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book_n worth_a year_n young_a 19 3 5.8290 4 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A51383 The doctrine of interest, both simple & compound explained in a more exact and satisfactory method then [sic] has hitherto been published : discovering the errors of the ordinary tables of rebate for annuities at simple interest, and containing tables for the interest and rebate of money for days, months, and years, both at simple and compound interest, also tables for the forbearance, discomps, and purchase of annulites : as likewise, equation of payments made practicable and useful for all merchants and others : together with divers other useful reflections / ... Sir S. Morland. Morland, Samuel, Sir, 1625-1695. 1679 (1679) Wing M2778; ESTC R13339 38,468 270

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farthing_n into_o decimal_a fraction_n 3_o the_o interest_n of_o one_o pound_n for_o a_o year_n at_o any_o rate_n of_o simple_a interest_n from_o 1_o to_o 12_o per_fw-la cent._n 4_o the_o interest_n of_o one_o pound_n for_o half_a a_o year_n at_o any_o rate_n of_o simple_a interest_n from_o 1_o to_o 12_o per_fw-la cent._n 5_o the_o interest_n of_o one_o pound_n for_o a_o quarter_n of_o a_o year_n at_o any_o rate_n of_o simple_a interest_n from_o 1_o to_o 12_o per_fw-la cent._n 6_o the_o interest_n of_o one_o pound_n for_o a_o month_n at_o any_o rate_n of_o simple_a interest_n from_o 1_o to_o 12_o per_fw-la cent._n 7_o the_o interest_n of_o one_o pound_n for_o a_o day_n at_o any_o rate_n of_o simple_a interest_n from_o 1_o to_o 12_o per_fw-la cent._n 8._o the_o golden_a table_n of_o trigonal_a progression_n of_o admirable_a use_n in_o all_o calculation_n of_o the_o amount_v or_o present_v worth_a of_o annuity_n etc._n etc._n 9_o the_o number_n of_o day_n from_o the_o begin_n of_o any_o 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short_a but_o very_o significant_a table_n table_n i._o reduction_n of_o shilling_n penny_n and_o farthing_n into_o decimal_a fraction_n shilling_n decimal_n  _fw-fr pence_n decimal_n  _fw-fr  _fw-fr  _fw-fr 11_o .0458333_o 19_o .95_o  _fw-fr 10_o .0416666_o 18_o .9_o  _fw-fr 9_o .0375_o 17_o .85_o  _fw-fr 8_o 03●3333_n 16_o .8_o  _fw-fr 7_o .0291666_o 15_o .75_o  _fw-fr 6_o .025_o 14_o .7_o  _fw-fr 5_o .0208333_o 13_o .65_o  _fw-fr 4_o .0166666_o 12_o .6_o  _fw-fr 3_o .0125_o 11_o .55_o  _fw-fr 2_o .0083333_o 10_o .5_o  _fw-fr 1_o .0041666_o 9_o .45_o  _fw-fr  _fw-fr  _fw-fr 8_o .4_o  _fw-fr farth_n decimal_n 7_o .35_o  _fw-fr  _fw-fr  _fw-fr 6_o .3_o  _fw-fr 3_o .003125_o 5_o .25_o  _fw-fr 2_o .0020833_o 4_o .2_o  _fw-fr 1_o .0010416_o 3_o .15_o  _fw-fr ½_o .0005208_o 2_o .1_o  _fw-fr ¼_n .0002604_o 1_o .05_o  _fw-fr 1_o 8_o .0001302_o table_n ii_o the_o interest_n of_o one_o pound_n for_o one_o year_n from_o 1_o to_o 12_o per_fw-la cent._n rate_n per_fw-la cent._n interest_n 1_o .01_o 2_o .02_o 3_o .03_o 4_o .04_o 5_o .05_o 6_o .06_o 7_o .07_o 8_o .08_o 9_o .09_o 10_o .10_o 11_o .11_o 12_o .12_o table_n iii_o the_o interest_n of_o one_o pound_n for_o one_o half-year_n from_o 1_o to_o 12_o per_fw-la cent._n rate_n per_fw-la cent._n interest_n 1_o .005_o 2_o .01_o 3_o .015_o 4_o .02_o 5_o .025_o 6_o .03_o 7_o .035_o 8_o .04_o 9_o .045_o 10_o .05_o 11_o .055_o 12_o .06_o table_n iv._o the_o interest_n of_o one_o pound_n for_o one_o quarter_n from_o 1_o to_o 12_o per_fw-la cent._n rate_n per_fw-la cent._n interest_n 1_o .0025_o 2_o .005_o 3_o .0075_o 4_o .01_o 5_o .0125_o 6_o .015_o 7_o .0175_o 8_o .02_o 9_o .0225_o 10_o .025_o 11_o .0275_o 12_o .03_o table_n v._o the_o interest_n of_o one_o pound_n for_o one_o month._n from_o 1_o to_o 12_o
the_o doctrine_n of_o interest_n both_z simple_z &_o compound_v explain_v in_o a_o more_o exact_a and_o satisfactory_a method_n than_o have_v hitherto_o be_v publish_v discover_v the_o error_n of_o the_o ordinary_a table_n of_o rebate_v for_o annuity_n at_o simple_a interest_n and_o contain_v table_n for_o the_o interest_n and_o rebate_v of_o money_n for_o day_n month_n and_o year_n both_o at_o simple_a and_o compound_v interest_n also_o table_n for_o the_o forbearance_n discompt_n and_o purchase_v of_o annuity_n as_o likewise_o equation_n of_o payment_n make_v practicable_a and_o useful_a for_o all_o merchant_n and_o other_o together_o with_o divers_a other_o useful_a reflection_n humble_o present_v to_o his_o most_o sacred_a majesty_n charles_n ii_o by_o sir_n s_o morland_n knight_n and_o baronet_n print_a at_o london_n by_o a._n godbid_v and_o j._n playford_n and_o be_v sell_v by_o robert_n boulter_n at_o the_o turks-head_n over_o against_o the_o royal-exchange_n in_o cornhill_n 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and_o diligence_n of_o mr._n john_n playford_n printer_n who_o i_o have_v find_v the_o most_o ingenious_a and_o dexterous_a of_o any_o of_o his_o profession_n in_o print_v of_o table_n and_o all_o sort_n of_o mathematical_a operation_n it_o be_v presume_v that_o there_o will_v hardly_o be_v find_v one_o false_a figure_n but_o if_o there_o shall_v the_o table_n be_v so_o frame_v that_o what_o the_o one_o do_v by_o multiplication_n the_o other_o prove_v by_o division_n &_o vice_fw-la versâ_fw-la whatever_o the_o one_o perform_v by_o division_n the_o other_o make_v out_o by_o multiplication_n to_o be_v a_o truth_n 3._o because_o the_o operation_n according_a to_o the_o rule_n and_o table_n of_o this_o little_a book_n where_o the_o sum_n be_v great_a be_v much_o more_o easy_a practicable_a and_o satisfactory_a than_o by_o mr._n clavel_n table_n beside_o that_o those_o table_n do_v not_o answer_v very_o many_o useful_a question_n that_o will_v daily_o occur_v to_o man_n of_o business_n 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eye_n by_o look_v steadfast_o upon_o figure_n place_v diagonal_o by_o this_o tariffa_n the_o eye_n look_v on_o they_o always_o in_o a_o straight_a line_n and_o no_o otherwise_o for_o example_n suppose_v the_o two_o sum_n to_o be_v multiply_v one_o by_o another_o be_v 259879.890625_o and_o 1.1173698_o but_o the_o product_n to_o consist_v of_o no_o more_o than_o eleven_o place_n tariffa_n for_o the_o multiplicand_a 1_o 259879890625_o 2_o 519759781250_o 3_o 779639671875_o 4_o 1039519562500_o 5_o 1299399453125_o 6_o 1559279343750_o 7_o 1819159234375_o 8_o 2079039125000_o 9_o 2338919015625_o have_v make_v a_o tariffa_n and_o place_v the_o multiplicand_a and_o multiplicator_n as_o be_v before_o direct_v because_o in_o the_o multiplicand_a there_o be_v twelve_o place_n and_o eight_o in_o the_o multiplicator_n in_o all_o twenty_o place_n and_o it_o be_v desire_v to_o contract_v they_o to_o eleven_o place_n first_o let_v a_o line_n be_v draw_v leave_v eight_o place_n to_o the_o right_a hand_n and_o
year_n and_o 349_o day_n allow_v they_o 6_o per_fw-mi cent_z the_o operation_n by_o mr._n clavel_n table_n in_o mr._n clavel_n table_n i_o can_v find_v no_o more_o of_o this_o sum_n at_o one_o time_n than_o 10000_o l._n therefore_o i_o seek_v the_o interest_n of_o that_o and_o find_v the_o interest_n of_o 10000_o l._n the_o odd_a money_n i_o reduce_v into_o decimal_a part_n of_o a_o pound_n by_o the_o decimal_n table_n in_o mr._n russel_n appendix_n to_o mr._n clavel_n thus_o then_o because_o 200000_o be_v twenty_o time_n 10000_o i_o must_v multiply_v this_o fraction_n and_o whole_a number_n by_o 20_o to_o find_v the_o interest_n of_o 200000_o l._n for_o a_o year_n and_o 349_o day_n and_o also_o multiply_v the_o say_v whole_a number_n and_o fraction_n by_o 5_o for_o the_o interest_n of_o 50000_o there_o be_v five_o time_n 10000_o contain_v in_o it_o for_o the_o like_a time_n example_n the_o interest_n of_o the_o remain_a part_n of_o the_o aforesaid_a sum_n viz._n 9879_o l._n 17_o s._n omit_v the_o 9_o d._n 3_o q._n be_v to_o be_v find_v in_o this_o manner_n reduce_v the_o decimal_a fraction_n of_o the_o interest_n of_o 200000_o and_o 50000_o into_o shilling_n and_o penny_n and_o then_o be_v the_o the_o answer_v without_o consider_v the_o interest_n of_o 9_o d._n 3_o q._n which_o be_v not_o to_o be_v find_v by_o mr._n clavel_n table_n be_v 290381_o l._n 19_o s._n 2_o d._n 3_o q._n very_o near_o the_o operation_n according_a to_o the_o rule_n of_o this_o little_a book_n be_v perform_v by_o simple_a addition_n thus_o the_o give_a sum_n reduce_v by_o table_n i._o be_v 259879.890625_o the_o amount_v of_o 1._o l._n for_o 365_o and_o 349_o day_n viz._n 714_o day_n be_v 1.1173698_o tariffa_n for_o the_o multiplicand_a 1_o 259879890625_o 2_o 519759781250_o 3_o 779639671875_o 4_o 1039519562500_o 5_o 1299399453125_o 6_o 1559279343750_o 7_o 1819159234375_o 8_o 2079039125000_o 9_o 2338919015625_o the_o multiplication_n contract_v as_o be_v direct_v in_o the_o introduction_n to_o this_o little_a book_n this_o product_v viz._n 290381_o l._n 18_o s._n 9_o d._n 3_o q._n more_o by_o 86_o 100_o of_o a_o farthing_n be_v the_o answer_n example_n 7._o suppose_v there_o will_v be_v due_a after_o 349_o day_n upon_o the_o several_a branch_n of_o the_o king_n revenue_n the_o sum_n of_o 290381.94139_o l._n or_o 18_o s._n 9_o d._n 3_o q._n more_o by_o 36_o 100_o of_o a_o farthing_n and_o his_o majesty_n have_v occasion_n to_o convert_v this_o into_o ready_a money_n allow_v the_o advancer_n 6_o per_fw-la cent._n what_o be_v the_o present_a worth_n of_o that_o sum_n or_o what_o must_v those_o person_n advance_v in_o ready_a money_n for_o the_o premise_n though_o it_o be_v the_o true_a and_o most_o exact_a way_n of_o all_o other_o to_o calculate_v either_o the_o amount_v or_o present_v worth_a of_o money_n by_o day_n yet_o there_o be_v no_o help_n at_o all_o by_o mr._n clavel_n table_n to_o answer_v this_o question_n but_o by_o this_o little_a book_n the_o rule_n be_v l._n multiply_v the_o give_v sum_n 290381.94139_o by_o the_o present_a worth_n of_o 1_o l._n due_a at_o the_o end_n of_o 349_o day_n which_o you_o will_v find_v in_o table_n fourteen_o .94574_o and_o the_o product_n be_v a_o answer_n to_o the_o question_n tariffa_n for_o the_o multiplicand_a 1_o 29038194139_o 2_o 58076388278_o 3_o 87114582417_o 4_o 116152776556_o 5_o 145190970695_o 6_o 174229164834_o 7_o 203267358973_o 8_o 232305553112_o 9_o 261343747251_o the_o multiplication_n contract_v as_o in_o the_o introduction_n be_v direct_v after_o the_o same_o manner_n be_v resolve_v any_o question_n concern_v either_o the_o amount_v or_o present_a worth_n of_o any_o sum_n either_o for_o year_n month_n or_o day_n the_o next_o thing_n i_o shall_v treat_v of_o be_v annuity_n at_o simple_a interest_n which_o shall_v be_v the_o subject_a of_o the_o follow_a chapter_n chap._n ii_o of_o annuity_n at_o simple_a interest_n the_o increase_n of_o annuity_n be_v by_o multiplication_n of_o the_o respective_a rate_n of_o interest_n according_a to_o a_o trigonal_a progression_n which_o may_v be_v better_o see_v by_o compare_v the_o golden_a table_n of_o trigonal_a progression_n in_o chap._n 1._o with_o the_o follow_a table_n of_o trigonal_a increase_n or_o addition_n of_o 6_o the_o rate_n of_o interest_n per_fw-la cent._n and_o after_o it_o short_a rule_n which_o will_v hold_v for_o find_v the_o amount_v or_o present_a worth_n of_o any_o annuity_n for_o any_o number_n of_o year_n at_o any_o rate_n of_o simple_a interest_n whatsoever_o table_n the_o multiplication_n of_o any_o rate_n of_o interest_n whatsoever_o belong_v to_o each_o year_n for_o a_o forbear_v annuity_n to_o 100_o year_n this_o table_n be_v compose_v from_o the_o golden_a trigonal_a table_n year_n a_o trigonal_a increase_n or_o addition_n of_o rate_n of_o interest_n 1_o 0_o 2_o 1_o 3_o 3_o 4_o 6_o 5_o 10_o 6_o 15_o 7_o 21_o 8_o 28_o 9_o 36_o 10_o 45_o 11_o 55_o 12_o 66_o 13_o 78_o 14_o 91_o 15_o 105_o 16_o 120_o year_n a_o trigonal_a increase_n or_o addition_n of_o rate_n of_o interest_n 17_o 136_o 18_o 153_o 19_o 171_o 20_o 190_o 21_o 210_o 22_o 231_o 23_o 253_o 24_o 276_o 25_o 300_o 26_o 325_o 27_o 351_o 28_o 378_o 29_o 406_o 30_o 435_o 31_o 465_o 32_o 496_o 33_o 528_o 34_o 561_o 35_o 595_o 36_o 630_o 37_o 666_o 38_o 703_o 39_o 741_o 40_o 780_o 41_o 820_o 42_o 861_o 43_o 903_o 44_o 946_o 45_o 990_o 46_o 1035_o 47_o 1081_o 48_o 1128_o 49_o 1176_o 50_o 1225_o year_n a_o trigonal_a increase_n or_o addition_n of_o rate_n of_o interest_n 51_o 1275_o 52_o 1326_o 53_o 1378_o 54_o 1431_o 55_o 1485_o 56_o 1540_o 57_o 1596_o 58_o 1653_o 59_o 1711_o 60_o 1770_o 61_o 1830_o 62_o 1891_o 63_o 1953_o 64_o 2016_o 65_o 2080_o 66_o 2145_o 67_o 2211_o 68_o 2278_o 69_o 2346_o 70_o 2415_o 71_o 2485_o 72_o 2556_o 73_o 2628_o 74_o 2701_o 75_o 2775_o 76_o 2850_o 77_o 2926_o 78_o 3003_o 79_o 3081_o 80_o 3160_o 81_o 3240_o 82_o 3321_o 83_o 3403_o 84_o 3486_o year_n a_o trigonal_a increase_n or_o addition_n of_o rate_n of_o interest_n 85_o 3570_o 86_o 3655_o 87_o 3741_o 88_o 3828_o 89_o 3916_o 90_o 4005_o 91_o 4095_o 92_o 4186_o 93_o 4278_o 94_o 4371_o 95_o 4465_o 96_o 4560_o 97_o 4656_o 98_o 4753_o 99_o 4851_o 100_o 4950_o prop._n i._n to_o find_v the_o amount_v of_o any_o annuity_n for_o any_o give_v time_n and_o at_o any_o rate_n of_o simple_a interest_n general_n rule_n to_o the_o sum_n of_o the_o annual_a half-year_o quarterly_o or_o monthly_a payment_n add_v the_o product_n of_o the_o annual_a half-year_o quarterly_o of_o monthly_a rate_n multiply_v by_o the_o number_n in_o the_o forego_n table_n answer_v to_o the_o number_n of_o year_n half-year_n quarter_n or_o month_n in_o the_o margin_n that_o the_o annuity_n be_v to_o continue_v and_o the_o total_a sum_n be_v the_o true_a amount_v of_o that_o annuity_n example_n 1._o what_o be_v the_o true_a amount_v of_o a_o annuity_n of_o 100_o l._n in_o five_o year_n the_o number_n in_o the_o forego_n table_n answer_v to_o 5_o in_o the_o margin_n be_v 10_o that_o multiply_v by_o 6_o the_o annual_a interest_n of_o 100_o l._n make_v 60_o to_o which_o add_v the_o five_o annual_a payment_n viz._n 500_o the_o whole_a amount_v be_v 560_o example_n 2._o what_o be_v the_o amount_v of_o a_o annuity_n of_o 62_o l._n in_o four_o year_n the_o number_n in_o the_o forego_n table_n answer_v to_o 4_o in_o the_o margin_n be_v 6_o that_o multiply_v by_o 3.72_o the_o annual_a interest_n of_o 62_o l._n make_v 22.32_o to_o which_o add_v the_o 4_o annual_a payment_n viz._n 4_o time_n 62_o l._n 248.00_o the_o whole_a amount_v be_v 270.32_o prop._n ii_o to_o know_v the_o present_a worth_n of_o any_o annuity_n for_o any_o give_v time_n at_o any_o rate_n account_v simple_a interest_n for_o as_o much_o as_o the_o present_a worth_n of_o a_o annuity_n be_v in_o effect_n and_o must_v be_v imagine_v a_o principal_a and_o the_o whole_a amount_v of_o the_o annuity_n as_o the_o amount_v of_o the_o say_v principal_a or_o present_a worth_n in_o so_o long_a a_o time_n as_o the_o annuity_n be_v continue_v the_o proportion_n be_v as_o the_o amount_v of_o 1_o l._n for_o any_o time_n be_v to_o 1_o l._n so_o be_v the_o amount_v of_o a_o annuity_n to_o the_o present_a worth_n therefore_o the_o rule_n be_v divide_v the_o amount_v of_o the_o annuity_n by_o the_o amount_v of_o 1_o l._n in_o the_o give_v time_n and_o the_o quotient_n be_v a_o answer_n example_n 1._o what_o be_v the_o present_a worth_n of_o a_o annuity_n of_o 62_o l._n for_o four_o year_n the_o amount_v of_o 62_o l._n per_fw-la annum_fw-la for_o four_o year_n by_o the_o forego_n rule_n be_v find_v to_o be_v 270.32_o and_o the_o amount_v of_o 1_o l._n forbear_v four_o year_n