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Suppose that you bought a house worth $400,000 by putting a down payment of $50.000 and by taking out a loan for the rest at
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Answer #1

a Loan = price-down = 400000-50000=350000

PVordinary Annuity

PVOrdinary Annuity = C*[(1-(1+i/100)^(-n))/(i/100)]
C = Cash flow per period
i = interest rate
n = number of payments
350000= Cash Flow*((1-(1+ 4.2/1200)^(-30*12))/(4.2/1200))
Cash Flow = 1711.56 = monthly payment

b

PVOrdinary Annuity = C*[(1-(1+i/100)^(-n))/(i/100)]
C = Cash flow per period
i = interest rate
n = number of payments
PV= 1711.56*((1-(1+ 4.2/1200)^(-20*12))/(4.2/1200))
PV = 277593.45

c

Equity = market value-amount owed = 460000-277593.45=182406.55

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