We can invest SEK $1500,$ today, in a project which yields a perpetual, yearly cash flow of SEK c$,$ starting in one year from today. c takes on the same value each year, and can either be equal to SEK $200,$ or to SEK $80,$ with respective probabilities $0\mathrm{.}35$ and $0\mathrm{.}65.$ We are a risk$-$neutral decision maker, and we discount future cash flows at the rate of $7\%.$

$1\mathrm{.}1.$ What would be the net present value of the project, if we had to decide whether to invest or not without knowing the actual value of c$?$

$1\mathrm{.}2.$ What would be the net present value of the project, $($i$)$ if we learned that the actual cash$-$flow from the investment is equal to SEK $200,($ii$)$ if we learned that the actual cash$-$flow from the investment is equal to SEK $80?$ In which case$($s$),$ if any, should we invest in the project?

$1\mathrm{.}3.$ Suppose that we can actually identify the actual value of c today, at the cost of SEK $180.$ Should we take advantage of this opportunity? Dear Expert, kindly provide comprehensive notes and calculations to this for me$.$ Thank you