B&B has a new baby powder ready to market. If the firm goes directly to market with the product, there is only a $55$ percent chance of success. However, the firm can conduct customer segment research, which will take a year and cost $$945,000.$ By going through research, B&B will be able to better target potential customers and will increase the probability of success to $70$ percent. If successful, the baby powder will bring a present value profit $($at time of initial selling$)$ of $$17\mathrm{.}1$ million. If unsuccessful, the present value payoff is $$7\mathrm{.}9$ million. The appropriate discount rate is $13$ percent.

Calculate the NPV for the firm if it conducts customer segment research and if it goes to market immediately.