Suppose an office building in central Paris is anticipated to produce an NOI of $800$ Euros per square meter next year. Thereafter, NOI is expected to grow at a rate of $3\%$ per year indefinitely. You can purchase the property at a $5\%$ cap rate. You plan to hold the property for $5$ years. You feel pretty confident that rents will indeed grow at $3\%$ annually. The big unknown in your mind is what the terminal cap rate will be$.$ Based on some consultancy reports you've seen, there is a $50\%$ chance that the property will sell at the going$-$in cap rate, a $20\%$ chance that the property will sell at a $6\%$ cap, and a $30\%$ chance that the property will sell at a $3\mathrm{.}5\%$ cap. You buy the property with $100\%$ equity.

What is your IRR $($in percent$)$ under the most likely scenario?