Project A requires an initial investment of $$100$ at the beginning of year $1.$ It pays $$15$ in perpetuity if the economy in year $1$ is favourable. Otherwise, the project will fail and pay nothing. The probability of a favourable economy is $50\%.$ Suppose you can delay the project by one year and observe which state of the economy will be materialised in year $1.$ If the economy is favourable, you can then invest $$100$ at the beginning of year $2$ and the project will generate perpetual cash flows of $$15.$ The cost of capital is $10\%$ per annum.

Calculate the value of the delay.