Ang Electronics, Incorporated, has developed a new HD DVD$.$ If the HD DVD is successful, the present value of the payoff $($at the time the product is brought to market$)$ is $$34\mathrm{.}7$ million. If the HD DVD fails, the present value of the payoff is $$12\mathrm{.}7$ million. If the product goes directly to market, there is a $60$ percent chance of success. Alternatively, the company can delay the launch by one year and spend $$1\mathrm{.}37$ million to test$-$market the HD DVD$.$ Test$-$marketing would allow the firm to improve the product and increase the probability of success to $90$ percent. The appropriate discount rate is $10$ percent. Calculate the NPV of going directly to market and the NPV of test$-$marketing before going to market.