Learning Module 4: Fixed-Income Markets for Corporate Issuers
Fixed Income
Initial Margin
\[ \text{Initial Margin} = \frac{\text{Security Price}_0}{\text{Purchase Price}_0} \tag{1} \]
- Feature designed to reduce the risk of a collateral shortfall over the contract life
- The feature initial margin is known as the provision of collateral in excess of the cash exchanged
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### Initial Margin
$$
\text{Initial Margin} =
\frac{\text{Security Price}_0}{\text{Purchase Price}_0} \tag{1}
$$
- Feature designed to reduce the risk of a collateral shortfall over the
contract life
- The feature initial margin is known as the provision of collateral in excess
of the cash exchanged Haircut
\[ \text{Haircut} = \frac{\text{Security Price}_0 - \text{Purchase Price}_0} {\text{Security Price}_0} \tag{2} \]
- A 100% initial margin indicates a fully collateralized loan, while a higher margin indicates even greater initial collateral protection. This is alternatively considered a reduction or haircut of the underlying loan relative to the initial collateral value as shown in formula 2
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### Haircut
$$
\text{Haircut} =
\frac{\text{Security Price}_0 - \text{Purchase Price}_0}
{\text{Security Price}_0} \tag{2}
$$
- A 100% initial margin indicates a fully collateralized loan, while a higher
margin indicates even greater initial collateral protection. This is
alternatively considered a reduction or haircut of the underlying loan
relative to the initial collateral value as shown in formula 2 Variation Margin
\[ \text{Variation Margin} = (\text{Initial Margin} \times \text{Purchases price}_t) - \text{Security Price}_t \tag{3} \]
- Repos address collateral value changes by granting contract participants the right to request additional collateral (or release existing collateral) to maintain a security interest equal to the original initial margin terms. This variable margin payment (referred to as variation margin)
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### Variation Margin
$$
\text{Variation Margin} = (\text{Initial Margin} \times
\text{Purchases price}_t) - \text{Security Price}_t \tag{3}
$$
- Repos address collateral value changes by granting contract participants the
right to request additional collateral (or release existing collateral) to
maintain a security interest equal to the original initial margin terms.
This variable margin payment (referred to as variation margin)