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In the 21st century, the city of Ashkelon is an Israeli resort community. The city government is concerned with its security. Many centuries ago, the Egyptian sultan Saladin pulled down the last of Ashkelon's defensive walls. Perhaps raising new walls would increase its security. This would be a public works project, so it would be best to spread payments over time. The total purchase price is 20 million dollars (U.S.). The city can get a loan for this amount from a bank, with an interest rate of 10%, with payments being made at the end of each year, over 25 years. What is the minimum annual loan payment the city must pay to the bank

User Mkro
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1 Answer

3 votes

Answer:

$2,203,371.58

Step-by-step explanation:

we can use the present value of an annuity formula to calculate the annual payment:

present value = annual payment x annuity factor

annual payment = present value / annuity factor

  • present value = $20,000,000
  • PV annuity factor, 10%, 25 periods = 9.0770

annual payment = $20,000,000 / 9.0770 = $2,203,371.58

User Naresh Podishetty
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