Zang Services Inc. accounts for the lease of a truck. The lease includes a residual value guarantee at the end of the lease term of $16,000. Zang estimates that the likelihood that the residual value will be $16,000 has a 50% certainty. Zang feels that there is a 30% chance that the residual value will be $12,000 and a 20% 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 Zang when the lease is signed.