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Consider an economy with two consumer banks (one commercial and one investment) and an insurance com- pany. East Westeros Savings Bank, the commercial bank, holds

Consider an economy with two consumer banks (one commercial and one investment) and an insurance com- pany. East Westeros Savings Bank, the commercial bank, holds $300M in deposits, $50M in vehicle loans, $60M in student loans, $150M in repos loaned to the investment bank (Ditcher, Quick, and Hyde) and $150M in housing loans. They face a 10% reserve requirement and are holding $20M in excess reserves. The other bank in the economy is an investment bank called Ditcher, Quick, and Hyde LLP, who owe $150M in repos to East Westeros Savings Bank, and own $30M in equities and $120M in mortgage-backed securities. The insurance company, Post Malone Mutual, has sold credit default swaps on $80M mortgage backed securities owned by Ditcher, Quick, and Hyde AND $100M of the repos owned by East Westeros, and the insurance company currently has $100M in reserves.

  1. (2 points) Does Post Malone Mutual have enough money to cover their insurance contracts if they had to pay out the entirety of the contract? Is so, how much extra reserves would they have? If not, how large would their bailout need to be to stay solvent?
  2. (4 points) Suppose that the housing market collapses and the value of housing loans (held by East Westeros Savings Bank) fall in value by 70% and mortgage-backed securities (held by Ditcher, Quick, and Hyde) fall in value by 40%. Show the effects of this drop in a table. Are the banks still solvent? Be sure to account for changes in the value of debt owed between banks!
  3. (2 points) Calculate the amount that Post Malone Mutual must pay to each bank. Assume that they must satisfy their obligations to Ditcher, Quick, and Hyde before they can pay East Westeros Savings Bank.
  4. Are they both still solvent?

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