Julia will retire in 20 years. Currently, she works for an established firm and has a contract with fixed wages of $70,000 per year for the next 20 years (the first payment is in year 1). She is offered an alternative job in a promising start-up firm. The start-up offers to pay $50,000 in fixed wages per year for the next 20 years. But there is an expectation that the start-up will do an IPO after three years, in which case Julia will start to receive some additional compensation on the top of her fixed wages. The expectation is that she will receive an additional $40,000 in year 4, and this amount will grow at the rate of 8% per year (the last year to receive compensation is year 20). Julia has to make a decision today whether to work for a start-up or keep her current job for the next 20 years. The offer is only available today. Julia cannot start in one job and then move to another. Please assume that all compensation is discounted at 10%. Should Julia agree to work for the start-up? Explain and show calculations of NPV under both contracts.