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The average duration of the bonds in the portfolio is often reported. The duration of a portfolio equals the weighted average maturity of all of the cash flows in the portfolio. If each bond has the same yield to maturity, this equals the weighted average of the portfolio's bond's durations, with weights proportional to the bond prices. [1]
Bond duration Bond duration is the weighted-average time to receive the discounted present values of all the cash flows (including both principal and interest), while WAL is the weighted-average time to receive simply the principal payments (not including interest, and not discounting). For an amortizing loan with equal payments, the WAL will ...
Formally, the duration gap is the difference between the duration - i.e. the average maturity - of assets and liabilities held by a financial entity. [3] A related approach is to see the "duration gap" as the difference in the price sensitivity of interest-yielding assets and the price sensitivity of liabilities (of the organization) to a change in market interest rates (yields).
Date of purchase. Time to maturity. January – October 1980. 11 years. November 1980 – April 1981. 9 years. May 1981 – October 1982. 8 years. November 1982 – October 1986
To address this, an effective convexity must be calculated numerically. [18] Effective convexity is a discrete approximation of the second derivative of the bond's value as a function of the interest rate: [ 18 ]
While compact, effective duration only measures the effect of a parallel shift in the yield curve across all maturities. It does not take into effect other risk factors, such as non-parallel yield curve shifts, convexity, option-adjusted spreads, and others. However, effective duration may suffice for many managers as a basic risk measure.
where: P is the principal amount borrowed, A is the periodic amortization payment, r is the periodic interest rate divided by 100 (nominal annual interest rate also divided by 12 in case of monthly installments), and n is the total number of payments (for a 30-year loan with monthly payments n = 30 × 12 = 360).
Due to their fixed terms and low deposit requirements, CDs can offer significantly higher interest rates when compared to traditional savings and checking accounts — up to 10 times more than the ...