In Los Angeles are property taxes automatically reassessed whenever the ownership is transferred???
In most localities reassessment is only done periodically and then all properties are reassessed together; not just the ones that have sold recently.
IRS Publication 523 If the mother and father have lived in the house for at least 2 of the past 5 years there would be no capitals gains tax on the first $500,000 of gain.
Assuming mom and dad paid at least $250,000 for hte house and have met the principal residence test, there could be $0 capital gains tax for the to pay.
The capital gain is calculated by subtracting the basis (original cost to get in the house, i.e. sale price) plus some allowable settlement costs, improvements, and costs of sale. You need to get a CPA or knowledgable tax person to guide you on this.
The type of loan the daughter gets is not relevant to mom & dad's tax situation.