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Congratulations!!! You have just taken out a 30-year mortgage on a new home. You will have to make payments of $3,500 per month for the next 30 years. The lender was kind enough to offer a low rate of...

Congratulations!!! You have just taken out a 30-year mortgage on a new home. You will have to make payments of $3,500 per month for the next 30 years. The lender was kind enough to offer a low rate of 6% .

  1. How much money did you borrow?
  2. What is the EAR of this loan?

$48,176.91 and 6.17%

$583,770.65 and 0.5%

$583,770.65 and 6.17%

$48,176.91 and 0.5%

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Answer #1

Money borrowed is calculated using the PV function as follows:

=PV(rate,nper,pmt)

=PV(6%/12,30*12,-3500)

=583,770.65

The effective rate is calculated as:

=(1+6%/12)^12-1

=6.17%

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