Math Problem $($Show Calculations$)$:

Nuerogen Inc., an American biotechnology company, is considering opening up a production facility in South Africa. The current exchange rate is $6\mathrm{.}4$ South African rand per U$.$S$.$ dollar $(6\mathrm{.}4$ R$/$US$$).$ The US$ is expected to appreciate by $10\%$ relative to the rand every year for the next five years. The expected cash flows from the project in rand are described in the timeline below. The parity conditions do not hold. The appropriate discount rate for projects of similar risk is $20\%$ in the United States and the appropriate discount rate for projects of similar risk in South Africa is $35\%.$ What is the NPV of the project from the parent perspective and the project perspective? Should Nuerogen Inc. accept the project? Why?

$\backslash$table$[[$Year$,0,1,2,3],[$Cash Flow,$-850,000R,300,000R,500,000R,800,000R$