
Explanation:
First, we must calculate the value of the bond that will serve as collateral for the repo transaction. In the bond market, standard quotes are clean prices. The value of collateral in a repo, however, is based on the dirty price (Clean Price + Accrued Interest).
1. Calculate the Accrued Interest (AI): The bond was purchased on a coupon date and repo'd 3 months later. Therefore, exactly 3 months of interest have accrued.
2. Calculate the Dirty Price: The clean price of the bond is 98% of the par value.
3. Calculate the Repo Loan Amount: A 5% haircut is applied to the market value (dirty price) of the bond to determine the loan amount the bank receives.
4. Calculate the Expected Cash Outflow: The expected cash outflow at the expiration of the 6-month repo is the repayment of the loan principal plus the interest accrued over the repo term.
Rounded to the nearest dollar, the expected cash outflow is USD 95,702, which corresponds to option B.
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| Notional (USD) | 100,000 |
|---|---|
| Coupon (semi-annual) | 5% |
| Current bond price (USD) | 98 |
| Repo haircut | 5% |
| Repo interest rate | 3% |
If the repo contract expires 6 months from now, what is the bank’s expected cash outflow at the end of the repo transaction?
A
USD 94,497
B
USD 95,702
C
USD 97,630
D
USD 100,739