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Blossom Services Inc. accounts for the lease of a truck. The lease includes a residual value guarantee at the end of the lease term of $$18,100.$ Blossom estimates that the likelihood that the residual value will be $$18,100$ has a $55\%$ certainty. Blossom feels that there is a $40\%$ chance that the residual value will be $$12,000$ and a $5\%$ chance that it will be $$10,000.$

Calculate the probability$-$weighted value of the residual guarantee that needs to be included in the measurement of the lease payments liability recorded by Blossom when the lease is signed.

Probability$-$weighted expected value