Question

In: Finance

3. A financial institution has the following assets (market values): $120 million in cash reserves, $120...

3. A financial institution has the following assets (market values):

$120 million in cash reserves,

$120 million in Treasury bills and notes,

$200 million in mortgage loans,

$40 million in corporate bonds, and

$150 million in commercial loans.

If assets are liquidated on short notice, the institution expects to receive

99% of the fair market value of the treasury debt,

90% of the fair market value of the mortgages,

95% of the fair market value of the bonds, and

$75% of the fair market value of the commercial loans.

What is the financial institution’s liquidity index?

Solutions

Expert Solution

The liquidity index

  • Reflects reflects the amount realized from a fire-sale of assets compared to a fair market value established under the conditions of normal sale.
  • In a way helps us understand, potential losses suffered by a financial institution (FI) from a fire-sale of assets compared to a fair market value established under the conditions of normal sale.
  • The lower is the index, the less liquidity the FI has on its balance sheet.
  • The index should always be a value between 0 and 1.   

Financials below are in $ million.

Asset Fair Value Realization factor Amount Realized
FV R A = R x FV
Cash Reserves                120.00 100%           120.00
Treasury bills & Notes                120.00 99%           118.80
Mortgage loans                200.00 90%           180.00
Corporate bonds                  40.00 95%              38.00
Commercial loans                150.00 75%           112.50
Total                630.00           569.30

the financial institution’s liquidity index = Total of A / Total of FV = 569.30 / 630 = 90.37%


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