Upon graduation, you receive two very different job offers that will result in two different career trajectories. To keep things simple, lets assume your salaries are paid once a year at the end of each year.

A. Option A (company A) is a job related to your background. It starts with a decent salary $75,000 per year, and increases by 3% per year after that.

B. Option B (company B) requires some initial learning, so the first 3 years has a low salary that starts at $42,000 and increases by 2% per year. At the end of year 3 (beginning of year 4), the salary increases by a factor of 2 (it doubles), and then it will increase by 6% per year every year after that.

Assume your TVOM is 5%. We want to compare these two options in short term and long term. Assume you quit both jobs after 3 years.

1. What are the present worth of each job?

2. Which offer (A or B) should you choose, if you are going to work for 10 years? 20 years? 30 years?

3. What is the minimum number of years that you become indifferent between the two job offers?

4. Generate a plot that shows the difference in the present worth of the two options (PW(A)-PW(B)) as a function of the number of years you are planning to work [from 3 years to 30 years)].

Now, we want to look into the impact of your time value of money. Suppose you will be working for 20 years.

5. What will be the level of TVOM that makes you indifferent between the two job offers?

Annual Worth Equivalent: 6. Suppose again that your TVOM is 4%, and that you are going to work for 20 years for company B. Company B can pay you using a different payment plan from what was described earlier, in which they pay you equal monthly payments for the duration of your (in this case it will be 240 equal monthly payments). What should be the size of those payments to make you indifferent between the two payment plans? (Note that the original payment plan is still based on annual payments)