Piggyback Second Lien in Allen County
A borrower in Allen County, Indiana, is purchasing a $380,000 primary residence with 10% down. She wants to avoid PMI. Her first mortgage is a 30-year fixed at 6.25% for $304,000 (80% LTV), and a credit union offers a simultaneous 15-year fixed second mortgage for $38,000 at 8.5% (10% CLTV). Her gross monthly income is $9,200; monthly debts include $410 car payment, $250 student loan, $120 minimum credit card. Estimated property taxes $4,200/year, homeowners insurance $1,800/year, HOA $75/month. She has $12,000 in verified reserves after closing. The first lender's automated underwriting approves with total DTI up to 45%, but the second lien holder requires a maximum 43% DTI including the second payment. The borrower asks whether she qualifies and whether the structure really avoids mortgage insurance.
1. Calculate the monthly housing payment and total DTI. Does the borrower meet both the 43% second-lien limit and the 45% first-lien limit? Show your work.
Read the worked answer
First mortgage P&I: $304,000 at 6.25%/12 = 0.00520833 for 360 months. Payment = 304,000 × 0.00520833 × (1.00520833)^360 / [(1.00520833)^360 − 1] ≈ $1,872. Second mortgage P&I: $38,000 at 8.5%/12 = 0.00708333 for 180 months ≈ $374. Taxes: $4,200/12 = $350. Insurance: $1,800/12 = $150. HOA: $75. Total housing = 1,872 + 374 + 350 + 150 + 75 = $2,821. Other debts = 410 + 250 + 120 = $780. Total obligations = $3,601. DTI = 3,601/9,200 = 39.14%. This is below both the second lender's 43% maximum and the first lender's 45% maximum, so she meets both on these numbers. The key is that the second-lien payment must be included in the DTI; a piggyback second is not excluded from total debt service just because it helped avoid PMI.
2. Explain whether the piggyback structure truly avoids mortgage insurance and identify the trade-offs the borrower should understand.
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Yes, the first lien is at 80% LTV, so the first lender should not require borrower-paid PMI. The second lien is not mortgage insurance; it is a separate loan secured by the home. But the borrower is not avoiding cost - she is substituting a second mortgage at 8.5% for PMI, and the second lien has a 15-year amortization, so the payment is higher and the rate is higher. The second lien also creates a 90% CLTV, which matters if values decline and she needs to sell or refinance; the second lender must be paid off or subordinated. The second payment is included in DTI, so it can reduce affordability. Also, the second lender's 43% limit is stricter than the first lender's 45%, so the second lien can drive the qualification. A borrower should compare the total monthly cost and break-even period of the second lien versus PMI, and understand whether the second lien is fixed or variable and whether it has a balloon.
3. Assume the borrower's income drops to $8,000 per month before closing. What options preserve the structure, and what should you not do?
Read the worked answer
At $8,000, total DTI is $3,601/$8,000 = 45.0%, which exceeds the second lender's 43% maximum, so the second lien cannot be approved as structured. Options: reduce the second lien amount by increasing the down payment with verified funds; pay off or reduce the car loan or credit card to lower monthly debts; choose a lower first-mortgage payment if a lower rate is available; or restructure to a single first lien with PMI if it meets the first lender's 45% limit. You must not reclassify the second lien as a gift or omit its payment, ignore the car payment, or pressure the borrower to state income that is not documented. Re-run AUS and the second lender's DTI with verified income and document the change. If no option works, the borrower may need to delay closing or reduce the purchase price.