the same basis. Namely, suppose the face value of the security is $1,008,800 and the security full prices is $1,006,150.03. What is the yield on the bank dis- count basis? To see this, recall the formula for the dollar discount (D): D = Yd´ F ´ (t/360) where Yd = discount yield F = face value t = number of days until maturity 5The number of days between two dates using a 30/360 day count convention will usually differ from the actual number of days between the two dates. In this case, there 92 actual days between the two dates. In this case, the face value is $1,008,800, the dollar discount is $2,649.97, and the actual number of days until maturity is 41 since dis- count securities use an Actual/360 day count convention. Inserting these numbers into the formula gives us: $2,649.97 = Yd´ $1,008,800 ´ (41/360) Solving for Ydgives us: Yd=0.02306504=2.306504% The calculation agrees with the yield calculation displayed in the "YIELD CALCULATIONS" box on the left-hand side of the screen in Exhibit 4.13. FEDERAL AGRICULTURAL MORTGAGE CORPORATION The Federal Agricultural Mortgage Corporation ("Farmer Mac") is a GSE created by Congress in 1988 whose mission is to attract capital for the financing of agricultural real estate and to promote a liquid secondary mar- ket for agricultural loans. This is accomplished by buying qualified loans from lenders (e.g., mortgage companies, savings institutions, credit unions, commercial banks, etc.) and combining the loans into pools against which Farmer Mac issues securities backed by these loans. Accordingly, Farmer Mac performs a role for the agricultural mortgage market that mirrors what Fannie Mae and Freddie Mac do for the residential mortgage market. Farmer Mac maintains a direct line of credit with the U.S. Treasury.