Foodsource Company purchased a sanitizing machine from the manufacturer by agreeing to pay $$15,000$ every three months during

the next three years beginning three months after the purchase date. The effective market interest rate for this type of

arrangement is $8\%.$ Additional information:

What value should Foodsource record for the liability $($and the machine$)$ on the purchase date? $($Round to nearest dollar$).$

$$113\mathrm{.}041$

$$50,205$

$$158\mathrm{.}630$

$$122,434$