Definition of Negative duration

Negative duration

A situation in which the price of the MBS moves in the same direction as interest rates.

Dollar duration

The product of modified duration and the initial price.

Duration

A common gauge of the price sensitivity of an asset or portfolio to a change in interest rates.

Effective duration

The duration calculated using the approximate duration formula for a bond with an
embedded option, reflecting the expected change in the cash flow caused by the option. Measures the
responsiveness of a bond's price taking into account the expected cash flows will change as interest rates
change due to the embedded option.

Macaulay duration

The weighted-average term to maturity of the cash flows from the bond, where the
weights are the present value of the cash flow divided by the price.

Modified duration

The ratio of Macaulay duration to (1 + y), where y = the bond yield. Modified duration is
inversely related to the approximate percentage change in price for a given change in yield.

Mortgage duration

A modification of standard duration to account for the impact on duration of MBSs of
changes in prepayment speed resulting from changes in interest rates. Two factors are employed: one that
reflects the impact of changes in prepayment speed or price.

Negative amortization

A loan repayment schedule in which the outstanding principal balance of the loan
increases, rather than amortizing, because the scheduled monthly payments do not cover the full amount
required to amortize the loan. The unpaid interest is added to the outstanding principal, to be repaid later.

Negative carry

Related: net financing cost

Negative convexity

A bond characteristic such that the price appreciation will be less than the price
depreciation for a large change in yield of a given number of basis points.

Negative covenant

A bond covenant that limits or prohibits altogether certain actions unless the bondholders agree.

Negative pledge clause

A bond covenant that requires the borrower to grant lenders a lien equivalent to any
liens that may be granted in the future to any other currently unsecured lenders.

negative cash flow

The cash flow from the operating activities of a business
can be negative, which means that its cash balance decreased from
its sales and expense activities during the period. When a business is
operating at a loss instead of making a profit, its cash outflows for
expenses very likely may be more than its cash inflow from sales. Even
when a business makes a profit for the period, its cash inflow from sales
could be considerably less than the sales revenue recorded for the
period, thus causing a negative cash flow for the period. Caution: This
term also is used for certain types of investments in which the net cash
flow from all sources and uses is negative. For example, investors in
rental real estate properties often use the term to mean that the cash
inflow from rental income is less than all cash outflows during the
period, including payments on the mortgage loan on the property.

Duration

The weighted average of the time until maturity of each of the
expected cash flows of a debt security

Duration

The expected life of a fixed-income security considering its coupon
yield, interest payments, maturity, and call features. As market interest rates
rise, the duration of a financial instrument decreases. See Macaulay duration.

Macaulay duration

A widely used measure of price sensitivity to yield
changes developed by Frederick Macaulay in 1938. It is measured in years and
is a weighted average-time-to-maturity of an instrument. The Macaulay
duration of an income stream, such as a coupon bond, measures how long, on
average, the owner waits before receiving a payment. It is the weighted
average of the times payments are made, with the weights at time T equal to
the present value of the money received at time T.

Modified duration

The Macaulay duration discounted by the per-period
interest rate; i.e., divided by (1+rate/frequency).

Negative goodwill

A term used to describe a situation in which a business combination
results in the fair market value of all assets purchased being more than the purchase
price.

Negative Loan Covenants

Loan covenants designed to limit a corporate borrower's behavior
in favor of the lender.

Duration

The time it takes for a policy or annuity to reach maturity.

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