Situation: The bank issued a loan of 350 tr. for a period of one year at 15% per annum. It is known that with a probability of 0.9, the borrower will repay the loan in full. With a probability of 0.05, only 40% of the principal debt will be repaid. With a probability of 0.05 - it will not extinguish anything.
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This situation involves probabilistic outcomes for loan repayment. Let's calculate the expected value of the loan repayment.
1. Probability of full repayment (P₁) = 0.9
2. Probability of 40% repayment (P₂) = 0.05
3. Probability of no repayment (P₃) = 0.05
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