Answer:
Difference between A and B =$42398.5
Process B is better as its PW value is smaller than Process A.
Explanation:
In order to use present worth, both Alternatives must have same time period. Since Process B has 4 years means 16 quarters so we make process A to have 16 quarters two with 2% interest rate per quarter.
Note:
We are going to use Compound Interest tables to simplify our work. Formulas can also be used.
For Process A:
Present value of process A=![-200,000-200,000(P/F,2\%,8)-10,000(P/A,2\%,16)+25,000(P/F,2\%,8)+25,000(P/F,2\%,16)](https://tex.z-dn.net/?f=-200%2C000-200%2C000%28P%2FF%2C2%5C%25%2C8%29-10%2C000%28P%2FA%2C2%5C%25%2C16%29%2B25%2C000%28P%2FF%2C2%5C%25%2C8%29%2B25%2C000%28P%2FF%2C2%5C%25%2C16%29)
Present value of process A=![-200,000-200,000(0.8535)-10,000(13.578)+25,000(0.8535)+25,000(0.7284)](https://tex.z-dn.net/?f=-200%2C000-200%2C000%280.8535%29-10%2C000%2813.578%29%2B25%2C000%280.8535%29%2B25%2C000%280.7284%29)
Present value of process A=-$466,932.5
For Process B:
Present value of process B=![-250,000-15,000(P/A,2\%,16)+40,000(P/A,2\%,16)](https://tex.z-dn.net/?f=-250%2C000-15%2C000%28P%2FA%2C2%5C%25%2C16%29%2B40%2C000%28P%2FA%2C2%5C%25%2C16%29)
Present value of process B=![-250,000-15,000(13.578)+40,000(0.7284)](https://tex.z-dn.net/?f=-250%2C000-15%2C000%2813.578%29%2B40%2C000%280.7284%29)
Present value of process B=-$424,534
Difference between A and B =(-$424,534)-(-$466,932.5)
Difference between A and B =$42398.5
Process B is better as its PW value is smaller than Process A.