Answer:
$12,117.91
Explanation:
The first task is to determine the cash flow amount that would be required in 2 years time by determining the expected value of estimated cash outflows which is the sum of the estimated cash flows multiplied by their respsective probabilities as shown thus:
expected value in 2 years=($12,700*30%)+($13,300*50%)+( $14,500*20%)
expected value in 2 years=$13,360.00
Using the present value formula below, we can calculate the amount to be invested today:
PV=FV/(1+r)^n
PV=the amount to be invested today=the unknown
FV=future value=FV=the amount of cash outflow required in 2 years=$13,360.00
r=rate of interest=5%
n=the length of time that the amount would invested=2 years
PV=$13,360.00/(1+5%)^2
PV=$12,117.91