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Answer: USD 95,702
The bank's expected cash outflow at the end of the repo transaction can be calculated as follows: 1. **Initial Cash Inflow**: When the bank enters the repo agreement, it receives funds based on the notional amount adjusted for the repo haircut and accrued interest. The calculation is: \[ \text{Cash Inflow} = \text{Notional} \times (\text{Bond Price} + \text{Accrued Interest}) \times (1 - \text{Repo Haircut}) \] Substituting the given values: \[ \text{Cash Inflow} = 100,000 \times (98 + 5\% \times 0.25) \times (1 - 5\%) = 94,288 \] 2. **Interest Accrued During Repo**: The repo interest rate is applied to the initial cash inflow over the period of the repo. The calculation for the cash outflow at the end of the repo, considering the interest, is: \[ \text{Cash Outflow} = \text{Cash Inflow} \times (1 + \text{Repo Interest Rate} \times \text{Time Period}) \] Substituting the values: \[ \text{Cash Outflow} = 94,288 \times (1 + 3\% \times 0.5) = 95,702 \] The correct answer is B. USD 95,702, which represents the bank's expected cash outflow at the end of the repo transaction, taking into account the initial cash inflow adjusted for the repo haircut and accrued interest, and the interest that accrues over the repo period.
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A financial institution purchases a bond at a point when it is paying interest. After holding the bond for three months, the institution decides to enter into a repurchase agreement (repo) to quickly generate liquidity. The specific details regarding the bond and the terms of the repurchase agreement are provided in the table below:
| Notional (USD) | Coupon (semi-annual) | Current bond price (USD) | Repo haircut | Repo interest rate |
|---|---|---|---|---|
| 100,000 | 5% | 98 | 5% | 3% |
Taking into consideration that the repurchase agreement spans a term of six months, calculate the projected cash outflow for the financial institution at the end of the repurchase agreement.
A
USD 94,497
B
USD 95,702
C
USD 97,630
D
USD 100,739