Answer:
a) The Maximum Liam should be willing to pay is $23,089
Step-by-step explanation:
The maximum amount Liam should be willing to pay for the investment is the present value of the future amount of 52,000 discounted at 7%.
The present value of a future sum is its worth in today's terms.This represents how much Liam should be offered now to make him indifferent about the choice of receiving $52,000 in the future.
For example, It is the amount that should be invested today at 7% to become $52,000 in 12 years time.
The present value (PV) of a future sum (FV) can be ascertained using the formula below:
PV = FV × (1+r)^(-n)
PV = 52,000× (1+0.07)^(-12)
= 52,000×0.4440
= 23,088.62
= $23,089
The Maximum Liam should be willing to pay is $23,089