Solution:
Equal yearly installment = $5,000,000 / 20 = $250,000
PResent value of prize = $250,000 * Cumulative PV factor at 7% for 20 periods of annuity due
= $250,000 * 11.33560
= $2,833,900
8) Lottery prizes are often not "worth" as much as claimed. What is the present value...
6) Sharon Marsh just graduated. She plans to work for five years and then leave for the Australian "Outback" Country for an extended vacation. She figures she can save $3,500 at the end of each of the first three years and $5,000 at the end of each of two years after. Her family also gave her a graduation gift today of $2,500. Sharon sets up a savings account that offers her an APR of 7.75% which compounds annually. What is...
eBookPresent Value of an AnnuityOn January 1, you win $5,000,000 in the state lottery. The $5,000,000 prize will be paid in equal installments of $500,000 over 10 years. The payments will be made on December 31 of each year, beginning on December 31. If the current interest rate is 7%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar.
Author: Lori Alden Audience: High school and college economics students Time required: About 30 minutes NCEE Standards: 12, 15 Summary: This exercise demonstrates that ten payments of $100,000 over a ten year period does not equal $1,000,000. A simple net present value equation is used. Student handout: Joe just won $1,000,000 in a lottery. He plans to build a house, travel and buy lots of CDs. But when he goes to collect his prize he's told that he can't have...
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