the bank’s New York offices.

The litigation between Trump and ­Deutsche Bank over the loan for his Chicago skyscraper was settled in 2010, with the bank agreeing to give Trump two years to make good on his obligations, including the $40 million that he had personally guaranteed. And if he wanted to keep expanding his empire, he would need to identify a new source of credit. The trouble, as ever, was that serious banks wouldn’t get anywhere near him. Even ­Deutsche Bank, it seemed, was now off-­limits after the Chicago fight.

In 2011, Jared Kushner invited Vrablic to visit his father-­in-­law at Trump Tower. Trump explained his situation to her and then popped the big question: Would Vrablic’s division consider lending him $40 or $50 million, with Chicago’s Trump International Hotel & Tower as collateral? That would allow him to repay what he still personally owed ­to Deutsche Bank. The whole idea — that one arm of ­the bank would lend money for the purpose of paying off defaulted debts owed to another part of the company — seemed crazy, but Vrablic was excited by the prospect of landing a major deal with a major new client. She took the proposal to Bowers, who agreed that it was worth considering.

Trump International Hotel & Tower, Chicago: $640 million loan (2005). John Walton/PA Images/Getty Images

A small team sifted through Trump’s personal and corporate financial records and tax returns. The first thing the bankers noticed was that Trump was, once again, vastly overstating his fortune, assigning absurdly high valuations to his real estate assets. In one especially egregious case, he claimed that a property he bought in Westchester County for about $7 million was now worth $291 million. The bank ended up reducing the assets’ values by as much as 70 percent.

The funny thing was that Trump’s underlying finances weren’t all that bad. He had limited debt, at least compared with his fellow real estate magnates, and cash was pouring in, apparently from TV royalties and licensing deals he had struck to put his name on properties he didn’t own. Making the transaction more palatable for ­Deutsche Bank, Trump was willing to personally guarantee the loan, meaning that ­Deutsche Bank in theory could seize his assets if he didn’t pay it back. (The fact that a similar, albeit smaller, personal guarantee hadn’t prevented him from defaulting on the original Chicago loan did not seem to bother the bank.) Vrablic and Bowers tentatively agreed to lend him $48 million.

When top executives in ­Deutsche Bank’s investment-­banking unit heard that another division was about to rekindle the Trump relationship, they were furious. The head of that unit, Anshu Jain, rang the alarm at a meeting of the bank’s top executives: How could ­Deutsche Bank do business with Trump after he had so publicly burned the bank? What precedent would that set for other would-be deadbeats? If Trump defaulted yet again, how would ­Deutsche Bank explain that to investors and regulators?

Bowers and Vrablic argued that the loan was sound. They grumbled that the investment bankers were just jealous that the private bankers had figured out how to structure a loan with Trump in a way that seemed virtually risk-free for ­Deutsche Bank. The squabble made it to the top of the bank — at which point Ackermann, the chief executive, said he didn’t object to the loan. (Ackermann told me that he doesn’t recall being consulted.)

The bank’s lawyers reviewed the question of whether the company could work with Trump and declared that “this client is cleared.” Stuart Clarke, ­Deutsche Bank’s chief operating officer in the Americas, emailed Bowers a similar message: “There is no objection from the bank to proceed with the client.” Attached to that email was a PDF file containing Trump’s personal and corporate financials, to make clear that everyone who had vetted the proposed transaction was fully aware of the new client’s heavy baggage.

The spigot was open again. When Trump decided to buy the rundown Doral Resort & Spa in Miami for $150 million in 2012, one of his first phone calls was to Rich Byrne, who years earlier helped Trump’s casino company sell junk bonds. Trump’s subsequent default on those bonds ended his relationship with ­Deutsche Bank’s securities unit, which Byrne now ran, but the two men had stayed in touch. Byrne agreed to take a look at the numbers, not bothering to tell Trump that ­Deutsche Bank was unlikely to actually help him with financing.

But the private-­banking division was in the mix. Trump invited Vrablic to Florida to see the property. The day after she got back to New York, she walked into Bowers’s office. “Trump wants to go buy Doral,” she explained, and he wanted ­Deutsche Bank to lend him the money to do it.

For the second time in a matter of weeks, Bowers dispatched a team to study a possible Trump loan. They concluded that, in fact, Trump was getting the resort at a reasonable price. The bank wired $125 million to the Trump Organization. Afterward, Trump called Byrne’s office. “Rich,” he bellowed, “I’m just calling to thank you! I know you must’ve approved it, but Rosemary and her team gave me the money.”

Thinking on his feet and happy to take credit, Byrne pretended that he knew all about the loan. He congratulated Trump and then, as an aside, asked about the interest rate that Vrablic’s squad was charging on the loan. Trump said it was well under 3 percent. Byrne couldn’t believe that ­Deutsche Bank, after everything it had been through with Trump, was now extending him a nine-­figure loan at such a low interest rate.

Trump National Doral Miami, Florida: $125 million loan (2012). Johnny Louis/Film Magic/Getty Images

When Trump bid roughly $1 billion for the Buffalo Bills football team in 2014, Vrablic agreed to back him. (Trump’s bid was rejected, so no loan was required.) A few months later, ­Deutsche Bank lent Trump $170 million to finance the transformation of the Old Post Office building in Washington into a Trump International luxury hotel. Vrablic’s division also lent millions of dollars to other members of the Trump and Kushner families.

Then, in the spring of 2016, Trump came looking for one more loan. It was ostensibly to pay for work on his golf course in Turnberry, Scotland. But Trump was running for president, and it was hard to avoid the suspicion that the loan he was requesting might have something to do with the fact that he was burning through gobs of his own cash on the campaign trail.

Bowers by then had left the bank. (He died in November 2019 in what the Los Angeles County coroner said was a suicide.) Vrablic and her managers said yes to the Scotland loan, but the deal had to be reviewed up the food chain. This would once have been part of Seth Waugh’s job, but he was no longer in charge of ­Deutsche Bank’s American businesses. His successor was a veteran investment banker named Jacques Brand.

Somehow Brand hadn’t realized until now that Trump was one of his company’s most important clients. He was alarmed. He was stunned that the people in his wealth-­management division thought it would be a good idea to lend tens of millions more to Trump — especially right now, in the middle of this violent brawl of a presidential campaign. “Why are we doing business with him?” Brand fumed to his colleagues. “The answer is no.”

Brand didn’t have the power to block the loan unilaterally, but he referred it to a committee charged with safeguarding the bank’s reputation. After hearing a quick summary of the proposed loan, the committee unanimously voted to reject it. “It was an affront to all of our senses,” recalls an executive involved in the deliberations.

Vrablic and her colleagues appealed to another committee, in Frankfurt, which also rejected the proposal. The loan was dead. Nine months later, Trump was elected president. Vrablic received V.I.P. tickets to the inauguration, as well as hard-to-get accommodations in Trump’s newly opened Washington hotel that Deutsche Bank had financed.

In some respects, the association with a polarizing president has been bad for ­Deutsche Bank’s business. Executives told me it has become a bit harder to win assignments from public institutions, like government-­employee pension plans. And ­Deutsche Bank has become an enticing target for ambitious prosecutors and politicians around the world — including Democrats who, after taking control of the House of Representatives last year, swiftly issued subpoenas for the bank’s records on Trump, his family and his companies.

But remarkably, in the final accounting, the Trump relationship may have been an overall positive for both the loyal bank and its prized client. Trump got the money he needed to keep buying and building, which in turn allowed him to maintain the reputation as a respectable businessman that he eventually rode to the White House. ­For its part, Deutsche Bank has pocketed tens of millions of dollars in fees and interest payments. The bank won’t comment on whether Trump is up-to-date with his loan payments, and Vrablic, who remains a bank employee, has declined to publicly discuss her relationship with Trump. But Trump is not known to have defaulted on any of his recent loans or otherwise burdened the bank with large losses; in fact, the overall relationship appears to be profitable.

Most likely, this reflects the bank’s luck, not skill, but some senior executives told me they view the outcome as a vindication of their work for Trump. Their attitude is reminiscent of the complacency that took hold after ­Deutsche Bank skated through the financial crisis, thanks to a combination of good fortune, well-­timed bets and the knowledge of a German government safety net. Some optimistic ­Deutsche Bank officials even believe that because the bank has refused to publicly divulge much about its famous client, it might emerge with an enhanced reputation for probity and discretion — and for getting big things done for desperate customers.

In any case, ­Deutsche Bank, along with the rest of its industry, is benefiting from having Trump in the White House. His administration has been systematically rolling back regulations erected after the financial crisis that were designed to hem in Wall Street and the world’s largest banks. The prohibitions on proprietary trading are loosening. The requirements for how much capital banks need to have are easing. The Consumer Financial Protection Bureau, created to shield borrowers from avaricious lenders, has been neutered. The presumption that the government needs to actively police what banks are doing has been replaced by the empirically dubious assumption that the private sector can mostly look out for itself. This hasn’t solved ­Deutsche Bank’s fundamental problems — its business model is broken, its balance sheet is littered with unwanted assets, its years of misconduct are under government investigation — but it has afforded the bank and the entire industry some much-­welcomed breathing room.

One week after the new president sent his thank-you email to Mike Offit in February 2017, Trump delivered his first address to a joint session of Congress. It was a subdued, disciplined performance in which he hewed, more or less, to the teleprompters and sounded, more or less, like a mainstream politician. After stepping down from the lectern, Trump shook hands with the dignitaries in the audience. In the front row were the Supreme Court justices.

Trump moved down the line until he got to Anthony Kennedy. As Trump pumped the justice’s hand, Kennedy congratulated him on a successful speech. “Very nice, thank you,” Trump replied. “Say hello to your boy,” he added, patting the justice’s arm. “Special guy.”

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