Appendix I — Answers to Selected Exercises
This is a selected answer key, not a complete one — and that's deliberate. It works alongside the material already built into the chapters:
- Every chapter's
exercises.mdalready carries inline answers in<details>blocks for its calculation items. Open the "Numeric check" / "Answer" toggle under any math problem and the worked number is right there. This appendix doesn't repeat all of those; it pulls together the highest-value calculations — the ones where seeing the full setup (formula → plug in → answer → one-line read) builds a reflex you'll use at the desk — and works them end to end in one place. - Every chapter's
quiz.mdhas full answers with a scoring guide. For straight recall, go there. - "Write your word track" and "build your plan" exercises are personal. There is no single right answer to your greeting or your 90-day plan, so for those this appendix gives a model approach — what a strong answer contains — rather than a key. The point of those is the artifact you produce, not matching a template.
A standing reminder, the same one the chapters carry: the Okafor and Devon Wallace figures are canonical and used exactly as established in the book; other dollar amounts are illustrative teaching figures. Rates, taxes, fees, reserve caps, and credit-tier bands vary by state, by lender, and over time — for any live deal, the contract and your finance director are the authority. Where a problem's answer "depends," this key says so, because pretending otherwise is exactly the false precision the book warns against.
Answers are organized strictly by chapter. For the eleven math-heavy chapters you get full worked solutions; for the more conceptual chapters you get concise answer guidance on one or two representative items.
Chapter 1 — How Dealerships Make Money
Answer guidance.
- "Name the profit centers, and why is the new-car sale often the loss-leader?" The four centers: new vehicles, used vehicles, F&I, and fixed ops (service & parts). Front-end gross on new cars is thin (the Okafor deal nets ~$200), so the store leans on F&I and the recurring service drive — the threshold concept that you're feeding a multi-profit-center business, not just selling cars.
- "Where does holdback fit?" A small percentage of MSRP the factory returns to the dealer after the sale — invisible to front-end gross, it's the dealer's money (not the customer's), and you never have to surrender it in negotiation (Ch 12).
Chapter 2 — Product Knowledge
Answer guidance.
- "Why is product knowledge your credibility?" Customers research 14+ hours before arriving; know less than they do and you've lost before you start. Tie it to the Ch 5 math — better knowledge raises your closing ratio, lowering the opportunities you need for the same income.
- FAB practice items should always end on a benefit to this customer, never stop at the spec.
Chapter 3 — Understanding Your Customer
Answer guidance.
- "Name the five customer types and the fear map." The five types: researcher, relationship, price, emotional, need-based. The fear map (inside-out): pay too much · be manipulated · make a five-year mistake. A strong answer matches a technique to each fear — transparency on margin soothes "pay too much," disclosure soothes "be manipulated," a thorough needs analysis soothes "the five-year mistake."
- The reusable ethics line — "would I be comfortable if this customer could hear my thoughts?" — is the gut-check that recurs through the whole book (Ch 11, 22, 23, 26, 30). Adaptation to a customer's type is service, not seduction: same skills, opposite purpose, depending on whose interest it serves.
Chapter 4 — The Digital Customer
Answer guidance.
- "Why is your online reputation 'your front door'?" The customer's first visit happens on a search-results page, not the lot — reviews, your Google profile, and response speed decide whether they ever walk in. If online leads close better than walk-ins, you need fewer opportunities for the same income (Ch 5).
Chapter 5 — Compensation & Building a Six-Figure Income
Full worked solutions for the core commission and activity-to-income items.
B1 — Mini floor. Plan: 25% of front-end gross, $150 mini. Deal front gross = $480.
Commission at rate = 25% × $480 = $120
Compare to mini = $150
$120 < $150 → pay the MINI
Earned: $150.** On this plan any deal under $600 front gross (because 25% × $600 = $150) pays the mini, not the percentage. Read: the mini is your floor on thin deals — and most new-car deals are thin.
B3 — Retroactive volume bonus and the cliff. Tiers: $100/car at 10–14 units, $200/car at 15–19, retroactive (the higher rate re-rates every car that month). Salesperson sells 15.
At 15 units → $200 tier, applied to all 15: 15 × $200 = $3,000 total volume bonus
Had they stopped at 14 ($100 tier): 14 × $100 = $1,400
Marginal value of the 15th car alone: $3,000 − $1,400 = $1,600
Total bonus $3,000; the 15th car "caused" $1,600 of it — far more than an average car's commission. Read: this is the cliff effect, and it's why a veteran doesn't go home on the 31st when they're one car short of a tier.
B4 — Goal → daily activity (the backward model). Goal $84,000/yr; $500 all-in per car; 20% close; 24 working days.
Monthly goal: $84,000 ÷ 12 = $7,000/month
Cars/month: $7,000 ÷ $500 = 14 cars
Opportunities/month: 14 ÷ 0.20 = 70 opportunities
Opportunities/day: 70 ÷ 24 ≈ 2.9 → about 3/day
About three real opportunities a day. Read: "make $84K" is a wish; "talk to three people a day" is a plan. The whole chapter lives in this conversion.
B6 — What a pack costs you. Deal front gross $1,600; store applies an $800 pack before commission; 25% plan.
No pack: 25% × $1,600 = $400
Packed: 25% × ($1,600 − $800)
= 25% × $800 = $200
Cost of the pack on this deal: $400 − $200 = $200
The pack cost $200 of commission on this one deal. Read: a pack is gross removed before your percentage is figured — the single most important number to ask about in an interview (B/C exercises).
B9 — Full sample Summit plan. 25% front + 5% back; $150 mini; retroactive tiers $100/$200/$300/$400 at 10/15/20/25 units; $500 CSI above target. Sells 22 cars at $500 avg front gross, $900 avg back gross, CSI above target.
Front: 25% × $500 = $125 < $150 mini → 22 × $150 = $3,300
Back: 5% × $900 = $45 → 22 × $45 = $990
Volume: 22 units → $300 tier → 22 × $300 = $6,600
CSI: = $500
----------------------------------------------------------------
TOTAL $11,390
Bonuses ($6,600 + $500 = $7,100) were **~62%** of income; per-deal commission ($3,300 + $990 = $4,290) was ~38%. Read: the bonus layer dominates — which is exactly why understanding the whole plan, not just the commission rate, is the highest-leverage thing in this chapter.
Model approach for the personal items (C1–C8, D1–D7, M-series): these ask you to decode your plan, build your activity model, and reason through ethics/judgment, so there's no single key. A strong C7 two-plan comparison models one realistic month under each plan with your own assumptions (units, front/back gross, CSI) and shows the arithmetic, then recommends the plan that pays the consultative seller more — almost always the one with back-end participation and a CSI bonus, since those reward the help-don't-sell model with real dollars (Theme #3).
Chapter 6 — Mindset & Resilience
Answer guidance.
- "Why is income volatility the real challenge, not rejection?" Commission income swings month to month (Ch 5's draw mechanics), and people who quit usually quit in a slow month right before the activity math would pay off. A strong "slump protocol" is a fixed daily activity floor you hit regardless of mood — because activity, not mood, produces income. The mission-statement and routine items are personal; tie the routine to the daily opportunity number from Ch 5.
Chapter 7 — Meet & Greet
Answer guidance.
- "Why is 'just looking' a defense mechanism, not a rejection?" (Threshold concept.) The customer arrives braced for pressure; "just looking" buys them space. The skill is to grant the space ("Perfect — look all you want, I'm not going anywhere"), which lowers the defense instead of fighting it. A strong answer notes the same defensive instinct reappears in the trade conversation (Ch 11) and with the scared subprime buyer (Ch 26).
Chapter 8 — Needs Analysis
Answer guidance.
- "Why is the sale won in the needs analysis, not the close?" (Threshold concept.) Right person + right car ≈ done — the "close" is then just asking "are you ready?" A strong answer shows the cost of skipping it: two hours showing a commuter the wrong truck, then watching them leave. Good needs-analysis questions are open ("walk me through a typical week with this vehicle") and surface the trade situation early (Ch 11), including whether the customer might be upside down.
Chapter 9 — Vehicle Presentation / Walk-Around
Answer guidance.
- FAB walk-around items should convert every feature to a benefit for this customer and follow a consistent physical loop. For a fleet/commercial buyer the same features get re-emphasized toward uptime, payload, and serviceability rather than comfort and style (see Ch 38, M6).
Chapter 10 — The Test Drive
Answer guidance.
- "Why plan the route and use trial closes?" The route should showcase what this customer told you matters (the on-ramp for the highway commuter, the rough street for ride quality). Trial closes ("could you see yourself in this on Monday morning?") read temperature without pressure and set up the trade bridge ("while you think it over, let me take a quick look at your trade" — Ch 11).
Chapter 11 — Trade-In Evaluation
Full worked solutions for the equity / allowance / ACV items.
B2 — Equity and over-allowance. Trade ACV $14,000; payoff $11,200; you show a $15,000 allowance.
Equity = ACV − payoff = $14,000 − $11,200 = $2,800 (positive)
Over-allowance = allowance − ACV = $15,000 − $14,000 = $1,000
Positive equity $2,800; over-allowance $1,000. That $1,000 doesn't come from nowhere — it comes out of front-end gross on the new car. Read: allowance and selling price are a seesaw; "more for your trade" is the same dollars moved to a box that feels better.
B3 — Underwater roll-in. Trade ACV $9,500; payoff $14,000; rolled into a $28,000 car.
Equity = $9,500 − $14,000 = −$4,500 (negative — $4,500 underwater)
Amount financed ≈ car + negative equity = $28,000 + $4,500 = $32,500
Negative equity $4,500; financing ~$32,500 on a $28,000 car. The one sentence you must say before they sign: "We're adding the $4,500 you still owe to the new loan, so you'll finance about thirty-two-five on a twenty-eight-thousand-dollar car and start out a little upside down — I want you to see that before you decide." Read: rolling negative equity isn't the violation; hiding it in a longer payment is.
B9 — The seesaw, proven both ways. $30,000 car; trade ACV $10,000, payoff $8,000. Show the same net two ways. Using net = price − (allowance − payoff):
Low allowance: price $30,000, allowance $10,000, payoff $8,000
equity applied = $10,000 − $8,000 = $2,000
net = $30,000 − $2,000 = $28,000
Over-allowance: raise price by the $2,000 over-allowance to hold net
price $32,000, allowance $12,000, payoff $8,000
equity applied = $12,000 − $8,000 = $4,000
net = $32,000 − $4,000 = $28,000
Both net $28,000.** The customer *feels* better about the $12,000 allowance; the total is identical, and the $2,000 over-allowance came out of the price/discount room. Read: this is why the buyer-protective advice is "negotiate the difference, not the pieces" (§11.8).
B10 — Full front-end with trade. $26,500 crossover; trade ACV $11,000, allowance $12,000, payoff $9,500.
Equity = allowance − payoff = $12,000 − $9,500 = $2,500 (positive)
Over-allowance = allowance − ACV = $12,000 − $11,000 = $1,000
Net of trade = price − allowance + payoff
= $26,500 − $12,000 + $9,500 = $24,000
*Equity $2,500; over-allowance $1,000; net of trade $24,000.** Good-news line: *"You owe $9,500 and I'm giving you $12,000 — that's $2,500 of your money coming straight off the new one. You're ahead, not underwater."
Chapter 12 — Negotiation
Full worked solutions for the front-end-gross and four-square items, using and extending the canonical Okafor figures where relevant.
C2 — Front-end gross with a trade. MSRP $41,000; selling price $39,500; dealer cost in the car $38,200. Trade: allowance $12,000, ACV $10,800, payoff $9,500.
(a) Gross in the car = selling price − dealer cost = $39,500 − $38,200 = $1,300
(b) Over-allowance = allowance − ACV = $12,000 − $10,800 = $1,200
(c) True front-end gross = gross in car − over-allow. = $1,300 − $1,200 = $100 (a mini)
(d) Equity = allowance − payoff = $12,000 − $9,500 = $2,500 (positive)
(e) Amount to finance = selling price − equity = $39,500 − $2,500 = $36,500 (pre tax/fees/F&I)
Read: a healthy-looking $1,300 in the car shrinks to $100 of real front gross once the over-allowance is netted — proof that the front end is thin and the deal will be carried by F&I (Ch 22/24).
C8 — Deal with a manufacturer rebate. MSRP $30,000; selling price $28,900; dealer cost $27,800; $1,500 manufacturer rebate; no trade.
(a) Front-end gross = $28,900 − $27,800 = $1,100
(b) Does the rebate reduce the dealer's gross? NO — it's the manufacturer's money; the factory
reimburses the dealer, so dealer gross is unchanged. It's the customer's money.
(c) Amount to finance = $28,900 − $1,500 = $27,400 (pre tax/fees/F&I)
(d) Where it shows = on its OWN visible line the customer can see — never folded into price.
The Okafor front end (canonical). Worked from the book's figures so the whole deal lives in one place: MSRP $45,000, selling price $43,500, trade allowance $18,000, ACV $16,500, payoff $15,000.
Over-allowance = allowance − ACV = $18,000 − $16,500 = $1,500
Trade equity = allowance − payoff = $18,000 − $15,000 = $3,000 (positive)
The discount from MSRP plus the $1,500 over-allowance is why the deal nets only **~$200 of front-end gross (the canonical figure) — and why the ~$1,000 financing reserve (Ch 22) plus product margin (Ch 24) is what actually makes the deal. Read: the new-car sale is the loss-leader; transparency about that thin margin is what closes more (the threshold concept).
M2 — Full front end, end to end. MSRP $36,000; selling price $34,800; dealer cost $33,600; trade allowance $9,000, ACV $8,200, payoff $7,000.
Gross in car = $34,800 − $33,600 = $1,200
Over-allowance = $9,000 − $8,200 = $800
True front-end gross = $1,200 − $800 = $400
Equity = $9,000 − $7,000 = $2,000 (positive)
Amount to finance = $34,800 − $2,000 = $32,800 (pre tax/fees/F&I)
M8 — Put it all together (with negative equity and the pay plan). MSRP $52,000; selling price $50,200; dealer cost $48,600. Trade: allowance $14,000, ACV $12,800, payoff $16,000. Pay plan: 25% of front gross, $150 mini.
(a) Gross in car = $50,200 − $48,600 = $1,600
(b) Over-allowance = $14,000 − $12,800 = $1,200
(c) True front-end gross = $1,600 − $1,200 = $400
(d) Equity = $14,000 − $16,000 = −$2,000 (NEGATIVE — owes $2,000 more than the trade)
(e) Commission = 25% × $400 = $100 < $150 mini → earn the MINI, $150
(f) Honest sentence: "Heads up — you owe about $2,000 more on your trade than it's worth right now,
which is really common. That $2,000 doesn't disappear; it has to be dealt with in the new deal,
so let me show you honestly how it affects things rather than burying it in the payment."
Read: the deal makes only $400 of true front gross and pays you the $150 mini — the back end and your volume bonus are where the income actually is, which is the whole argument for not grinding (Ch 5).
Chapter 13 — Objection Handling
Answer guidance.
- "An objection is a request for information, not a 'no.'" (Threshold concept.) "I need to think about it" almost always means one unvoiced concern (the Hendersons). The skill is surfacing it without pressure: "Totally fair — when folks say that, there's usually one thing still sitting funny. If you had to name it, what is it?" A strong answer never argues the objection; it isolates, acknowledges, and answers the real question underneath.
Chapter 14 — Closing
Answer guidance.
- "Why do 'the best closers barely close'?" If the needs analysis (Ch 8) and transparency (Ch 12) did their job, the close is just confirming a decision the customer already made. A strong answer reconciles this with the fact that closing is still a taught skill: trial closes throughout the process, and a calm assumptive ask at the end, are what make the final step feel like a formality rather than a fight.
Chapter 15 — Delivery
Answer guidance.
- "Why is the delivery the start of the next sale?" The Nguyen-family delivery (phone paired, nav set to home, mirrors/seats, family-safety walkthrough, photo, handwritten note that night) generated five referrals over the next year — more total gross than the original deal. A strong delivery checklist is concrete and customer-specific, and treats the handoff as the first act of follow-up (Ch 16), not the last act of the sale.
Chapter 16 — Follow-Up & Referrals
Answer guidance.
- "Why is follow-up 'the business'?" (Threshold concept.) Selling is a transaction; following up turns it into a relationship that pays for years — the CRM is your most valuable asset. A strong cadence is specific (e.g., thank-you note that night → call at 3 days → check-in at 30/90 days → service and equity touches thereafter), and ties the referral math to income: a happy customer who sends three buyers a year is worth more than any single grind.
Chapter 17 — Prospecting
Answer guidance.
- "Why prospect when there's floor traffic?" Floor traffic is finite and shared; your sphere of influence, your past customers (the "equity mine"), and orphan/be-back follow-up are traffic you control. A strong plan lists named sources and a weekly activity number, mirroring the activity-to-income discipline from Ch 5.
Chapter 18 — The Used-Vehicle Business
Answer guidance.
- "Why is 'you make your money on the buy'?" Because the retail ceiling is set by the live market (Ch 19), so the only price you fully control is the acquisition price. A strong answer ties this to the four sourcing channels (trades, auction, off-lease, street purchase) and notes that disciplined buying serves the retail customer too — selection, competitive prices, and a dealer healthy enough to honor what it sells.
Chapter 19 — Appraising & Pricing Used Inventory
Full worked solutions for days'-supply, turn, market-%, holding-cost, and real-gross items.
B1 — Price-to-market. Car priced $19,400; market average $20,000.
Price-to-market = (price ÷ market) × 100 = ($19,400 ÷ $20,000) × 100 = 97.0%
97% to market — squarely in the typical visible band (~95–99%), so price-sorting shoppers will see it. No urgent change. Read: your price is your front door; 97% already gets the car onto the screen.
B2 — Days' supply. 150 cars on the ground; 60 sold in the last 30 days.
Days' supply = (inventory ÷ units sold in period) × days in period
= (150 ÷ 60) × 30 = 2.5 × 30 = 75 days
75 days' supply — above the 45–60 target. Read: too much inventory for the sales pace; slow the buying and put aging units on an aggressive plan before the 60-day wall.
B3 — Turn. Sells 900/yr on a 120-car average inventory.
Annual turn = units sold per year ÷ average inventory = 900 ÷ 120 = 7.5 turns
Competitor: 480 ÷ 120 = 4.0 turns
Same inventory dollars, same gross/car: 7.5 ÷ 4.0 = 1.875 → ~1.9× the annual gross
7.5 turns vs. 4.0 — nearly double the income on the identical money tied up, purely from velocity.
B4 — Holding cost over time. $25,000 truck; floor plan 8%/yr; depreciation ~2.5%/month; ~$4/day overhead.
Floor plan = $25,000 × 8% ÷ 365 ≈ $5.48/day
Depreciation = $25,000 × 2.5% ÷ 30 ≈ $20.83/day
Overhead = $4.00/day
----------------------------------------------------
Total ≈ $30.31/day (≈ $30)
Day 30 ≈ $910 Day 60 ≈ $1,820
Read: depreciation ($20.83) dwarfs floor-plan interest ($5.48) — the "hidden killer" is the biggest line, and it's the one slow operators ignore.
B5 — Max bid at auction. Reconditioned comps retail $23,000; recon $1,500; fees/transport $500; target gross $2,000.
Max bid = retail − recon − fees − target gross
= $23,000 − $1,500 − $500 − $2,000 = $19,000
At $19,500 the bidding is **$500 past your max — you don't bid. Read: the market caps retail, not your cost, so every dollar overpaid comes straight out of gross. There's always another car.
B6 — Headline spread vs. real gross. Sold $21,000; bought $15,800; fees/transport $550; recon $1,300; sold day 45 at ~$25/day holding.
Headline spread = $21,000 − $15,800 = $5,200
Real gross = $21,000 − $15,800 − $550 − $1,300 − (45 × $25 = $1,125) = $2,225
Headline $5,200, real gross $2,225 (~43% of the headline). Read: spread ≠ gross — a new salesperson sees $5,200 and overestimates the deal.
Chapter 20 — Selling Used
Answer guidance.
- "How do you sell a car with a story (an accident on the history report)?" Honestly and early. State the small effect plainly, use the rest of the report (clean title, service records) to keep the number fair, and never use a minor blemish as a fake lever to lowball. A strong CPO answer distinguishes manufacturer-backed certified coverage from a sold service contract (Ch 24) and never blurs the two.
Chapter 21 — Independent Dealerships
Answer guidance.
- "At an independent, what's the difference vs. a franchise for a 580 customer?" A franchise routes a subprime buyer to a third-party lender (Ch 26), and the loan reports to the bureaus, so an on-time history can rebuild credit. Many buy-here-pay-here (BHPH) independents finance in-house and may not report — convenient, but it can fail to build credit and often costs more. A strong answer weighs convenience/approval against credit-building and total cost.
Chapter 22 — How Auto Financing Works
Full worked solutions for the payment formula and reserve items. The payment formula (used throughout):
P · r · (1 + r)^n
M = --------------------- r = APR ÷ 12 (decimal), n = term in months, P = amount financed
(1 + r)^n − 1
B2 — Payment, step by step. $28,000 at 7.5% APR, 60 months.
r = 0.075 ÷ 12 = 0.00625
n = 60
(1.00625)^60 ≈ 1.452957
M = [28,000 × 0.00625 × 1.452957] ÷ [1.452957 − 1]
= 254.27 ÷ 0.452957 ≈ $561.34/month
Total of payments = $561.34 × 60 = $33,680.40
Total interest = $33,680.40 − $28,000 = $5,680.40
$561.34/month; $5,680.40 total interest.
B3 — Stretching the term. Same $28,000 at 7.5%, at 72 and 84 months.
72 mo: (1.00625)^72 ≈ 1.565681
M ≈ [28,000 × 0.00625 × 1.565681] ÷ 0.565681 ≈ $484.39/mo
total interest ≈ $6,876 (~$1,196 more than 60 mo)
84 mo: (1.00625)^84 ≈ 1.687199
M ≈ [28,000 × 0.00625 × 1.687199] ÷ 0.687199 ≈ $429.55/mo
total interest ≈ $8,082 (~$2,402 more than 60 mo)
Read: each added year drops the payment ~$50–55/mo but adds ~$1,200 in interest — the honest way to present term is the trade-off, not just the lower number.
B7 — The Okafor reserve (canonical). Amount financed $41,030; captive buy rate 6.9%; store marks up 1 point to sell rate 7.9%; 72 months.
Buy 6.9%: r = 0.00575, (1.00575)^72 ≈ 1.511064 → M ≈ $697.55
Sell 7.9%: r = 0.0065833, (1.0065833)^72 ≈ 1.602637 → M ≈ $717.39
Markup cost = $717.39 − $697.55 = $19.83/month
× 72 ≈ $1,428 over the life → ~$1,000 dealer reserve (paid up front by the lender)
Read: the dealer is a broker, not the lender; dealer reserve is the spread between buy and sell rate (the threshold concept). On the Okafor deal this ~$1,000 back-end reserve dwarfs the ~$200 front-end gross.
B8 — Negative equity rolled in. $4,000 negative equity; $32,000 car; $0 down (ignore tax/fees).
Amount financed ≈ car + negative equity = $32,000 + $4,000 = $36,000
The required sentence names the roll, the bigger amount financed, and that they start out upside down. Read: same rule as Ch 11 — the roll isn't the violation; hiding it is.
C3 — Build the amount financed, then the payment. $26,500 used SUV; $3,000 down; trade worth $9,000 with $6,500 payoff; 7% sales tax with trade tax credit; $500 doc; $350 title/reg; 9.4% sell rate, 66 months.
(a) Net trade equity = $9,000 − $6,500 = $2,500 (positive)
(b) Taxable amount = price − trade allowance = $26,500 − $9,000 = $17,500
Sales tax = 7% × $17,500 = $1,225
Amount financed = $26,500 − $3,000 down − $2,500 equity + $1,225 tax + $850 fees ($500+$350)
= $23,075
(c) r = 0.094 ÷ 12 ≈ 0.0078333, n = 66, (1.0078333)^66 ≈ 1.674
M ≈ [23,075 × 0.0078333 × 1.674] ÷ 0.674 ≈ $449/month
Amount financed $23,075; payment ≈ $449/month (±$1 for rounding). Read: the trade tax credit — tax on price minus allowance — is real money the customer saves; it's one reason a trade can beat a private sale.
C7 — Cost of the markup (near-prime). $33,500 financed, 75 months; buy rate 8.9%, 2-point cap.
Buy 8.9%: M ≈ $583.97
+1 pt (9.9%): M ≈ $600.84
+2 pts (10.9%): M ≈ $617.90
1-pt → 2-pt costs the customer ≈ $617.90 − $600.84 = $17.06/mo (~$1,280 over the life)
Buy → 2-pt costs ≈ $33.94/mo (~$2,545 over the life)
Read: on a long near-prime loan, the "they won't notice" extra point is ~$1,280 of real money — the kind of packing the chapter's ⚠️ guardrail is about.
Chapter 23 — Leasing
Full worked solutions for the lease-payment, money-factor, and equity items. The two-part lease payment:
Depreciation charge = (adjusted cap cost − residual) ÷ term
Rent charge = (adjusted cap cost + residual) × money factor
Pre-tax payment = depreciation charge + rent charge
Money factor → APR ≈ money factor × 2400
A4 — Money factor to APR. Rule: multiply by 2400.
0.00100 × 2400 = 2.4% APR
0.00125 × 2400 = 3.0% APR
0.00250 × 2400 = 6.0% APR
0.00375 × 2400 = 9.0% APR
C1 — Full lease, every line. MSRP $38,000; selling price $35,200; acquisition fee $795 (capitalized); cap-cost reduction $0; residual 55% of MSRP; money factor 0.00150; 36 months; 7% tax on the payment.
Gross/adjusted cap cost = $35,200 + $795 = $35,995 (no reduction)
Residual = 0.55 × $38,000 = $20,900
Depreciation = ($35,995 − $20,900) ÷ 36 = $15,095 ÷ 36 = $419.31
Rent = ($35,995 + $20,900) × 0.00150 = $56,895 × 0.00150 = $85.34
Pre-tax payment = $419.31 + $85.34 = $504.65
Tax = $504.65 × 0.07 = $35.33
Monthly payment = $539.98
Money factor 0.00150 × 2400 ≈ 3.6% APR
Read: residual is a percentage of MSRP, not the negotiated price — so you can negotiate the cap cost down and still keep the residual high, which is the customer's friend.
C2 — Same lease with money down. Add a $2,500 cap-cost reduction to C1.
Adjusted cap cost = $35,995 − $2,500 = $33,495
Depreciation = ($33,495 − $20,900) ÷ 36 = $12,595 ÷ 36 = $349.86
Rent = ($33,495 + $20,900) × 0.00150 = $54,395 × 0.00150 = $81.59
Pre-tax payment = $431.45
Drop vs. C1 = $504.65 − $431.45 = $73.20/month (× 36 = $2,635 in payment savings for $2,500 down)
Read: the payment dropped, but the $2,500 is now prepaid depreciation — largely unrecoverable if the car is totaled early. Better levers than cash down: negotiate the cap cost, fewer miles only if realistic, and the buy money factor.
B6 — Money-factor markup (lease reserve). Buy money factor 0.00110; sell 0.00160; cap cost $33,000; residual $19,000; 36 months.
Markup = 0.00160 − 0.00110 = 0.00050
Extra rent/month = (cap + residual) × markup = ($33,000 + $19,000) × 0.00050 = $52,000 × 0.00050 = $26.00
Over 36 months = $26.00 × 36 = $936 of dealer reserve
In APR terms ≈ 0.00050 × 2400 = 1.2% of rate
Read: the money-factor markup is the lease analog of dealer reserve (Ch 22). Disclosed and reasonable — defensible. Maxed and hidden on a customer who'd qualify for the buy rate — that's how you lose them.
C7 — Full "due at signing." Adjusted cap cost $33,000 (already excludes the fee); residual $20,000; money factor 0.00130; 36 months; 6% tax on payment. At signing: first payment + $695 acquisition + $500 refundable security deposit + $300 title/reg.
Depreciation = ($33,000 − $20,000) ÷ 36 = $13,000 ÷ 36 = $361.11
Rent = ($33,000 + $20,000) × 0.00130 = $53,000 × 0.00130 = $68.90
Pre-tax payment = $361.11 + $68.90 = $430.01
Tax = $430.01 × 0.06 = $25.80
(a) Monthly payment = $455.81
(b) Due at signing = $455.81 + $695 + $500 + $300 = $1,950.81
Read: due-at-signing is the number a buyer should scrutinize most — a bigger one makes the monthly look artificially low, and (unlike the refundable deposit) most of it is gone.
B5 — Lease-end equity. Contract residual $20,500; market value $23,800.
Lease-end equity = market value − residual = $23,800 − $20,500 = $3,300 (positive)
Capture it by buying at the $20,500 residual and selling/keeping, trading it toward the next vehicle and applying the ~$3,300, or selling the buyout to a third party (if the lender allows). Read: a lease that pays for depreciation can still leave equity when the market beats the predicted residual — always check 75 days before lease-end.
Chapter 24 — F&I Products
Full worked solutions for the product-margin and GAP items, using the canonical Okafor figures.
B6 — Dealer gross and margin on the Okafor products. ESC (extended service contract) $2,200, dealer cost $800; GAP $900, dealer cost $300.
(a) ESC: gross = $2,200 − $800 = $1,400
margin = $1,400 ÷ $2,200 ≈ 64%
(b) GAP: gross = $900 − $300 = $600
margin = $600 ÷ $900 ≈ 67%
ESC $1,400 gross (~64%); GAP $600 gross (~67%). Read: these are high-margin products, which is exactly why the ethical bar is higher, not lower — disclose the price, the coverage, and that the customer can shop or decline.
Total back end on the Okafor deal (ties Ch 22 + Ch 24). Pulling the canonical pieces together:
Dealer reserve (Ch 22) ≈ $1,000
ESC margin = $1,400
GAP margin = $600
----------------------------------------
Total back-end gross = $3,000
Front-end gross (Ch 12) ≈ $200
Back end ($3,000) is ~15× the front end ($200). Read: this single deal is the book's whole thesis in miniature — the new-car sale is the loss-leader; F&I carries it; doing F&I ethically (kept gross, no chargebacks) is therefore a financial concern, not only a moral one.
B2 — GAP fit (underwater, long term). $1,500 down on a $28,000 car, $2,500 negative equity rolled in, 75 months. Are they underwater early? Yes — they finance ~$30,500+ on a $28,000 car and a long term pays principal down slowly while the car depreciates fast, so the loan balance exceeds the car's value for much of the early term. GAP is a strong, honest fit — if the car is totaled, GAP covers the difference between the insurance payout and the loan balance.
B3 — GAP fit (large down, holds value, short term). $9,000 down (~30%) on a $30,000 truck that holds value, 36 months. The big down and short term mean the loan balance stays below the truck's value almost immediately, so the "gap" is small to nonexistent. GAP is a weak fit; the honest move is to say so — "with 30% down on a truck that holds value, you're not likely to be upside down, so I wouldn't push this on you."
Chapter 25 — F&I Process & Compliance
Answer guidance.
- "What's in the deal jacket, and which law governs which document?" A strong answer maps the major federal laws (Tier 1) to function: TILA / Regulation Z → the loan-cost disclosures (APR, finance charge, amount financed, total of payments — the "TILA box"); ECOA → no discrimination in credit and the adverse-action notice; FCRA → permissible-purpose credit pulls and risk-based-pricing / adverse-action notices; GLBA → safeguarding the customer's nonpublic personal information; the FTC CARS Rule → add-on disclosures and a ban on bogus/undisclosed fees. A strong answer hedges that specifics vary by state and change over time, and points to the regulator (CFPB, FTC) for current rules.
Chapter 26 — Subprime & Special Finance
Full worked solutions for the PTI, LTV, and Devon Wallace items. Two ratios drive every subprime structure:
PTI (payment-to-income) = monthly payment ÷ gross monthly income
LTV (loan-to-value) = amount financed ÷ vehicle wholesale (book) value
B1 — Maximum payment from PTI. Customer grosses $3,200/month; lender caps PTI at 16%.
Max payment = income × PTI cap = $3,200 × 0.16 = $512/month
$512/month maximum.** And check it *with* insurance — if full coverage is $200/mo, the total transportation burden is already ~22% of income. Read: a lender's approval of a payment is not proof the customer can comfortably live with it; that judgment is yours.
B2 — LTV cap and required down. Car books (wholesale) $14,000; LTV cap 125%; selling price $14,500; tax + fees $1,900.
Max financed (LTV) = book × LTV cap = $14,000 × 1.25 = $17,500
Total before down = $14,500 + $1,900 = $16,400
$16,400 ÷ $14,000 = 117% → already under the 125% cap, even at $0 down
LTV isn't the binding constraint here — the deal fits at $0 down on LTV alone, so PTI/payment would be the constraint that bites. Read: always check both caps; which one binds varies by deal.
C2 — Full subprime deal, both caps. Customer grosses $2,900/month; sedan priced $12,500, books $10,800; 6% tax + $1,000 fees; lender caps PTI 17% and LTV 120%; sell rate 17.9% APR; $2,000 down; 60 months.
(a) Tax = 6% × $12,500 = $750
Amount financed = $12,500 + $750 + $1,000 − $2,000 down = $12,250
(b) r = 0.179 ÷ 12 = 0.0149167, n = 60
M ≈ $310/month
(c) PTI = $310 ÷ $2,900 = 10.7% ✅ (well under 17%)
LTV = $12,250 ÷ $10,800 = 113% ✅ (under 120%)
Financed $12,250; payment ≈ $310; PTI 10.7%; LTV 113% — fits both caps with room. Read: this is what a sound subprime structure looks like — a sensible car, real money down, a payment that breathes.
Devon Wallace — the canonical ethical deal. From the chapter: Devon finances $13,335 at 18.9% over 60 months ≈ $345/month. Worked against the deal economics in §26.8:
Ethical deal total of payments ≈ $345 × 60 ≈ $20,711
Predatory alternative (per §26.8) ≈ $40,851 (longer term, higher rate, packed products, more financed)
The predatory deal's total of payments (~$40,851) is nearly double the ethical deal's (~$20,711) — same idea of "just a car payment," roughly twice the money out of a customer who can least afford it. Read: in subprime, the ethical structure and the profitable structure are the same structure — a well-structured loan funds cleanly, doesn't bounce back as a chargeback or a repo, and rebuilds the customer's credit (on-time payment history is the single biggest factor in a score).
M1 — Reserve on Devon's deal (ties Ch 22). Sell rate 18.9% on a 17.9% buy rate.
Reserve in rate terms = sell − buy = 18.9% − 17.9% = 1.0 point
Most of Devon's rate is the buy rate the lender set for real risk — so "the dealer made his rate too high" misreads the broker model: the dealer added one disclosed point, not 18.9. Read: the rate reflects risk the lender is pricing, not dealer greed — and the honest conversation neither lies ("I'll get you a great rate") nor crushes ("your credit is terrible").
Chapter 27 — Digital Retailing
Answer guidance.
- "What makes an online-to-in-store handoff smooth?" Continuity: the numbers, vehicle, and answers a customer saw online should carry into the store without a "let's start over." A strong answer names speed-to-lead (Ch 29) and a warm, named handoff as the two highest-leverage moves.
Chapter 28 — The Electric-Vehicle Transition
Answer guidance.
- "How do you talk about EV range, charging, and TCO honestly?" Match the vehicle to the customer's real driving (a strong answer asks about daily miles, home charging, and longest regular trips before recommending), is candid about charging logistics and incentives that vary by location and change over time, and frames total cost of ownership (fuel/electricity, maintenance, incentives) rather than sticker alone — the same TCO logic as fleet (Ch 38).
Chapter 29 — BDC & Internet Sales
Answer guidance.
- "Why does speed-to-lead matter so much?" The first dealer to respond well usually wins the appointment; minutes matter. A strong answer's phone/email/text templates are short, specific, and end with a clear ask for an appointment time — and respect anti-spam / TCPA guardrails on contact.
Chapter 30 — Ethics in Car Sales
Answer guidance.
- "Why is 'ethics is the profitable long game' math, not just morality?" (Threshold concept.) Repeat and referral business from happy customers (the Nguyen five referrals; Carmen's book) out-earns grinding strangers — less stress, more income, more sustainable. A strong personal ethics code names concrete lines you won't cross (no packing, no fantasy rate quotes, no hiding negative equity) and uses the gut-check — "would I be comfortable if this customer could hear my thoughts?" — as the decision rule.
Chapter 31 — Consumer-Protection Law
Answer guidance.
- "Name the major federal laws a salesperson must respect, and what each does." A strong answer (Tier 1) lists, in plain English: TILA (loan-cost disclosure), ECOA (no credit discrimination), FCRA (credit-report use and adverse-action notices), GLBA (data privacy), the FTC Used Car Rule (the Buyers Guide window sticker), the FTC CARS Rule (add-on/fee disclosures), and Magnuson-Moss (warranty basics). It explicitly notes that state law adds more and varies, and that laws change — so it points to the FTC and CFPB for current specifics rather than inventing statute sections.
Chapter 32 — Professionalism
Answer guidance.
- "Why is your personal brand an asset?" In a low-trust profession, the salesperson customers seek out by name has escaped commodity competition. A strong reputation/referral plan is specific: consistent follow-up, asking happy customers for reviews and referrals, and a presence (online and in the community) that makes you findable — tying back to Ch 4 and Ch 16.
Chapter 33 — Sales Management
Answer guidance.
- "What is the desk actually doing when you 'take a deal to the manager'?" Structuring the deal across front- and back-end gross, checking it against lender programs and inventory needs, and coaching the floor — not theatrically "finding more money." A strong answer can structure a simple deal showing both front and back gross (use the Okafor numbers: ~$200 front, ~$3,000 back) and explain why a thin front is normal.
Chapter 34 — Inventory Management
Full worked solutions for the days'-supply, turn, holding-cost, and real-gross items (same toolkit as Ch 19, applied at the portfolio level).
B1 — Days' supply. 96 cars on the ground; 64 sold in the last 30 days.
Days' supply = (96 ÷ 64) × 30 = 1.5 × 30 = 45 days
45 days — right at the low edge of the 45–60 sweet spot (slightly thin; could carefully add a little selection).
B2 — Turn and days-to-sell. Sells 840/yr on a 120-car average.
Turn = 840 ÷ 120 = 7 turns/year
Avg days-to-sell ≈ 365 ÷ 7 ≈ 52 days (healthy)
B4 — Holding cost burned, live gross left. $24,000 car; ~$28/day; on the lot 65 days; intended gross $2,100.
(a) Holding burned = 65 × $28 = $1,820
(b) Live gross left = $2,100 − $1,820 ≈ $280 (and shrinking $28/day)
(c) Past the 60-day wall with almost no gross left → act now (price below market, wholesale out, or
dealer trade); waiting turns thin gross into a loss.
B9 — Turn vs. gross (the velocity argument). Manager A: $2,400 front gross/car, 5 turns. Manager B: $1,600/car, 9 turns. Both carry 100 cars.
Manager A: 5 × 100 = ~500 cars/yr × $2,400 ≈ $1.20M annual front gross
Manager B: 9 × 100 = ~900 cars/yr × $1,600 ≈ $1.44M annual front gross
Manager B makes ~$240K more total gross** despite an $800-lower average per car — velocity multiplies a smaller gross into a bigger total (and faster turn earns more new-car allocation). Read: speed beats grinding; total gross = gross/car × velocity, and velocity is the bigger lever.
C3 — Real gross, two timelines. Bought $19,000; fees/transport $650; recon $1,300; ~$28/day holding; retail $23,500.
Day 30: holding = 30 × $28 = $840
Real gross = $23,500 − $19,000 − $650 − $1,300 − $840 = $1,710
Day 75: holding = 75 × $28 = $2,100
Real gross = $23,500 − $19,000 − $650 − $1,300 − $2,100 = $450
Same car, same selling price — 45 extra days cut real gross by ~$1,260 (about 74%). Read: time is the silent killer; speed is the gross.
B10 — Time-to-line. Car X listed 3 days after acquisition, sells 17 days after listing. Car Y takes 12 days to recon/list, sells 17 days after listing. ~$27/day.
Car X: (3 + 17) × $27 = 20 × $27 = $540
Car Y: (12 + 17) × $27 = 29 × $27 = $783
Difference: $243 more for Car Y — same "17 days on the market"
Read: the aging clock starts at acquisition, not listing — slow recon ages a car before it's ever for sale. Track time-to-line.
Chapter 35 — Dealership Operations
Answer guidance.
- "Why is fixed ops 'the keel'?" Service and parts produce recurring revenue that steadies a store whose car sales are transactional and cyclical. A strong answer connects this to absorption (Ch 37): the deeper the keel, the more of the store's bills fixed ops covers, and the better the store survives a slow sales month.
Chapter 36 — The Service Drive
Answer guidance.
- "Why is the service drive a sales pipeline?" Every customer in for service is a known, in-equity, brand-loyal prospect who's already on your lot. A strong "service-drive conquest" approach is low-pressure (an equity check and a "did you know your car's worth $X and a new one could be a similar payment?"), and it leans on the data the store already has rather than cold pressure.
Chapter 37 — Reading the Dealership Financial Statement
Full worked solutions for the PVR, absorption, and net-to-gross items. Core formulas:
Gross profit (a department) = revenue − cost of sales
Net profit (the store) = total gross − operating expenses (± factory additions/adjustments)
PVR (per vehicle retailed) = gross ÷ units (front PVR, back PVR, or total PVR)
Absorption rate = fixed-ops gross (service + parts) ÷ total operating expenses
Net-to-gross = net profit ÷ total gross
B1 — New-vehicle gross and per-unit. 160 units; revenue $5,600,000; cost $5,360,000.
(a) Front-end gross = $5,600,000 − $5,360,000 = $240,000
(b) Per unit = $240,000 ÷ 160 = $1,500
B3 — Back-end PVR. F&I gross $432,000 on 288 deals.
Back PVR = $432,000 ÷ 288 = $1,500
B4 — Absorption. Fixed-ops gross $680,000; total operating expenses $1,700,000.
Absorption = $680,000 ÷ $1,700,000 = 0.40 = 40%
40% — fixed ops covers 40% of everything it costs to run the store; the store still leans heavily on car sales to pay its bills.
B5 — Net-to-gross. Total gross $1,800,000; net $360,000.
Net-to-gross = $360,000 ÷ $1,800,000 = 20%
20% — lower than Summit's 25%; the store keeps 20 cents of every gross dollar.
B10 — The Okafor deal on the statement (canonical, ties the whole back end).
(a) Back-end gross = reserve $1,000 + ESC margin $1,400 + GAP margin $600 = $3,000
(b) Front $200 vs. back $3,000 → back is bigger by $2,800 (the back end is 15× the front)
(c) The back-end gross rides the F&I income line.
Read: one deal, in miniature — the new-vehicle line barely moves; the F&I line carries it.
B11 — Per-salesperson PVR. 20 cars; total front gross $9,000; total F&I gross (their customers) $22,000.
Front PVR = $9,000 ÷ 20 = $450
Back PVR = $22,000 ÷ 20 = $1,100
Total PVR = $450 + $1,100 = $1,550
Total gross contribution = $1,550 × 20 = $31,000
A "Carmen" profile — low front, high back, strong total. Read: PVR × units is the salesperson's true contribution to the statement; the consultative seller wins on the back PVR and CSI, not the front.
C7 — Month-over-month detective work. Gross roughly flat ($1.90M → $1.92M); the only moving expense is floor-plan interest ($80K → $145K).
Month 1 expenses = $80,000 + $115,000 + $880,000 + $400,000 = $1,475,000
Operating profit = $1,900,000 − $1,475,000 = $425,000
Net = $425,000 + $100,000 additions = $525,000
Month 2 expenses = $145,000 + $115,000 + $885,000 + $400,000 = $1,545,000
Operating profit = $1,920,000 − $1,545,000 = $375,000
Net = $375,000 + $100,000 = $475,000
Net fell $50,000 ($525K → $475K) even though gross rose slightly.
Almost the entire swing is the floor-plan interest line (+$65,000). Gross flat + floor-plan spiking = aging inventory (Ch 34): cars sitting too long, racking up interest. Read: a GM who watched only gross would miss this — it's a defense problem, not an offense problem.
Chapter 38 — Fleet & Commercial Sales
Full worked solutions for the fleet TCO and cycle items. The TCO formula (§38.5):
TCO = acquisition + fuel + maintenance/repair + downtime cost − resale value
(Resale is subtracted because it's money the operator gets back at the end.)
B3 — Replacement cycle to annual volume. 40-vehicle fleet on a 4-year cycle.
Vehicles/year ≈ 40 ÷ 4 = 10 per year
Over a realistic 6-year relationship that's ~60 units from a single account — versus a strong retail customer who might buy 1–2 vehicles in that span. Read: the account is an annuity, not a deal; manage it for the long term and time outreach before each replacement wave.
C1 — Full fleet TCO comparison. Four cargo vans, kept 5 years, 25,000 mi/yr each (125,000 mi per van). Fuel $3.75/gal; downtime $350/day.
- Van A: purchase $38,000; 19 mpg; maintenance $8,000; downtime 4 days/yr; resale $10,000.
- Van B: purchase $40,000; 23 mpg; maintenance $6,500; downtime 2 days/yr; resale $13,000.
FUEL (125,000 mi):
Van A: 125,000 ÷ 19 = 6,579 gal × $3.75 = $24,671
Van B: 125,000 ÷ 23 = 5,435 gal × $3.75 = $20,381
DOWNTIME (5 yrs):
Van A: 4 × 5 = 20 days × $350 = $7,000
Van B: 2 × 5 = 10 days × $350 = $3,500
5-YEAR TCO PER VAN:
Van A Van B
Acquisition $38,000 $40,000
Fuel +$24,671 +$20,381
Maintenance +$8,000 +$6,500
Downtime +$7,000 +$3,500
Resale −$10,000 −$13,000
---------------------------------------
TCO per van $67,671 $57,381
Per-van advantage of B: $67,671 − $57,381 = $10,290
Across 4 vans: $10,290 × 4 = $41,160
Van B wins by ~$41,160 across the fleet despite costing $2,000 more each to buy. Read: this is the single most persuasive tool you have with a business buyer — put the table in front of them, name fuel/maintenance/downtime/resale plainly, and invite them to check it against their own data (collaborative, not adversarial).
C7 — Build the whole quote (illustrative numbers). Four HVAC service trucks: half-ton, base trim, each with service body + ladder rack + 1,500-watt inverter.
PER TRUCK (4 identical)
Base half-ton work truck, fleet-priced $34,000
Service body + ladder rack + 1,500W inverter + $8,200 (via upfitter)
Manufacturer commercial allowance − $750
Doc + title/reg (simplified) + $1,000
------------------------------------------------------------
Per-truck delivered (approx.) $42,450
FOUR TRUCKS: 4 × $42,450 = $169,800
Honest timeline note: the chassis are available now, but the upfitter is quoting ~4–6 weeks to build and mount the service bodies — confirm the firm date in writing, and stage trucks as they're finished if the customer needs some sooner. Read: front-end gross per truck is thin by design — the prize is the account, not the deal.
End of Appendix I. For the formulas behind every calculation above, see
Appendix A — Deal & Payment Math Reference. For full per-question
answers, open the <details> blocks in each chapter's exercises.md and the answer keys in each
quiz.md.