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WAL should not be confused with the following distinct concepts: 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).
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]
In the calculation each loan's size is in proportion to its aggregate total of the pool. [2] The measure are often used by organisations buying or selling securitized mortgages, like Fannie Mae in the United States. It helps investors estimate the amount of time before the whole pool is repaid.
where is the maturity of the longest transaction in the portfolio, is the future value of one unit of the base currency invested today at the prevailing interest rate for maturity , is the loss given default, is the time of default, () is the exposure at time , and (,) is the risk neutral probability of counterparty default between times and .
MedICT has chosen the perpetuity growth model to calculate the value of cash flows beyond the forecast period. They estimate that they will grow at about 6% for the rest of these years (this is extremely prudent given that they grew by 78% in year 5), and they assume a forward discount rate of 15% for beyond year 5. The terminal value is hence:
The present value formula is the core formula for the time value of money; each of the other formulas is derived from this formula. For example, the annuity formula is the sum of a series of present value calculations. The present value (PV) formula has four variables, each of which can be solved for by numerical methods:
The formula to calculate the interest is given as under = (+) = (+) where I is the interest, n is time in months, r is the rate of interest per annum, and P is the monthly deposit. [ 4 ] The formula to calculate the maturity amount is as follows: Total sum deposited+Interest on it = P ( n ) + I {\displaystyle ={P(n)}+I} = P ∗ n [ 1 + ( n + 1 ...
The need for day count conventions is a direct consequence of interest-earning investments. Different conventions were developed to address often conflicting requirements, including ease of calculation, constancy of time period (day, month, or year) and the needs of the accounting department.