Question

Answer each of the following independent questions. Required: Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $88,000 cash immediately, (2) $34,000 cash immediately and a six-period annuity of $9,300 beginning one year from today, or (3) a six-period annuity of $18,400 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.) 1.1 Assuming an interest rate of 7%, determine the PV value for the above options.
1.2 Which option should Alex choose? Option (1) Option (2) Option (3)
2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2022. Weimer will make annual deposits of $175,000 into a special bank account at the end of each of 10 years beginning December 31, 2013. Assuming that the bank account pays 8% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2022?
Table of calculation function?
Payment?
N?
I?
Future value?

Answer 1

Answer:

option 1

$4,056,237.49

Explanation:

To determine the better option, we have to determine the present value of options 2 and 3

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

option 2

Cash flow in year 0 = $34,000

Cash flow in year 1  to 6 =  $9,300  

I = 7 %

PV =  78,328.82

Option 2

Cash flow in year 1  to 6 =  $$18,400

I = 7 %

PV = 87704.33

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

It is the first option that has the highest value

The formula for calculating future value = A / annuity factor

Annuity factor = {[(1+r) n] - 1} / r

P = Present value  

R = interest rate  

N = number of years