NewFashion Inc. is going to introduce a new line of clothes, that requires an initialinvestment of $$170,000.$ In one year NewFashion will know for sure if the line hasbeen successful or not. With a probability of $40\%,$ the line will become popular andwill generate $$15,000$ every year forever $($starting one year after the initialinvestment$).$ Otherwise, it will generate nothing. If it is popular, NewFashion candecide to double the size of the project on the original terms $($i$.$e$.$ paying an additional$$170,000$ at the end of t $=1$ and getting additional $$15,000$ forever, starting at the endof t $=2)$ by launching a line of accessories based on these clothes. Assume that theopportunity cost of capital is $4\%.$ NewFashion can sell the patent to produce this lineof clothes at any time for $$13,000($but then won$$t be allowed to produce it any more$).$ASSUME THAT PEOPLE'S TASTES ARE INDEPENDENT OF THEIR WEALTHLEVEL $($Hint: No need for risk$-$neutral pricing. Use Decision Tree Method.$).$

$19.$ The total value of the investment including the option to double is: