Carla Vista Services Inc. accounts for the lease of a truck. The lease includes, residual value guarantee at the end of the lease term of

$$17,600.$ Carla Vista estimates that the likelihood that the residual value will be $$17,600$ has a $55\%$ certainty. Carla Vista feels that

there is a $25\%$ chance that the residual value will be $$11,500$ and a $20\%$ chance that it will be $$9,300.$

Calculate the probability$-$weighted value of the residual guarantee that needs to be included in the measurement of the lease

payments liability recorded by Carla Vista when the lease is signed.

Probability$-$weighted expected value $