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The dual use of the word "duration", as both the weighted average time until repayment and as the percentage change in price, often causes confusion. Strictly speaking, Macaulay duration is the name given to the weighted average time until cash flows are received and is measured in years. Modified duration is the name given to the price ...
The basis of property is generally the property's cost: the amount paid for the property in cash or other property. [2] Holding period refers to the duration of time owned based on the purchase date. [3] Where an asset is purchased, tax basis generally includes cash paid plus liabilities assumed.
Values may change over time, and many states require taxing jurisdictions to redetermine values every three or four years. The value of property is often determined based on current use of the property, rather than potential uses. [25] Property values are determined at a particular valuation date for each jurisdiction, which varies widely.
The present value of the stock in perpetuity (i.e. the sum of present values of all dividend payments) is $209.04. To recover the price paid of $100 must take some time considerably less than till the end of time. That time is between 33 and 34 years: the present value of dividends paid through the 34th year (but not the 33rd) will exceed $100.
For an amortizing loan with equal payments, the WAL will be higher than the duration, as the early payments are weighted towards interest, while the later payments are weighted towards principal, and further, taking present value (in duration) discounts the later payments. Time until 50% of the principal has been repaid WAL is a mean, while "50 ...
The modified Dietz method [1] [2] [3] is a measure of the ex post (i.e. historical) performance of an investment portfolio in the presence of external flows. (External flows are movements of value such as transfers of cash, securities or other instruments in or out of the portfolio, with no equal simultaneous movement of value in the opposite direction, and which are not income from the ...
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Though, there is no uniform tax base that applies to all places. In some countries, property taxes are based on the value of the property depending on market value, site value, rental value. In different countries, taxes are calculated on building area and property area - called unit value. These methods can also be used in combination. [6]