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In most countries, FI’s report their balance sheets using _________ accounting
Book Value
Type of accounting used to reflect current market conditions
Market value accounting, marking to market
In general, the longer the term to maturity, the ________ the sensitivity to the interest rate changes
greater
The longer maturity bond has the greater drop in price because the payment is discounted a _______ number of times
greater
Duration equals the bond’s ______ since there are no intervening cash flows bewteen issue and maturity
maturity
For all other bonds, duration is _______ than maturity because there are intervening cash flows between issue and maturity
smaller
Consol bond
Bond that pays a fixed coupon each year indefinitely (not issued in the USA)
The maturity of a consol bond is _____
Infinity
Duration of a consol
D = 1 + 1/r
Duration ________ with maturity of a fixed-income asset/liability, but at a _________ rate
increases, decreasing
Duration ________ as yield ________
decreases, increases
Duration ________ as coupon __________
decreases, increases
Dollar value change in the price of a security to a 1 percent change in the return on the security
Dollar duration = MD x Price
Change in price
ΔP = -Dollar duration x ΔR
Duration Gap
Measure of the interest rate risk exposure for an FI
Change in Equity (ΔE)
ΔE = ΔA - ΔL
Difficulties in applying the duration model
Duration Matching can be costly
Immunization is a Dynamic Problem
Large Interest Rate Changes and Convexity
Convexity
The degree of curvature of the price-yield curve around some interest-rate level
Duration
Weighted-average time to maturity using the relative present values of the cash flows as weights
If durations of liabilities and assets are not matched, then
There is a risk that adverse changes in the interest rate will increase the present value of the liabilities more than the present value of assets is increased
Convexity is desirable, but greater convexity causes __________ in the duration-based estimate of price changes
larger errors