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You'd like to know how much you can borrow from the bank using a 30 year principal and interest (P&I) home loan.You can afford monthly payments of $9,000.The interest rate is 6.72% pa compounding monthly which is not expected to change.How much can you borrow now?Question 1Select one:a.$3,240,000b.$2,806,039.97c.$1,607,142.86d.$1,391,884.91e.$1,363,636.36

Question

You'd like to know how much you can borrow from the bank using a 30 year principal and interest (P&I) home loan.You can afford monthly payments of 9,000.Theinterestrateis6.729,000.The interest rate is 6.72% pa compounding monthly which is not expected to change.How much can you borrow now?Question 1Select one:a.3,240,000b.2,806,039.97c.2,806,039.97c.1,607,142.86d.1,391,884.91e.1,391,884.91e.1,363,636.36

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Solution

To calculate how much you can borrow now, you can use the formula for the present value of an annuity, which is a series of equal payments made at regular intervals. The formula is:

PV = PMT * [(1 - (1 + r)^-n) / r]

where:

  • PV is the present value, or the amount you can borrow now
  • PMT is the monthly payment you can afford, which is $9,000
  • r is the monthly interest rate, which is the annual interest rate divided by 12 (6.72% / 12 = 0.56% or 0.0056 in decimal form)
  • n is the total number of payments, which is the number of years times 12 (30 * 12 = 360)

Substituting the given values into the formula, we get:

PV = 9000 * [(1 - (1 + 0.0056)^-360) / 0.0056]

Solving this equation will give you the amount you can borrow now.

After calculating, the answer is approximately 1,391,884.91.So,thecorrectoptionisd.1,391,884.91. So, the correct option is d. 1,391,884.91.

This problem has been solved

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