Answer: USD 95,702

The bank's expected cash outflow at the end of the repo transaction is USD 95,702. This is calculated as follows: 1. The bank initially buys a bond with a notional amount of USD 100,000 at a current bond price of USD 98, which means they pay USD 98,000. 2. The bond has a 5% semi-annual coupon. Since the bank buys the bond on its coupon payment date, they are entitled to receive the coupon payment. However, the coupon payment is not directly relevant to the repo transaction's cash outflow. 3. The bank decides to repo the bond to generate immediate liquidity. The repo transaction involves the bank selling the bond to another party (the repo counterparty) and agreeing to repurchase it at a later date (the repo maturity date). 4. The repo haircut is 5%, which means the bank receives only 95% of the bond's market value as cash at the beginning of the repo transaction. The cash inflow at the beginning of the repo is calculated as: \( (100,000) \times (98\% + 5\% \times 0.25) \times (1 - 5\%) = 94,288 \) 5. The repo interest rate is 3%, and the repo contract expires 6 months from now. The cash outflow at the end of the repo transaction is calculated by applying the repo interest rate to the initial cash inflow over the repo period (3 months in this case): \( 94,288 \times (1 + 3\% \times 0.5) = 95,702 \) So, the bank's expected cash outflow at the end of the repo transaction is USD 95,702, which corresponds to option B.

Author: LeetQuiz Editorial Team