This thesis develops a framework to price the implicit government guarantee embedded in the bonds issued by the Farm Credit System. It shows that the value of the implicit government guarantee for a specific bond is dependent on the yield spread, the risk-free interest rate, the maturity and the future value of the bond price. It also reconfirms Merton's theory (1974) that yield spreads are influenced by variances of the firm (volatility square), maturity and quasi debt to collateral value ratio (d-ratio). Furthermore, the hypothetical bond yields for the Farm Credit System bonds without GSE status are calculated based on the Black-Scholes Model.