Use the information below for questions $(16)$ to $(18)$

$B$&$B$ has a new baby powder ready to market. If the firm goes directly to market with the product, there is only a $35$ percent chance of success. However, the firm can conduct customer segment research, which will take a year and cost $$1,570,266.$ By going through research, $B$&$B$ will be able to better target potential customers and will increase the probability of success to $70$ percent. If successful, the baby powder will bring a present value profit $($at time of initial selling$)$ of $$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 if the company goes to market immediately.