Engineering Economy
Engineering Economy
8th Edition
ISBN: 9780073523439
Author: Leland T Blank Professor Emeritus, Anthony Tarquin
Publisher: McGraw-Hill Education
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Chapter 3, Problem 1P
To determine

Calculate the loan amount.

Expert Solution & Answer
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Explanation of Solution

Equivalent annual value (A) is $400,000. Repayment starts from the beginning of the second year to the end of 15 year. Thus, time period 1 (n1) is 1 year and time period 2 (n2) is 15 years. Interest rate is 10%.

Loan amount (P) can be calculated as follows:

P=A((1+i)n21i(1+i)n2)(1+i)n1=400,000((1+0.1)1510.1(1+0.1)15)(1+0.1)1=400,000(4.177248210.1(4.1772482))1.1=400,000(3.17724820.4177248)1.1=400,000(7.6060799)1.1=3,042,431.961.1=2,765,847.24

The loan amount is $2,765,847.24.

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