A state transfers cagh to a broker and the broker transfers securities to the state, promising to repay the cash plus interest in exchange for the…

This transaction is a classic repurchase agreement, commonly known as a "repo." In a repo, one party (the broker) sells securities to another party (the state) with a formal agreement to buy them back at a specified future date for a higher price. The securities serve as collateral for what is essentially a short-term, collateralized loan. The difference between the initial sale price and the higher repurchase price constitutes the interest earned by the lender (the state). The question describes the transaction from the perspective of the borrower of cash (the broker), who is selling and then repurchasing the securities.

A. an arbitrage agreement.

This is incorrect because arbitrage involves exploiting price differences of the same asset in different markets, not a collateralized lending transaction.

C. a mutual buy-sell agreement.

This term is too general and does not describe the specific financial instrument where securities are used as collateral for a loan with a built-in interest component.

D. a reverse repurchase agreement.

This describes the same transaction but from the lender's (the state's) perspective. While the state is entering a reverse repo, the overall transaction is most commonly named a repurchase agreement.

1. Federal Reserve Bank of New York. "Repurchase and Reverse Repurchase Agreements." This official source defines a repo as a transaction where a party sells a security and agrees to buy it back at a later date. It states, "A repurchase agreement... is the sale of a security coupled with an agreement to repurchase the same security at a higher price on a later date." The scenario described fits this definition precisely. (Accessed via the official FRBNY website's educational materials on money markets).

2. Mishkin, F. S. (2018). The Economics of Money, Banking, and Financial Markets (12th ed.). Pearson. In Chapter 12, "The Money Markets," repurchase agreements are defined as short-term collateralized loans where a party, such as a government securities dealer (broker), sells securities with an agreement to repurchase them at a slightly higher price. This directly supports the answer.

3. Government Finance Officers Association (GFOA). (2019). "Best Practice: Use of Repurchase Agreements." GFOA, an authoritative body for government finance, defines the transaction from both sides. It clarifies that when a government entity is the buyer of securities (lending cash), it is a reverse repo. However, the instrument itself is the repurchase agreement, named for the seller's (broker's) action of repurchasing the collateral. (Section: "Definitions").