Finance-Theory · Unit 4 · Video 2 · Interactive Practice

Who Absorbs the Loss: Non-Recourse Keys, a Rate Cut, and the Weekend the Fed Refused

IKey Formulas

Relation	Name	What it settles
$V_{\text{book}} \longrightarrow V_{\text{mkt}}$	Marking to market	The books give up an estimate and take the price a transaction established: a sealed box nobody had ever traded had no market value until a bidder paid $45 for it
$\Delta P = 12\,(P_{\text{reset}} - P_{\text{teaser}})$	Payment shock at an ARM reset	$12,000 − $3,600 = $8,400 more a year, on the same house and the same debt
$D = \max(0,\; L - V)$	Deficiency on a foreclosure sale: loan balance $L$ , what the house fetches $V$	Non-recourse: the lender absorbs $D$ . Recourse: the lender may pursue salary and savings for it
$\dfrac{18.63\%}{6.95\%} = 2.68$	The 30-year fixed, record against today	October 1981's weekly-average peak was 2.68 times the mid-September 2026 average

Key Insight: A loss moves; it does not evaporate. Walking away hands it to the lender, a rate cut hands it to everyone holding dollars, and a rescue hands it to the taxpayer — Lehman's problem was that it had nobody to hand it to.

IIThe Reset

A teaser payment of $300 a month becomes $1,000 on the same house and the same debt.

Month 24

💡 The equity is already gone when the reset arrives, and roughly twenty years of payments would be needed just to get back to even — which is why the next question is whether the borrower can simply stop.

IIIWhere the Loss Lands

A loss does not evaporate: it stops with whoever is left holding it.

Case

IVIs 6.95% a High Rate?

Whether a mortgage rate is high is a question about the record, not about the month.

1981 peak ÷ Sep 2026 rate 1.50×

💡 A cut does not reach every borrower equally: heavy defaults withdraw subprime credit, so a genuinely good credit who fails prime criteria suffers for it. At equilibrium, though, each type pays the price its signal earns.

VQuiz Questions

Problem 1 · The Reset in Cash Terms

Given: an adjustable-rate mortgage whose teaser payment is $300 a month. A year later the rate resets and the payment becomes $1,000 a month. How much more does the borrower hand over in the second year, on the same house and the same debt?

✅ Correct! Annualized, the teaser year costs

12 \times 300 = 3{,}600

and the second year

12 \times 1000 = 12{,}000

, so the reset takes $8,400 more out of the same household for the same house.

❌ That is one month, not a year. $1,000 − $300 = $700 is the monthly increase; twelve of them are

12 \times 700 = 8{,}400

❌ $12,000 is the whole second-year bill. The first year already cost $3,600, and the question asks for the increase:

12{,}000 - 3{,}600 = 8{,}400

❌ Not quite. Annualize each payment first:

12 \times 300 = 3{,}600

against

12 \times 1000 = 12{,}000

Show solution

Annualize each payment, then difference them:

12 \times 300 = 3{,}600, \qquad 12 \times 1000 = 12{,}000

\Delta P = 12{,}000 - 3{,}600 = 8{,}400

Nothing about the asset or the debt has changed — only the rate on the loan has reset. The borrower owes $8,400 a year more on a house whose market price has already fallen below the loan, which is why the equity is gone and roughly twenty years of payments would be needed to get back to even.

Problem 2 · Who Keeps the Shortfall

Given: a borrower in a non-recourse state stops paying and hands back the keys. The lender forecloses, and the house sells for less than the loan balance. What happens to the shortfall?

✅ Correct! Non-recourse means the collateral is all the lender holds: the most it can do is take the property and sell it, and

D = \max(0,\, L - V)

stops with the lender. Salary and savings sit outside that claim.

❌ That is a recourse loan. In other states the lender can come after the borrower for the deficiency, which is exactly why the answer turns on state law and on the loan documents. Under a non-recourse mortgage the house is the whole of the lender's claim.

❌ No such backstop exists for an ordinary mortgage. The 2008 support ran to firms — Bear Stearns, Fannie Mae, Freddie Mac — not to the collateral behind individual loans, and the Fed declined even to backstop a Lehman sale.

❌ A sale is not a mark. Marking to market writes a value down on paper; a foreclosure sale is a transaction that realizes the loss in cash, and somebody has to be holding it afterwards.

Show solution

Write the shortfall as the deficiency on the sale, with loan balance $L$ and sale price $V$ :

D = \max(0,\; L - V)

The mortgage contract decides who carries $D$ , not the size of $D$ :

Non-recourse (many states): the lender holds the house as collateral, and the house is all it holds. It forecloses, sells, and keeps $D$ .
Recourse (other states): the lender may also pursue the borrower's salary and savings for $D$ .

Walking away is not costless — the default marks the borrower's credit record, five or seven years as a rule of thumb — but in a non-recourse state the cash loss beyond the house is the lender's.

Problem 3 · Reading a Rate Against the Record

Given: the 30-year fixed-rate mortgage peaked at a weekly average of $18.63\%$ in October 1981, ran at about $10\%$ through the middle of the 1980s, and averaged $6.95\%$ in mid-September 2026.

How many times the September 2026 average was the 1981 peak?

And the mid-1980s rate, measured the same way?

✅ Correct!

18.63/6.95 = 2.68

and

10/6.95 = 1.44

: the record high was more than two and a half times today's rate, and the mid-1980s rate that priced a young buyer out was about 44% above it.

❌ A ratio is a division, not a difference.

18.63\% - 6.95\% = 11.68

percentage points, and

11.68/6.95 = 1.68

is how much higher the peak was — one less than how many times it was.

❌ Divide the older rate by today's.

10/6.95 = 1.44

; inverting gives

6.95/10 = 0.70

, and subtracting gives

3.05

percentage points.

Show solution

"High" is meaningless without a comparison, so divide each historical rate by the current one:

\frac{18.63\%}{6.95\%} = 2.68, \qquad \frac{10\%}{6.95\%} = 1.44

Both percent signs cancel, which is what makes the answer a pure multiple. The peak was more than two and a half times the September 2026 average; the mid-1980s level, high enough that a young assistant professor could not afford a house, was 1.44 times it.

The two common errors are visible in the distractors: subtracting instead of dividing gives $11.68$ percentage points (or $1.68$ once divided, which is the proportional increase), and inverting the ratio gives $6.95/18.63 = 0.37$ .

Problem 4 · The Weekend Before the Filing

Given: Lehman Brothers asked the Federal Reserve for help and was declined; Barclays was willing to buy provided the Fed supplied a backstop, and the Fed refused; with notes coming due and no sale possible inside 24 to 48 hours, Lehman filed for Chapter 11. What separates Lehman's position from a homeowner's in a non-recourse state?

✅ Correct! A non-recourse mortgage names the absorber in advance: hand over the keys and the shortfall stays with the lender. Lehman had no counterparty under that obligation — the Fed declined, Barclays would buy only with a backstop, and the loss stayed where it was until a bankruptcy court took it up.

❌ That reverses the protection. Non-recourse limits the lender to the collateral and so protects the borrower. Lehman's difficulty was not that its creditors were limited, but that nobody was obliged to absorb what was left.

❌ The Fed could act; it chose not to. It had backstopped Bear Stearns and stood behind Fannie Mae and Freddie Mac. Declining Lehman was a judgement about asking the same taxpayer for one more rescue, and about the backlash that would follow.

❌ Marking is not what made the loss real. Notes were coming due within 24 to 48 hours: cash had to be found, which is precisely when a mark stops being a number on somebody else's spreadsheet.

Show solution

Trace where the loss could go in each case.

The homeowner. The mortgage contract already answers the question: in a non-recourse state the lender holds the house and nothing else, so surrendering the keys transfers $D = \max(0,\, L - V)$ to the lender by agreement.

Lehman. Three routes were tried over the weekend and all three closed: the Fed declined to lend, Barclays would proceed only against a Fed backstop, and the Fed refused it. The taxpayer had already been asked for Bear Stearns, Fannie Mae and Freddie Mac, and would not be asked again.

With notes maturing inside 24 to 48 hours and no buyer, the filing was what remained. The homeowner had somebody contractually obliged to take the loss; Lehman had nobody.

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