TABLES 
EXPLANATION OF TABLE 33 
AMORTIZATION OR DEPRECIATION AND REMAINING OR PRESENT VALUE 
Table 33 is an amortization table or a set of tables computed 
for the interest rates 4 per cent to 7 per cent per annum and for 
all terms of indebtedness, terms of bonds or probable life terms 
of perishable articles, from 2 to 75 years, which are likely to come 
under consideration. 
By adding to this table headings at the bottom of the columns 
it has also been made convenient for use as a depreciation table. 
Care must be taken in its use to preserve the distinction indicated 
by the top and bottom headings and not to assume that the 
years of expectancy in the last column apply to the age or number 
of years noted in the first column. 
All values noted in this table are referred to $100 as the basic 
amount in order that the figures in the table may be used as 
percentages when so desired. 
The table has been computed by the use of the following 
formule which may be used when values are to be ascertained 
for interest rates or terms not covered by the table. 
Let a, be the amortization installment which must be in- 
vested annually in order to amount at compound interest 
to $100 in 7 years. 
Let 7 be the interest rate expressed decimally (thus o.05 for 
5 per cent). 
Let A, be the accrued amortization in 7 years when the 
annual amortization installment is @, and the interest 
rate is s. 
Let m be any number of years. 
Let n represent the amortization term expressed in years. 
Let a, be the current amortization in the mth year, i.e., the 
amortization increment a, plus interest on the amortiza- 
tion fund already accumulated. 
Let ¢ be the remaining years of usefulness of any article 
whose probable life new is # years. 
= 453