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and they don't particularly want to see your parents on the streets.
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The way in which this works is not so much
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that it gives an extra positive return to the lender,
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the way in which it works
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is it gives an extra negative return to the borrower.
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So let's just do this backward induction again
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with the house in place.
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So with this house in place, as before,
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you'll return the loan up here,
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but now provided you like your parents enough,
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you would also return the loan here
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because you prefer $2 to $3 minus your parent's house,