Land Loan Worked Examples: Five Deals Computed Line by Line
Five fully computed land loan scenarios: raw acreage, an improved lot, recreational land, a balloon balance, and a rate comparison, all shown step by step.
Land financing is full of numbers that sound plausible until someone actually computes them. This post computes five realistic 2025-26 land deals in full, starting from the down payment and finishing at total interest, using the standard formula M = P x r x (1+r)^n / ((1+r)^n - 1). The scenarios cover a raw ten-acre purchase at 30 percent down, a build-ready lot at 20 percent, a small recreational tract, the balloon balance on a five-year call, and a rate-sensitivity comparison. Every intermediate figure is shown, and each can be reproduced on the land loan calculator at /land-loan-calculator.html by entering the same inputs. If you are evaluating a parcel right now, find the scenario that resembles yours and run the same three rows with your own numbers.
CHAPTER 01Down Payment First, Formula Second
Land deals begin with equity, not with the payment. Lenders quote requirements as a percentage of purchase price, so step one in every scenario here is the same subtraction: purchase price minus down payment equals the loan principal P. Everything downstream, including the amortizing payment M, depends on that subtraction being honest about the parcel class.
With P established, the payment formula takes over. The monthly rate r is the annual rate divided by 12, n is the term in months, and M = P x r x (1+r)^n / ((1+r)^n - 1). The only genuinely effortful piece is raising (1+r) to the nth power, which is exactly the labor the /land-loan-calculator.html page automates; here we show the factors explicitly so the arithmetic never disappears.
CHAPTER 02Scenario 1: Ten Acres of Raw Land at 30 Percent Down
A buyer offers $80,000 for ten wooded acres with a recorded easement but no utilities. The lender, a community bank, requires 30 percent down on raw land: 80,000 x 0.30 = $24,000 due at closing, leaving a principal of 80,000 - 24,000 = $56,000. The quoted rate, typical for raw parcels in 2025-26, is 12 percent over a 15-year term of 180 months.
Compute: r = 0.12/12 = 0.01, and (1+r)^180 = 5.9958. The payment is M = 56,000 x 0.01 x 5.9958 / (5.9958 - 1) = 56,000 x 0.01 x 1.2017 = $672.09 per month.
Over 180 payments the buyer remits 672.09 x 180 = $120,976, of which 120,976 - 56,000 = $64,976.94 is interest, slightly more than the principal itself. That is the price of financing raw dirt at 12 percent, and it is precisely why extra principal payments are so powerful in this class: every dollar prepaid kills future interest at a double-digit rate.
CHAPTER 03Scenario 2: A Build-Ready Lot at 20 Percent Down
The same buyer pivots to a half-acre improved lot in a subdivision corridor, priced at $120,000 with utilities at the line and county road frontage. A regional credit union offers 8.75 percent over 20 years with 20 percent down: 120,000 x 0.20 = $24,000 down, principal $96,000, term 240 months.
Compute: r = 0.0875/12 = 0.0072917, and (1+r)^240 = 5.7182. The payment is M = 96,000 x 0.0072917 x 5.7182 / (5.7182 - 1) = 96,000 x 0.0072917 x 1.2123 = $848.36 per month.
Total outlay is 848.36 x 240 = $203,606, meaning 203,606 - 96,000 = $107,606.95 in interest across two decades. Notice the trade the buyer made versus Scenario 1: a payment $176 higher per month, but at a rate nearly a third lower and with equity accruing from the first payment rather than a distant balloon. The /land-loan-calculator.html side-by-side view makes that comparison explicit.
CHAPTER 04Scenario 3: Small Recreational Tract, Fast Payoff
A couple buys six acres for hunting and camping: $60,000, no plans to build, seller amenable to a bank deal at 35 percent down because the parcel is semi-improved with a graded drive. Down payment: 60,000 x 0.35 = $21,000; principal $39,000 at 10.5 percent over just 10 years, 120 months.
Compute: r = 0.105/12 = 0.00875, and (1+r)^120 = 2.8446. The payment is M = 39,000 x 0.00875 x 2.8446 / (2.8446 - 1) = 39,000 x 0.00875 x 1.5421 = $526.25 per month.
Lifetime interest: 526.25 x 120 = $63,150 total paid, so 63,150 - 39,000 = $24,149.58 of interest. This is the cheapest land ownership in the post in every sense: highest equity share, shortest term, smallest principal. Buyers who treat recreational land as a cash-flow obligation rather than an asset play routinely structure exactly this way, and the amortization rewards them quickly.
CHAPTER 05Scenario 4: The Five-Year Balloon, Computed
Scenario 2's lender also offered an alternative: 8.75 percent amortized as if over 20 years, but with the entire balance due at month 60. The monthly payment is the same $848.36, because the amortization schedule is identical; only the deadline differs.
The balance at month 60 is found by compounding the principal and subtracting the payment stream: balance = 96,000 x (1+r)^60 - 848.36 x ((1+r)^60 - 1)/r, with r = 0.0072917. Now (1+r)^60 = 1.5464, so balance = 96,000 x 1.5464 - 848.36 x 0.5464/0.0072917 = 148,454 - 63,571 = $84,883.03 due in one payment.
Five years of payments removed only $11,117 of principal. That is what a long amortization with a short balloon does: it mimics an interest-only flavor without being one. Borrowers choosing this structure need a written plan for the $84,883, typically a refinance, a construction loan, or a sale, and the plan needs a backup, because rural refinance markets tighten without warning.
CHAPTER 06Scenario 5: What Two Rate Points Cost on the Raw Deal
Return to Scenario 1's $56,000 raw-land principal over 15 years, and ask what a stronger file or a credit union would change. At 9 percent: r = 0.0075, (1+r)^180 = 3.8380, so M = 56,000 x 0.0075 x 3.8380 / 2.8380 = $567.99 per month.
Against the 12 percent payment of $672.09, the lower rate saves $104.10 every month for 180 months, a cumulative $18,738. Lifetime interest falls from $64,976.94 to 567.99 x 180 - 56,000 = $46,238.20, an $18,738.74 difference, confirming the monthly math to the penny.
The lesson generalizes across every scenario in this post: in land lending, the rate spread between parcel classes and lender types is enormous, so shopping three lenders is not a courtesy, it is the highest-return hour available. The /land-loan-calculator.html page prices each quote in seconds; the negotiations those numbers enable are where rural deals are actually won.
CHAPTER 07Patterns Across the Five Deals
Equity does double duty. The 35 percent down deal enjoyed the smallest principal and the friendliest approval, while the 20 percent improved lot traded a longer term for buildability. Down payment is the lever borrowers control most directly, and it moves rate, term, and approval odds simultaneously.
The balloon is land lending's signature trap. Scenario 4's $84,883 obligation arrived wearing the same $848 monthly costume as Scenario 2's fully amortizing loan. Always ask a quote two questions: what amortizes this payment, and what is owed at every date the note accelerates. A lender who answers crisply is telling you they write these loans often.
Rate sensitivity in this asset class dwarfs residential lending. Two points moved the raw-land payment 15 percent. Whatever scenario matches your parcel, recompute it at your quote, at quote plus two, and at the local credit union's best, then let the /land-loan-calculator.html output, not optimism, decide which offer you sign.
🔑 Key takeaways
- Every land payment starts with a subtraction: $80,000 less 30 percent down leaves $56,000 to finance, and the parcel class sets the down percentage.
- Raw land at 12 percent for 15 years costs $672.09 per month on $56,000 and $64,976.94 in lifetime interest, more than the principal itself.
- An improved lot at 8.75 percent over 20 years costs $848.36 per month on $96,000; improved parcels buy longer terms and lower rates.
- A 20-year amortization with a 5-year balloon still owes $84,883.03 at month 60 on the $96,000 deal; the balloon balance is always a planning number.
- Two rate points on the raw deal cost $104.10 monthly and $18,738.74 over the term, which is why three lender quotes is the minimum in this market.
- All five scenarios recompute in seconds on the /land-loan-calculator.html page with your own price, equity, rate, and term.
❓ Frequently asked questions
Why does the balloon scenario owe so much after five years?
Because the payment was computed from a 20-year amortization schedule, which retires principal slowly by design. Five years of such payments removed only $11,117 from a $96,000 balance. The balloon accelerates nothing monthly; it simply moves the remaining balance's due date forward, which is why it must be planned, not discovered.
Which down payment percentage should I model first?
Model the percentage your parcel class realistically requires: roughly 15-25 percent for improved lots, 25-35 for semi-improved, 30-50 for raw. Starting at a wishful number produces a payment that will never be approved. Once the realistic version works, test whether more equity buys a better rate worth having.
How were the growth factors like (1+r)^180 = 5.9958 produced?
By straightforward exponentiation: 1.01 raised to the 180th power, compounded monthly at 1 percent. Hand calculators or a spreadsheet produce identical values, and the /land-loan-calculator.html page does the same arithmetic internally, so any figure in this post can be checked independently in under a minute.
Is 12 percent really typical for raw land in 2025-26?
For tough parcels with utility and access questions, yes, double-digit pricing remains common at community banks; stronger files and credit unions can land meaningfully lower, and farm credit lenders price agricultural use on their own curve. Treat every band in this post as a range to shop within, not a fixed price.
Can these scenarios include closing costs in the loan?
Some lenders will finance surveys, title, or prepaid taxes into a land loan if the appraised value supports the larger principal. It changes every number here: a $2,500 addition to Scenario 1's principal raises the payment proportionally. If your lender allows it, add the amount to P in the calculator and compare before rolling anything in.
What single number should I check before signing a land loan?
The balance due at each acceleration date. Amortization schedules, rates, and even down payments can be renegotiated; a surprise balloon cannot. Compute the month-60 balance, write a plan beside it, and keep a second plan in case the first one needs a lender's cooperation you cannot guarantee in advance.
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