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October 17, 2011 (Regular Meeting) Page 750 <br />rate necessary to attract capital to the investment. <br />IDENTIFY METHOD OF DEPRECIATION <br />The wearing out and /or obsolescence of the improvements is reflected in the <br />projected holding period or in the remaining life of which enables the <br />investor to recoup or recapture his initial capital investment while also <br />receiving a return on his capital. <br />Every method of providing for capital recovery can be expressed in the form <br />of a sinking fund. A specific sum is to be recovered over a specific period <br />of time. Periodic annual payments are made as part of NOI to cumulate to the <br />full amount of capital to be recovered by the end of the capital recovered <br />period. <br />There are basically two methods of providing for capital recovery each with <br />specific assumptions as to the risk, timing, and stability of the net income <br />stream. <br />STRAIGHT -LINE CAPITAL RECOVERY <br />This method consists of recovery by equal annual payments to a sinking fund <br />which cumulate at zero compound interest. Each successive payment reduces <br />the amount of investment remaining; each successive income payment also <br />declines. A declining dollar return from the investment is therefore <br />forecast. Capital recovery payments are the largest under this method. <br />The rate determined by dividing the amount of capital loss to be recovered <br />(100 %) by the number of years of remaining ECONOMIC LIFE. <br />For example: remaining Economic Life of Improvement - 25 years <br />100 % /25 = 1.00/25 = .04% <br />Value of Improvements: $100,000 <br />Annual portion of NOI required to cover capital recovery: $100,000 x .04 = $4,000 <br />The forecast loss of 100% of the improvements is fully recovered over the <br />Remaining Economic Life of the improvements. Hence, straight -line capital <br />recovery always results in a lower estimate of present worth or value than <br />does any other method. Straight -line capital recovery is widely held <br />applicable to nearly all income flows that are not based on a long -term lease <br />with a highly rated tenant. <br />LEVEL ANNUITY CAPITAL RECOVERY <br />This method can be described as equal annual payments to a sinking fund which <br />are reinvested by the investor to cumulate at compound interest at the <br />Discount Rate. The amount of capital recovery payments is relatively small <br />compared to the straight -line method. As a result the portion of NOI <br />available each year as a return on the investment is larger. <br />The rate is calculated using the compound interest table or in the case of <br />PASCO the capital recovery rate is internally computed saving the property <br />appraiser from having to compute the figures manually or have on hand volumes <br />of financial tables. <br />The Sinking Fund Factor Formula is included here solely for reference <br />purposes: <br />1 1SN = i/ (1 +i) nl <br />where <br />1 = The number one <br />i = The discount rate (also the rate at which capital recovery payments are compounded). <br />n = The number of compounding periods (usually the remaining economic life). <br />1 /sn = The Capital Recovery Rate <br />Annuity Capital Recovery can be applied to those properties that have a <br />relatively stable income producing capability. By calculating the necessary <br />factors internally, PASCO saves the appraiser from many of the "mechanical" <br />steps which would otherwise be necessary. <br />The preceding discussion has detailed how the net operating income is derived <br />and also the various components of the Capitalization Rate. A Capitalization <br />Rate can be derived arithmetically by adding together the discount rate and <br />