XYZ Bank has the following balance sheet (in $million): Loans 100 Securities 25
ID: 2657649 • Letter: X
Question
XYZ Bank has the following balance sheet (in $million):
Loans 100
Securities 25
Inter-bank Lending 0
Cash/Reserves 10
- -
Demand Deposits 110
Bonds 20
Equity ?
Holding Company HC owns all the equity of XYZ Bank, which is its only asset. It issued a bond to buy XYZ Bank. HC’s leverage ratio is 5. What are owners’ equity in XYZ and in HC? What is XYZ’s leverage ratio?
Extra Credit: If bank regulators “look through” XYZ to HC, what is XYZ’s true leverage ratio? In other words, how much capital does XYZ really have?
Explanation / Answer
Total Asset of XYZ = Loans + Securities + Cash (or Reserves) = $(100+25+10) million = $135million
Total Liabilities of XYZ = Demand Deposits + Bonds =$(110+20)million =$130million
As, Assets= Liability + Owner's Equity
Therefore, Owner's Equity of XYZ = $ (135-130) million = $5 million
As, Leverage Ratio = Liability / Owner's Equity
Therefore, Leverage Ratio of XYZ =(130/5) =26
Given, Owner's Equity of XYZ = Asset of HC
So, Asset of HC = $ 5 miilion
Therefore, Liability of HC + Owner's Equity of HC = $ 5 miilion
Given, Leverage ratio of HC = 5
So, weightage of Owner's Equity of HC =1/6
Therefore, Owner's Equity of HC = $ [5 x (1/6)] million =$0.83 million
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