Show me the steps to Congratulations! You just won $$150,000$ in the state lottery. You can collect

$$15,000$ today and receive the remainder in annual payments of the same amount $($i$.$e$.,$ also

$$15,000).$ Or you can take a lump$-$sum payment of $$125,000$ today.

$$ Which should you choose?

$$ Use the current U$.$S$.$ Treasury $10-$Year Note yield $(4\mathrm{.}50\%)$ as your discount rate to

calculate the PV of the annuity.

$$ What is the PV if your payments increase by $2\%$ per year?

$$ Why is the U$.$S$.10-$Year Note yield an appropriate discount rate? Or is it$?$

$$ What is your opportunity cost?solve