Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $60,000 cash immediately, (2) $18,000 cash immediately and a six-period annuity of $7,500 beginning one year from today, or (3) a six-period annuity of $11,800 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1. Assuming an interest rate of 5%, determine the present value for the above options. Which option should Alex choose? 2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will mak annual deposits of $105,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 6% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030? Answer is not complete.
Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $60,000 cash immediately, (2) $18,000 cash immediately and a six-period annuity of $7,500 beginning one year from today, or (3) a six-period annuity of $11,800 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1. Assuming an interest rate of 5%, determine the present value for the above options. Which option should Alex choose? 2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will mak annual deposits of $105,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 6% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030? Answer is not complete.
Financial Accounting: The Impact on Decision Makers
10th Edition
ISBN:9781305654174
Author:Gary A. Porter, Curtis L. Norton
Publisher:Gary A. Porter, Curtis L. Norton
Chapter9: Current Liabilities, Contingencies, And The Time Value Of Money
Section: Chapter Questions
Problem 9.20MCE
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Option 1
Since the entire payment will be received today, it's present value will be equal to the amount to be received, i.e., $ 60,000.
Option 2
Present value = $ 18,000 + ($ 7,500 x present value of annuity factor at 5% for 6 years)
Present value = $ 18,000 + ($ 7,500 x 5.076)
Present value= $ 56,070
Option 3
Present value = $ 11,800 x present value of annuity factor at 5% for 6 years
Present value = ($ 11,800 x 5.076)
= $ 59,897
Decision: Since the present value of Option 1 is the highest, Option 1 should be selected.
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