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A commercial real estate developer plans to borrow money to finance an upscale mall in an exclusive area of the city. The developer plans to get a loan that will be repaid with uniform payments of $500,000 beginning in year 2 and ending in year 16. How much will a bank be willing to loan at an interest rate of 6% per year? The bank will be willing to loan the developer a sum of$

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Answer #1

The loan is for 15 years.

We shall calculate the value at end of year 1 and discount is back a year to find the loan amount.

N 15
I/Y 6.0000%
FV                             -  
PMT $       500,000.00
CPT PV $   4,856,124.49

Discounting back a year=$4,856,124.49/(1.06)=$4,581,249.52

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