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c. Calculate lost income on FHLB pledgeable collateral vs. Fed Discount windowpledgeable investments (e.g., Treasuries):

Member's equity holding in FHLBS

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Amount converted: $2B- this is excess equity vs. needed amounts to draw down Advances for liquidity purposes

Spread between System-wide dividend yield (4.5%)1.2 and yield on 5-year Treasuries (3.11%) 3: 140 bp

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Option-adjusted spread in lost income: 114 bp

OAS is used instead of the simple bond yield differential between whole loans and Treasuries
to incorporate prepayment optionality inherent in whole loans but not Treasuries

The 15-year Fannie Mae MBS priced closest to par has a yield of 4.51% and an OAS* of 94 bp
Given that the OAS in whole mortgages are typically 20bp higher than the OAS in MBS, the
OAS of 114 bp (94 bp + 20 bp) represents the yield spread between approximately 5-year
Treasury and mortgage whole loans

Lost income = $41B 114 bp = $467mm

The total cost to Members would be about $500mm. This is composed of $28mm (for redeemed equity used to purchase Treasuries) + $467mm (for lower amounts of whole loans used to purchase Treasuries).

Using the System average dividend rate per FHLB Combined Annual Report, 2002, issued by Office of Finance

To be conservative we assumed that FHLBank dividends are fully taxable. According to Michael Wilson, FHLB Boston, it is, however, possible for Members to defer their tax liability -if dividends are paid in stock, the tax liability can be deferred indefinitely as long as the Member does not redeem such stock

3 5-year Treasury rate, Federal Reserve, as of 9/19/2003

The assumptions in the OAS computation are Bloomberg prepayment model, 20% volatility and 3% mean reversion in interest rates

4

5

The weighted average life (WAL) of the MBS is 4.4 years

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em_FFHS 01_09-25 App A2

A-17

Appendix B: The Methodology For Calculating The Potential Increase In Funding Costs Related To SEC Registration Of FHLBS' Stock

The methodology used to estimate the potential effects of the SEC registration on the FHLB's cost of funds consists of the following four steps:

1. Evaluate the factors determining how the FHLB debt is likely to trade upon SEC registration:

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As some traditional investors in FHLB debt use the absence of a need to register with the SEC as a definition of GSE status, they may, therefore, for a time, be prevented from buying new issues and may have to sell current holdings

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At a minimum, there could be little or no effect on spreads

Barring changes in credit quality of FHLBS, a potential worst-case effect could be that, upon SEC registration, FHLB debt for a time trades more like AAA-rated Bank/Finance bonds1

1

After the FHLB System is able to adjust its indicia, FHLB debt would return back to normal GSE yields

1 Currently COs carry a credit rating of AAA from major rating agencies based on the GSE status of the FHLB System FMCG.COM

em_FFHS 01_09-25 App B2

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2. Estimate the potential increase in the cost of funds:

Compare the term structure of FHLB and AAA Bank/Finance issues. As Exhibit 1 below shows,
the spread increases vary from about 10bp to 70bp, depending on the maturity date of the debt
Exhibit 1: Yield Curves Of FHLB Issues And AAA Bank/Finance Debt1

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3. Determine the run-off schedule for Consolidated Obligations:

Determine the term structure of outstanding balances and assume that new issuances follow the same maturity/call schedule

• The term structure of outstanding balances for consolidated bonds is provided below by term to maturity or next call date1

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The term structure of outstanding balances for discount notes is provided below by term to
maturity2

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1 FHLB Combined Annual Report, 2002, issued by Office of Finance, FMCG analytics

2 FHLB System Discount Note maturity summary prepared by the Office of Finance as of 7/31/03, FMCG analytics

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em_FFHS 01_09-25 App B2

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• For consolidated bonds, average issuance per month = (Annual consolidated bond

issuance1)+12 = $435B+12 = $36B

For discount notes, average issuance per month = (Outstanding DNs2 x %DNs maturing within 1-month3) = $147B × 57% = $83B

Apply the term structure of DNs and consolidated bonds to average monthly issuance to estimate the run-off schedule:

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Annual consolidated bond issuance in 2002. Source: Debt issuance statistics, Office of Finance Outstanding DN balances as of Dec 31, 2002. Source: Annual Report

FHLB System Discount Notes maturity summary prepared by the Office of Finance

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em_FFHS 01-09-25 App B2

B-4

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