
Explanation:
First, calculate the market value (dirty price) of the bond at the time of the repo transaction. The bank held the bond for 3 months since the last coupon payment. The semi-annual coupon rate is 5% annually, meaning 2.5% every 6 months.
$100,000 \times 0.98 = USD 98,000$$100,000 \times 5% \times (3/12) = USD 1,250$$98,000 + 1,250 = USD 99,250$Next, calculate the loan amount after applying the haircut:
$99,250 \times (1 - 0.05) = USD 94,287.5$Finally, compute the repayment amount at the end of the 6-month repo:
$94,287.5 \times 3% \times (6/12) = USD 1,414.31$$94,287.5 + 1,414.31 = USD 95,701.81$This amount rounds to USD 95,702, which matches Option B.
Ultimate access to all questions.
| 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
No comments yet.