Answer and Explanation:
First alternative Present value;
= $50,000
The $50,000 is to be paid now so this is its present value.
Second alternative;
This is an Annuity due as the first payment is now. The present value is;
= 10,000 * Present Value of Annuity dude factor for 6 years, 6%
= 10,000 * 5.2124
= $52,124
Third alternative;
= 22,000/(1 + 6%)^3 + 22,000/(1 + 6%)^4 + 22,000/(1 + 6%)^5
= $52,337
The third alternative should be chosen as it offers the highest present value.