Calculate the equity each of these people has in his or her home: a. Fred just bought a house for \(200,000 by putting 10% as a down payment and borrowing the rest from the bank. b. Freda bought a house for \)150,000 in cash, but if she were to sell it now, it would sell for \(250,000. c. Frank bought a house for \)100,000. He put 20% down and borrowed the rest from the bank. However, the value of the house has now increased to \(160,000 and he has paid off \)20,000 of the bank loan.

Short Answer

Expert verified
Fred's equity in his home is $20,000. Freda's equity in her home is $250,000. Frank's equity in his home is $100,000.

Step by step solution

01

Fred's Equity

1. Calculate the down payment: \(Down\;Payment = \frac{10}{100} * 200,000 = 20,000\) 2. Calculate the mortgage balance: \(Mortgage\;Balance = 200,000 - 20,000 = 180,000\) 3. Calculate the equity: \(Equity = Market\;Value - Mortgage\;Balance = 200,000 - 180,000 = 20,000\) So, Fred's equity in his home is $20,000.
02

Freda's Equity

Freda bought her house in cash, so she has no mortgage balance. 1. Calculate the equity: \(Equity = Market\;Value - Mortgage\;Balance = 250,000 - 0 = 250,000\) So, Freda's equity in her home is $250,000.
03

Frank's Equity

1. Calculate the down payment: \(Down\;Payment = \frac{20}{100} * 100,000 = 20,000\) 2. Calculate the mortgage balance: Mortgage Balance (initial) = \(100,000 - 20,000 = 80,000\) Mortgage Balance (current) = \(80,000 - Loan\;Paid\) = \(80,000 - 20,000 = 60,000\) 3. Calculate the equity: \(Equity = Market\;Value - Mortgage\;Balance = 160,000 - 60,000 = 100,000\) So, Frank's equity in his home is $100,000.

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