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If these circles were put on a balance beam, the fulcrum (balanced center) of the beam would represent the weighted average distance (time to payment), which is 1.78 years in this case. For most practical calculations, the Macaulay duration is calculated using the yield to maturity to calculate the ():
On a 30-year amortizing loan, paying equal amounts monthly, one has the following WALs, for the given annual interest rates (and corresponding monthly payments per $100,000 principal balance, calculated via an amortization calculator and the formulas below relating amortized payments, total interest, and WAL):
For example, the payment on the above scenario will remain $733.76 regardless of whether the outstanding (unpaid) principal balance is $100,000 or $50,000. Paying down more than the monthly contractual amount reduces the amount outstanding and thus the interest that is payable to the lender; if the contractual monthly payment stays the same ...
Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of diversification in investing, the idea that owning different kinds of financial assets is less risky than owning ...
Since monthly loan payments are the same for both methods and since the investor is being paid for an additional 5 or 6 days of interest with the Actual/360 year base, the loan's principal is reduced at a slightly lower rate. This leaves the loan balance 1-2% higher than a 30/360 10-year loan with the same payment.
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).
Repricing risks arise from timing differences in the maturity for fixed-rate and repricing for floating-rate bank assets, liabilities and off-balance-sheet positions. [3] Any instance of an interest rate being reset—either due to maturities or floating interest rate resets—is called a repricing. The date on which it occurs is called the ...
Here various adjustments to the balance sheet book value may be required; [1] see Clean surplus accounting. More typically, the company is assumed to achieve maturity or "constant growth", at time , and the below formulae are applied instead. [2] (Note that the value will remain identical: the adjustment is a "telescoping" device).