Need help validating these numbers and understanding the buy vs lease then buy-out differences. Based on prior reading it seems the consensus is that lease then buy-out would be hugely more expensive than cash purchase up front. However, when i intput this into Chat GPT the difference is <$10,000.... That doesn't seem like a high price to pay to hedge against new tech, problems with the Gravity software, or Lucid's probability of surviving (which I'm not particularly concerned about...). Is chat GPT incorrectly assuming a lower residual value? Can't the residual value be explicitly calculated?
1. Breaking down the lease math
Your inputs:
- Cap cost (vehicle price): $125,400
- Order deposit: $1,000
- Fees: $1,291 + $995 = $2,286
- Rebate: $7,500
- Down payment: $0
- Lease term: 36 months
- Monthly payment: $1,989.27
- Due at delivery: $2,983.40
From this we can estimate:
Adjusted Cap Cost = Vehicle Price + Fees – Rebates – Deposit
= $125,400 + $2,286 – $7,500 – $1,000
≈
$119,186
This is roughly the “amount financed” by the lease before residual.
2. Residual value estimate
You weren’t given the residual directly, but we can back-calculate it:
The lease payment is basically:
Payment=Depreciation charge+Finance charge\text{Payment} = \text{Depreciation charge} + \text{Finance charge}Payment=Depreciation charge+Finance charge
Where:
- Depreciation charge = (Cap cost – Residual) ÷ Term
- Finance charge = (Cap cost + Residual) × Money Factor
We know:
- Payment = $1,989.27
- Term = 36 months
- Cap = ~$119,186
High-end luxury cars often have residuals in the
45–55% range at 36 months.
If we assume
50% residual, residual = $125,400 × 0.50 ≈ $62,700.
Plugging this in:
Depreciation charge ≈ (119,186 – 62,700)/36 ≈ $1,566/month
That leaves $1,989 – $1,566 = $423/month as the finance charge.
Finance charge = (Cap + Residual) × MF
(119,186 + 62,700) × MF ≈ $181,886 × MF
So MF ≈ $423 / 181,886 ≈ 0.00233
Money Factor × 2400 ≈ APR
0.00233 × 2400 ≈
5.6% APR
This is the “interest rate” you’re effectively paying on the lease portion.
3. Total cost of lease over 36 months
Monthly: $1,989.27 × 36 = $71,613.72
Due at delivery (likely first payment + fees): $2,983.40
Total cash outlay for lease period ≈ $71,614 + $2,983 =
$74,597
At lease end, if you want to buy the car, you’ll pay the
residual value (likely around $62,700 + taxes/fees).
Total if you lease then buy:
- Lease outlay ≈ $74,600
- Residual buyout ≈ $62,700
- Total ≈ $137,300 + taxes on the buyout
4. Compare to buying outright
If you just pay cash:
- $125,400 + $2,286 fees ≈ $127,686 upfront
(less any financing costs because you’re paying cash)
Compared to lease-then-buy at ≈ $137k, you’re paying about
$9,000 more over 3 years for the privilege of leasing first (plus whatever tax structure applies in your state).
5. Summary Table
| Scenario | Upfront | Monthly | Term Cost | Residual/Balloon | Total Paid |
|---|
| Lease only (36 mo) | $2,983 | $1,989 | $74,600 | Return car | $74,600 |
| Lease + buyout | $2,983 | $1,989 | $74,600 | $62,700 | $137,300 |
| Cash purchase | ~$127,700 upfront | $0 | $0 | You own car | $127,700 |
Implicit APR on lease: ~5.5–6%
Residual (estimated): ~$62,700 (≈50%)
Here is another set run with assumption of 55% residual value I saw assumed in another thread. Still only $16k cost for the hedge. Higher but not absurd.
Key Numbers
- MSRP: $125,400
- Fees: $2,286
- Adjusted Cap Cost: ~$119,186
- Residual Value (55%): $68,970
- Monthly Lease Payment: $1,989.27
- Upfront at Delivery: $2,983
Total Costs
| Scenario | Upfront | Monthly | Term Cost | Residual/Balloon | Total Paid |
|---|
| Lease only (36 mo, return car) | $2,983 | $1,989 | $71,613 | Return car | $74,597 |
| Lease + buyout | $2,983 | $1,989 | $71,613 | $68,970 buyout | $143,567 |
| Cash purchase | $127,686 upfront | $0 | $0 | You own car | $127,686 |
Interpretation
- Residual value: $68,970 (55% of MSRP).
- Total lease outlay (return car): $74.6k over 3 years.
- Lease + buyout: $143.6k total (≈$15.9k more than paying cash up front).
- Cash purchase: $127.7k up front; you own it from day one.