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[]
[null,{"$error":"#VALUE!"},null,null,null,null,null,null,"Copyright © 2026 by the Society of Actuaries Research Institute. All rights reserved."]
[null,"MIM-2026 Application Tool"]
[null,"Mortality Improvement Model"]
[]
[null,"Disclaimer"]
[]
[null,"This software is made available free of charge with the understanding that neither the author nor the Society of Actuaries Research Institute "]
[null,"accepts any liability for its use. It may be used for any personal, research or commercial use provided that the user does not represent it as"]
[null,"his or her own work and does not distribute it to others for a fee."]
[null,""]

{"sheet":"Contents","index":1,"n_rows":52,"n_cols":17,"rows_kept":52,"cut":false,"hidden":false,"merged":[]}
[]
[null,"A Tool for Projecting Mortality Trends Forward in Time",null,null,null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"VBA Macros"]
[null,"Using mortality data from Social Security Administration (SSA) and the National Center for Health Statistics (NCHS), ",null,null,null,null,null,null,null,null,null,null,null,null,null,"This tool uses VBA macros. Your operating system may automatically deactivate these macros."]
[null,"this tool facilitates the projection of mortality rate trends. This tool contains both national-level data for the U.S. as ",null,null,null,null,null,null,null,null,null,null,null,null,null,"To activate them, first copy the file to your local hard-drive, and then, in Windows Explorer, "]
[null,"a whole, as well as national-level data that has been subdivided into socioeconomic quintiles and deciles.",null,null,null,null,null,null,null,null,null,null,null,null,null,"right-click on the file name, and then click \"Properties\". Lastly, check the \"unblock\" box."]
[]
[null,"Tab",null,"Description",null,null,null,null,null,null,null,null,null,null,null,"Workbook Settings"]
[null,1,null,"A tool for developing a mortality projection scale based on SSA or NCHS data",null,null,null,null,null,null,null,null,null,null,null,"No"," Hide Excel ribbon to create larger viewing window"]
[null,2,null,"A heat map of the results produced on tab 1",null,null,null,null,null,null,null,null,null,null,null,100," Select the zoom % that you wish to apply across all worksheets"]
[null,3,null,"A dynamic graph of the results produced on tab 1"]
[null,4,null,"Unsmoothed mortality rates from 1982 through 2023"]
[null,5,null,"Mortality rates from 1982 to 2019, smoothed by both age and year using Whittaker-Hendersen order 2 smoothing"]
[null,6,null,"Mortality rates from 1982 to 2019, smoothed by both age and year using Whittaker-Hendersen order 3 smoothing"]
[null,7,null,"A tool for graphing the historical mortality rate data on tabs 4, 5 and 6"]
[]
[null,"This workbook includes three datasets:"]
[]
[null,"Data",null,"Description"]
[]
[null,"SSA",null,"national-level mortality rates from the SSA; these rates are used in the MP-XXXX calculations"]
[null,"NCHS-q",null,"NCHS mortality data segmented into socioeconomic quintiles by ranking counties using data from the 2000 Census"]
[null,"NCHS-d",null,"NCHS mortality data segmented into socioeconomic deciles by ranking counties using data from the 2000 Census"]
[]
[null,"Each of these datasets is available in three forms:"]
[]
[null,1,"Unsmoothed",null,null,null,null,null,null,"While the unsmoothed data is included in this tool for sake of completeness,"]
[null,2,"Smoothed with order 2 Whittaker-Hendersen",null,null,null,null,null,null,"MIM does not permit the use of this data for generating a projection. Rather, "]
[null,3,"Smoothed with order 3 Whittaker-Henderon",null,null,null,null,null,null,"only the smoothed data feeds into the projection process."]
[]
[null,"Throughout this workbook, order 2 smoothed data is referred to as \"o2\" and the order 3 smoothed data is referred to as \"o3\"."]
[null,"Note that prior to releasing their data, the SSA performs a 1D smoothing process by age (separately, for each year, the data is "]
[null,"smoothed by age). Therefore, the \"unsmoothed\" SSA data included in this workbook is best described as partially smoothed --"]
[null,"it has been smoothed by the SSA's 1D process, but has not been smoothed by the SOA's 2D process (which smooths the data"]
[null,"both by age and by year)."]
[]
[null,"Presently, post-pandemic data is too limited to support reliable trend estimates. Therefore, the 2020-to-2023 data"]
[null,"excluded from the smoothing process. Consequently, the final year of smoothed data remains 2019, consistent with"]
[null,"prior versions of MIM."]
[]
[null,"The NCHS Datasets"]
[]
[null,"The NCHS datasets used in this workbook were developed by Magali Barbieri, PhD, of the University of California-Berkeley."]
[null,"To develop the datasets, Dr. Barbieri used county-level mortality data from the NCHS, combined with socioeconomic data"]
[null,"from the United States Census. A report written by Dr. Barbieri -- describing the methodology underpinning the datasets --"]
[null,"is available on the Society of Actuaries' website:"]
[]
[null,null,"Dr. Barbieri's research report, describing the development of decile and quintile datasets using NCHS mortality data:"]
[null,null,"https://www.soa.org/resources/research-reports/2025/us-mortrate-socioeconomic/"]
[]
[null,"Lastly, when using the decile data in this tool, note that the lowest socioeconomic decile is labeled as \"1\", while the highest (i.e. most affluent) is labeled \"10\"."]
[null,"Similarly, the lowest socioeconcomic quintile is labeled \"1\", while the highest is labeled \"5\"."]

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[]
[null,"Projection Scales",null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,"Do not alter the data below"]
[]
[null,null,null,"MP-2021",null,null,"O2-2021",null,null,"MP-2021 & O2-2021",null,null,"Life & Annuity"]
[null,null,null,"Order 3 Smoothing",null,null,"Order 2 Smoothing"]
[null,null,null,"Time Point A",null,null,"Time Point A",null,null,"Time Point B",null,null,"Time Point B"]
[null,null,null,"F","M",null,"F","M",null,"F","M",null,"F","M"]
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[null,110,null,8.1350562554666217E-4,1.1940888743487699E-3,null,9.0510669488078066E-4,1.5806869779215194E-3,null,9.9999999999999872E-4,9.9999999999999872E-4,null,7.5000000000000067E-4,7.5000000000000067E-4]
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{"sheet":"Readme","index":3,"n_rows":16,"n_cols":16,"rows_kept":16,"cut":false,"hidden":false,"merged":[]}
[]
[null,"General Guidance for Using this Tool",null,null,null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[]
[null,"When you first open this file, and are prompted by Excel to \"Enable Content\" and/or \"Enable Macros\", you must indicate \"yes\"; otherwise, the tool will not be able to function."]
[]
[null,"Throughout this Excel file, parameters that can be changed by the user are identified with yellow background, as follows:",null,null,null,null,null,null,null,null,null,null,null,null,null,0.05]
[]
[null,"Some inputs -- such as those on tab 1 in columns AL through AU -- can either be calcuated by the model, or set manually be the user. These input ranges also have a yellow background."]
[]
[null,"For the NCHS decile data, the lowest socioeconomic decile is labeled as \"1\", while the highest (i.e. most affluent) is labeled \"10\"."]
[]
[null,"Similarly, the lowest socioeconcomic quintile is labeled \"1\", while the highest is labeled \"5\"."]
[]
[null,"Each decile reflects data from roughly 30 million lives, while each quintile reflects data from roughly 60 million lives."]
[]
[null,"The NCHS \"Total\" datasets are all deciles or quintiles combined; in other words, they are national-level datasets."]

{"sheet":"Schematic","index":4,"n_rows":3,"n_cols":16,"rows_kept":3,"cut":false,"hidden":false,"merged":[[27,2,28,18]]}
[]
[null,"A Schematic Diagram Illustrating How to Use the Model's Interface",null,null,null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,"This tab is not part of the model's interface; rather, it is a visualization of how to navigate through the model's interface."]

{"sheet":"1. Model","index":5,"n_rows":124,"n_cols":188,"rows_kept":124,"cut":false,"hidden":false,"merged":[[20,49,21,57],[20,58,21,66],[11,68,14,71],[18,16,23,21],[21,41,21,42],[21,43,21,44],[21,45,21,46],[21,69,21,70],[19,43,19,46],[20,69,20,70],[20,43,20,44],[20,45,20,46],[11,16,14,21],[21,39,21,40],[19,37,19,42],[11,23,15,26],[20,41,20,42],[31,4,37,14],[30,16,35,21],[23,23,26,26],[21,37,21,38],[11,28,15,34],[38,4,40,14],[26,17,27,17],[20,37,20,38],[20,39,20,40]]}
[]
[null,"Create a Mortality Improvement Scale",null," Zoom %",100,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[]
[null,"To create an improvement scale, follow the steps below, from left to right. "]
[null,"Cells with a yellow background indicate parameters that they can be adjusted by the user."]
[]
[]
[]
[null,"Step 1",null,null,"Step 2",null,null,null,null,null,null,null,null,null,null,null,"Step 3",null,null,null,null,null,null,"Step 4a",null,null,null,null,"Step 4b",null,null,null,null,null,null,null,"Step 4c",null,null,null,null,null,null,null,null,null,null,null,"Step 5",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Step 6",null,null,null,null,"Step 7",null,null,"Results Produced by the Model"]
[null,"Select Methodology for Entering the Required Parameters",null,null,"Select the Dataset from which Improvement Rates will be Calculated",null,null,null,null,null,null,null,null,null,null,null,"Specify the Interpolation structure",null,null,null,null,null,null,"Determine Improvement rates at Time Point \"A\" (the \"jumping off\" point)",null,null,null,null,"Determine Improvement Rates at Time Points \"B\" and \"D\"",null,null,null,null,null,null,null,"Using the Parameters specified in Steps 4a and 4b, Calculate Improvement Rates at Key Time Points",null,null,null,null,null,null,null,null,null,null,null,"Optional Parameters for Modeling the Impact of COVID-19 or Some Other Shock",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Optional Base Year Mortality Table",null,null,null,null,"Select and Produce Outputs"]
[]
[null,"Options 1 and 2 below reproduce the two RPEC mortality improvement scales, MP-2021 and O2-2021,",null,null,1," Dataset for determining rates of mortality improvement",null,null,null,null,null,null,null,null,null,null,"MIM creates an improvement rate scale by interpolating between sets of improvement rates that are associated with different points in time. Under the \"basic\" approach, MIM interpolates between time points A and B. Under the \"advanced\" approach, points C and D are added, providing an additional flexibility.",null,null,null,null,null,null,"Improvement rates at time point \"A\" are calculated from data by MIM. The user may choose the historical period used to calculated these rates. Typically, the end point of this period is set equal to time point A (the value in cell R27), and the starting point is set equal to one year earlier. For example, if time point A is 2017, then the historical period would run from 2016 to 2017. However, the user has the freedom to deviate from this approach if they wish to.",null,null,null,null,"Improvement rates at future time points B (and D when using advanced interpolation) can be set manually, using professional judgement, or calculated by equating future long-term improvement rates with historical long-term improvement rates calculated by MIM. Using the parameters below, you may specify the historical period across which long-term improvement rates will be calculated.",null,null,null,null,null,null,null,"In step 4c, improvement rates at key time points are calculated using the parameters specified in steps 4a and 4b.",null,null,null,null,null,null,null,null,null,null,null,null,"These parameters are applied after the calculation of base mortality improvement rates.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The primary objective of MIM is to produce a mortality improvement scale. However, if you wish, you may output mortality rates or expected lifetimes as opposed to improvement rates. By default, the model will use the data set selected in step 2 as the source of base year mortality rates. If you wish to use a different base table, then use the parameters below for this purpose.",null,null,null,null,"Use the parameters below to specify the type of output you wish to produce."]
[null,"respectively. Option 3 is a new set of preselected required parameters that could be used as a ",null,null,null,"1 = SSA (national-level)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"You must run this step (by pressing the button below) after making any parameter changes in steps 2, 4a, or 4b.",null,null,null,null,null,null,null,null,null,null,null,null,"Postive 10% means that the shock leads to a 10% increase in mortality rates.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"After setting the parameters, press \"Run the Model\""]
[null,"starting point for subsequent review and modification. Option 4 requires the user to enter each",null,null,null,"2 = NCHS, national-level  (no quintiles or deciles; rather, all data merged together)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"After pressing the button, please review the results and make any adjustments that, in your professional judgement, are needed.",null,null,null,null,null,null,null,null,null,null,null,null,"A value of 0% means that the shock has no effect."]
[null,"required parameter individually. Enter your selection in cell B17 and then click the blue button.",null,null,null,"3 = NCHS, quintiles ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Note, however, that step 4c is not necessary if your intention is to use a preselected assumption set (which can be loaded via step 1).",null,null,null,null,null,null,null,null,null,null,null,null,"If you leave a cell blank, it will be interpreted as 0%.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1983,"Enter the first year for which you wish to produce output"]
[null,null,null,null,null,"4 = NCHS, deciles",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2037,"Enter the last year for which you wish to produce output"]
[null,1," Select the desired methodology from the list below and then press the button (below the list)",null,null,null,null,null,null,null,null,null,null,null,null,null,"Basic"," Select interpolation structure",null,null,null,null,null,null,null,null,null,null,1," Select your approach for setting long-term improvement rates",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"No"," Activate the optional parameter matrix below?",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use the table below?","No",null,null,4,"Round outputs to this many decimals"]
[null,null,"1 = populate with the MP-2021 assumption set",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Historical Period Across Which to Compute Improvement Rates and Slopes at Time Point A",null,null,null,null,null,"1 = set rates at time point B manually, using professional judgement",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," (when this parameter is set to \"No\", the model assumes that no shock is modeled, which is equivalent to setting all of the parameters below to 0%)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"Select form of output:"]
[null,null,"2 = populate with the O2-2021 assumption set",null,null,null,null,null,null,null,null,null,null,null,null,null,"Time point \"A\" is in the recent past and is referred to as the \"jumping off\" point. The improvement rates at time point \"A\" are calculated from historical data. Time points B, C and D are in the future. The improvement rates at these future time points may be determined by expert judgement or may be set equal to historical long-term averages calculated by MIM.",null,null,null,null,null,null,null,"Start","End",null,null,null,"2 = use historical data to set rates at time point B",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Base year",1983,null,null,null,"1 = annual rates of mortality improvement"]
[null,null,"3 = populate with Individual life and individual/group annuity",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For setting improvement rates at time point A",2016,2017,null,null,null,null,null,null,null,null,null,null,null,"Rates of Mortality Improvement",null,null,null,null,null,"Slope of Improvement Rates in Year A",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2 = historical and projected mortality rates",null,null," ANNUAL RATES OF MORTALITY IMPROVEMENT"]
[null,null,"4 = I would like to start with a blank slate -- that is, I will fill in all of the parameters myself",null,"Weight Placed on Each Quintile or Decile of NCHS Data (for options 3 and 4 above)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For setting slopes of improvement rates at time point A",2016,2017,null,null,null,null,null,null,null,null,null,null,null,"Initial Rates",null,"Long-Term Rates",null,"Long-Term Rates",null,"Period Slope",null,"Cohort Slope",null,null,null,"Female",null,null,null,null,null,null,null,null,"Male",null,null,null,null,null,null,null,null,null,null,"Mortality Table",null,null,null,null,"3 = mortality rate in a particular year, divided by mortality rate in the \"jumping off\" year in cell R27"]
[null,null,null,null,1,2,3,4,5,6,7,8,9,10,"Total",null,null,null,null,null,null,null,null,"Note: it is recommended that cells Z19 and Z20  be set equal to cell R27",null,null,null,null,"If you selected \"2\" or \"3\" above, then please specify the historical period(s) across which to",null,null,null,null,null,null,null,null,"in Year A",null,"For Year B",null,"For Year D",null,"in Year A",null,"in Year A",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For the Base Year",null,null,null,null,"4 = period life expectancy by year (i.e. applying no mortality improvement rates after the year of calculation)",null,null,"Female",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Male"]
[null,null,null,null,0,0,0,0,0,0,0,0,0,1,1,null,null,null,null,null,null,null,null,null,null,null,null,null,"compute long-term improvement rates:",null,null,null,null,null,null,null,null,"Female","Male","Female","Male","Female","Male","Female","Male","Female","Male",null,null,2020,2021,2022,2023,2024,2025,2026,2027,"2028+",2020,2021,2022,2023,2024,2025,2026,2027,"2028+",null,null,"Female","Male",null,null,null,"5 = cohort life expectancy by year (i.e. applying mortality improvement rates after the year of calculation)",null,null,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,null,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037]
[null,null,null,null,"1 = lowest socioeconomic decile; 10 = highest decile (5 = highest quintile)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The \"jumping off\" point consists not only of a set of improvement rates, but also a set of improvement rate slopes which have an impact on the interpolation process. If you wish, using the parameters below, you may constraint these slopes to mute or dampen the initial rate-of-change of improvement rates. Note that for each of the preselected parameter sets, the parameters below are set to zero.",null,null,null,null,null,null,null,null,null,null,null,null,20,-1.5377416457809323E-2,-1.2913960901796528E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,20,null,null,null,null,null,"6 = like metric 4, but the change in life expectancy measured against the first year of output",null,20,0.02,1.52E-2,1.0500000000000001E-2,7.0000000000000001E-3,5.4999999999999997E-3,5.7999999999999996E-3,7.4000000000000003E-3,9.5999999999999992E-3,1.17E-2,1.3599999999999999E-2,1.4800000000000001E-2,1.54E-2,1.52E-2,1.41E-2,1.18E-2,8.6999999999999994E-3,5.0000000000000001E-3,1.6999999999999999E-3,-5.0000000000000001E-4,-8.0000000000000004E-4,1.4E-3,6.1000000000000004E-3,1.24E-2,1.9199999999999998E-2,2.5100000000000001E-2,2.86E-2,2.86E-2,2.5000000000000001E-2,1.8200000000000001E-2,9.1999999999999998E-3,-2.9999999999999997E-4,-8.8000000000000005E-3,-1.46E-2,-1.67E-2,-1.54E-2,-1.49E-2,-1.35E-2,-1.14E-2,-8.8000000000000005E-3,-5.8999999999999999E-3,-2.8999999999999998E-3,0,2.5999999999999999E-3,4.7999999999999996E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,2.9399999999999999E-2,2.1899999999999999E-2,1.2999999999999999E-2,4.7999999999999996E-3,-1.1000000000000001E-3,-4.4000000000000003E-3,-4.7999999999999996E-3,-2.5999999999999999E-3,1.8E-3,7.7999999999999996E-3,1.46E-2,2.1299999999999999E-2,2.6800000000000001E-2,2.9600000000000001E-2,2.8899999999999999E-2,2.47E-2,1.7600000000000001E-2,9.4999999999999998E-3,2.3999999999999998E-3,-2E-3,-2.7000000000000001E-3,5.9999999999999995E-4,7.3000000000000001E-3,1.6400000000000001E-2,2.5999999999999999E-2,3.3399999999999999E-2,3.6600000000000001E-2,3.4700000000000002E-2,2.8199999999999999E-2,1.84E-2,7.1000000000000004E-3,-3.5000000000000001E-3,-1.0999999999999999E-2,-1.4E-2,-1.29E-2,-1.24E-2,-1.12E-2,-9.2999999999999992E-3,-6.8999999999999999E-3,-4.1999999999999997E-3,-1.5E-3,1.1999999999999999E-3,3.5999999999999999E-3,5.4999999999999997E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Specify the time points between which MIM will interpolate",null,null,null,null,null,null,null,null,null,null,null,"Historical Period Across Which to Compute Improvement Rates at Times B and D",null,null,null,null,null,null,null,{"$f":"AK24+1","v":21},-1.6638399656096148E-2,-1.3174830562210138E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,{"$f":"AW24+1","v":21},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,{"$f":"BQ24+1","v":21},null,null,null,null,null,"7 = like metric 5, but the change in life expectancy measured against the first year of output",null,21,2.01E-2,1.5599999999999999E-2,1.11E-2,7.6E-3,5.8999999999999999E-3,6.0000000000000001E-3,7.4000000000000003E-3,9.4000000000000004E-3,1.1599999999999999E-2,1.3599999999999999E-2,1.5100000000000001E-2,1.6E-2,1.6E-2,1.47E-2,1.2200000000000001E-2,8.5000000000000006E-3,4.1999999999999997E-3,2.0000000000000001E-4,-2.5999999999999999E-3,-3.5999999999999999E-3,-2.0999999999999999E-3,1.9E-3,7.4000000000000003E-3,1.35E-2,1.89E-2,2.23E-2,2.2499999999999999E-2,1.9400000000000001E-2,1.34E-2,5.3E-3,-3.5000000000000001E-3,-1.12E-2,-1.6500000000000001E-2,-1.8200000000000001E-2,-1.66E-2,-1.55E-2,-1.4E-2,-1.1900000000000001E-2,-9.1999999999999998E-3,-6.1999999999999998E-3,-3.0999999999999999E-3,-1E-4,2.5999999999999999E-3,4.7999999999999996E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,2.9000000000000001E-2,2.1899999999999999E-2,1.34E-2,5.5999999999999999E-3,0,-2.8E-3,-2.8999999999999998E-3,-5.9999999999999995E-4,3.8E-3,9.5999999999999992E-3,1.6E-2,2.2100000000000002E-2,2.69E-2,2.8899999999999999E-2,2.7400000000000001E-2,2.24E-2,1.46E-2,6.0000000000000001E-3,-1.6000000000000001E-3,-6.1999999999999998E-3,-7.1000000000000004E-3,-4.0000000000000001E-3,2.5999999999999999E-3,1.17E-2,2.1299999999999999E-2,2.8899999999999999E-2,3.2300000000000002E-2,3.0700000000000002E-2,2.4400000000000002E-2,1.49E-2,4.0000000000000001E-3,-6.0000000000000001E-3,-1.29E-2,-1.52E-2,-1.32E-2,-1.26E-2,-1.1299999999999999E-2,-9.4000000000000004E-3,-7.0000000000000001E-3,-4.3E-3,-1.5E-3,1.1000000000000001E-3,3.5999999999999999E-3,5.4999999999999997E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," Time Point","A","B","C","D",null,null,null,null,null,null,null,null,null,null,null,"Start","End",null,null,{"$f":"AK25+1","v":22},-1.8101049033829364E-2,-1.4331907597202154E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,{"$f":"AW25+1","v":22},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,{"$f":"BQ25+1","v":22},null,null,null,null,null,null,null,22,1.9699999999999999E-2,1.54E-2,1.09E-2,7.3000000000000001E-3,5.4000000000000003E-3,5.3E-3,6.7000000000000002E-3,8.8000000000000005E-3,1.11E-2,1.34E-2,1.5299999999999999E-2,1.67E-2,1.7100000000000001E-2,1.6E-2,1.3299999999999999E-2,9.2999999999999992E-3,4.4000000000000003E-3,-4.0000000000000002E-4,-3.8999999999999998E-3,-5.5999999999999999E-3,-4.8999999999999998E-3,-1.8E-3,2.8999999999999998E-3,8.3000000000000001E-3,1.32E-2,1.6400000000000001E-2,1.6799999999999999E-2,1.4200000000000001E-2,8.8000000000000005E-3,1.4E-3,-6.6E-3,-1.38E-2,-1.8599999999999998E-2,-0.02,-1.8100000000000002E-2,-1.6799999999999999E-2,-1.47E-2,-1.24E-2,-9.7000000000000003E-3,-6.6E-3,-3.3999999999999998E-3,-2.9999999999999997E-4,2.5000000000000001E-3,4.7999999999999996E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,2.7799999999999998E-2,2.1100000000000001E-2,1.29E-2,5.4000000000000003E-3,2.0000000000000001E-4,-2.2000000000000001E-3,-1.9E-3,8.9999999999999998E-4,5.5999999999999999E-3,1.1599999999999999E-2,1.7999999999999999E-2,2.3900000000000001E-2,2.8199999999999999E-2,2.9700000000000001E-2,2.7400000000000001E-2,2.1499999999999998E-2,1.29E-2,3.3999999999999998E-3,-4.7000000000000002E-3,-9.7999999999999997E-3,-1.0999999999999999E-2,-8.0999999999999996E-3,-1.6000000000000001E-3,7.4000000000000003E-3,1.7000000000000001E-2,2.46E-2,2.81E-2,2.6499999999999999E-2,2.0400000000000001E-2,1.12E-2,5.9999999999999995E-4,-8.9999999999999993E-3,-1.54E-2,-1.7000000000000001E-2,-1.43E-2,-1.3299999999999999E-2,-1.18E-2,-9.7999999999999997E-3,-7.4000000000000003E-3,-4.5999999999999999E-3,-1.8E-3,1E-3,3.5000000000000001E-3,5.4999999999999997E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,"Order 3"," Select order of Whittaker-Henderson smoothing",null,null,null,null,null,null,null,null,null,null," By Age",2017,2027,2037,2057,null,null,null,null,null,null,null,"For setting improvement rates at time point B",null,null,null,null,null,null,null,23,-1.9773893485520944E-2,-1.6318987127435403E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,23,null,null,null,null,null,null,null,23,1.8800000000000001E-2,1.4500000000000001E-2,9.9000000000000008E-3,6.1000000000000004E-3,4.1000000000000003E-3,4.0000000000000001E-3,5.4000000000000003E-3,7.7000000000000002E-3,1.03E-2,1.2999999999999999E-2,1.54E-2,1.7399999999999999E-2,1.83E-2,1.77E-2,1.5100000000000001E-2,1.09E-2,5.4000000000000003E-3,0,-4.4000000000000003E-3,-6.7999999999999996E-3,-6.8999999999999999E-3,-4.7000000000000002E-3,-8.9999999999999998E-4,3.7000000000000002E-3,8.0999999999999996E-3,1.11E-2,1.1599999999999999E-2,9.4000000000000004E-3,4.4999999999999997E-3,-2.3E-3,-9.7000000000000003E-3,-1.6500000000000001E-2,-2.0899999999999998E-2,-2.1999999999999999E-2,-1.9800000000000002E-2,-1.84E-2,-1.61E-2,-1.3100000000000001E-2,-1.0200000000000001E-2,-7.0000000000000001E-3,-3.7000000000000002E-3,-5.0000000000000001E-4,2.3999999999999998E-3,4.7000000000000002E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,2.5999999999999999E-2,1.95E-2,1.15E-2,4.1999999999999997E-3,-6.9999999999999999E-4,-2.8E-3,-1.9E-3,1.5E-3,6.8999999999999999E-3,1.35E-2,2.0299999999999999E-2,2.6499999999999999E-2,3.0700000000000002E-2,3.1800000000000002E-2,2.8899999999999999E-2,2.2100000000000002E-2,1.26E-2,2.0999999999999999E-3,-6.7999999999999996E-3,-1.2500000000000001E-2,-1.4200000000000001E-2,-1.1599999999999999E-2,-5.3E-3,3.5000000000000001E-3,1.2999999999999999E-2,2.0500000000000001E-2,2.4E-2,2.24E-2,1.6400000000000001E-2,7.3000000000000001E-3,-3.0999999999999999E-3,-1.2500000000000001E-2,-1.8499999999999999E-2,-1.9599999999999999E-2,-1.6299999999999999E-2,-1.4800000000000001E-2,-1.2800000000000001E-2,-1.06E-2,-8.0000000000000002E-3,-5.1000000000000004E-3,-2.0999999999999999E-3,8.0000000000000004E-4,3.3999999999999998E-3,5.4999999999999997E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,"WH smoothing is applied to logged mortality rates. The resulting smoothed rates",null,null,null,null,null,null,null,null,null,null," By Cohort",null,2037,2037,2057,null,null,null,null,null,null,null,"For setting improvement rates at time point D",null,null,null,null,null,null,null,24,-2.1665322515553642E-2,-1.8994699890710898E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,24,null,null,null,null,null,null,null,24,1.7299999999999999E-2,1.29E-2,8.0999999999999996E-3,4.1000000000000003E-3,1.9E-3,1.9E-3,3.7000000000000002E-3,6.3E-3,9.2999999999999992E-3,1.23E-2,1.5299999999999999E-2,1.7899999999999999E-2,1.9599999999999999E-2,1.9699999999999999E-2,1.7500000000000002E-2,1.3100000000000001E-2,7.3000000000000001E-3,1.1999999999999999E-3,-4.0000000000000001E-3,-7.1999999999999998E-3,-8.0999999999999996E-3,-6.7999999999999996E-3,-4.0000000000000001E-3,-2.0000000000000001E-4,3.7000000000000002E-3,6.4000000000000003E-3,7.0000000000000001E-3,5.1000000000000004E-3,5.9999999999999995E-4,-5.7000000000000002E-3,-1.2800000000000001E-2,-1.9199999999999998E-2,-2.3400000000000001E-2,-2.4199999999999999E-2,-2.1700000000000001E-2,-2.01E-2,-1.7600000000000001E-2,-1.44E-2,-1.0800000000000001E-2,-7.4999999999999997E-3,-4.0000000000000001E-3,-6.9999999999999999E-4,2.3E-3,4.7000000000000002E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,2.35E-2,1.7100000000000001E-2,9.2999999999999992E-3,2.0999999999999999E-3,-2.7000000000000001E-3,-4.4000000000000003E-3,-2.8999999999999998E-3,1.2999999999999999E-3,7.7000000000000002E-3,1.52E-2,2.2800000000000001E-2,2.9600000000000001E-2,3.4200000000000001E-2,3.5200000000000002E-2,3.1899999999999998E-2,2.4299999999999999E-2,1.37E-2,2.0999999999999999E-3,-7.7999999999999996E-3,-1.43E-2,-1.66E-2,-1.44E-2,-8.3999999999999995E-3,2.0000000000000001E-4,9.4000000000000004E-3,1.67E-2,0.02,1.83E-2,1.23E-2,3.2000000000000002E-3,-7.0000000000000001E-3,-1.61E-2,-2.1899999999999999E-2,-2.2700000000000001E-2,-1.9E-2,-1.7100000000000001E-2,-1.46E-2,-1.18E-2,-8.8999999999999999E-3,-5.7999999999999996E-3,-2.5999999999999999E-3,5.0000000000000001E-4,3.3E-3,5.4999999999999997E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,"are then anti-logged, thereby producing smoothed mortality rates which, in turn,",null,null,null,null,null,null,null,null,null,null,"Note: ascending order required: year A < year B <= year C < year D",null,null,null,null,null,null,"Constraints on Improvement Rate Slopes at Time Point A",null,null,null,null,null,null,null,null,null,null,null,null,25,-2.3774481876476239E-2,-2.2161895484688943E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,25,null,null,null,null,null,null,null,25,1.55E-2,1.0800000000000001E-2,5.7000000000000002E-3,1.4E-3,-8.0000000000000004E-4,-5.9999999999999995E-4,1.5E-3,4.5999999999999999E-3,8.0000000000000002E-3,1.14E-2,1.49E-2,1.8200000000000001E-2,2.0799999999999999E-2,2.1600000000000001E-2,0.02,1.5800000000000002E-2,9.7000000000000003E-3,3.0999999999999999E-3,-2.8E-3,-6.7000000000000002E-3,-8.5000000000000006E-3,-8.0999999999999996E-3,-6.1000000000000004E-3,-3.0999999999999999E-3,2.0000000000000001E-4,2.5999999999999999E-3,3.2000000000000002E-3,1.4E-3,-2.8E-3,-8.8999999999999999E-3,-1.5800000000000002E-2,-2.1899999999999999E-2,-2.5899999999999999E-2,-2.6599999999999999E-2,-2.3800000000000002E-2,-2.2100000000000002E-2,-1.9400000000000001E-2,-1.6E-2,-1.21E-2,-8.0000000000000002E-3,-4.4000000000000003E-3,-8.9999999999999998E-4,2.2000000000000001E-3,4.7000000000000002E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,2.0299999999999999E-2,1.3899999999999999E-2,6.1999999999999998E-3,-8.9999999999999998E-4,-5.4999999999999997E-3,-6.7999999999999996E-3,-4.7000000000000002E-3,4.0000000000000002E-4,7.7999999999999996E-3,1.6400000000000001E-2,2.52E-2,3.2899999999999999E-2,3.8199999999999998E-2,3.9600000000000003E-2,3.5999999999999997E-2,2.7799999999999998E-2,1.6199999999999999E-2,3.5000000000000001E-3,-7.4999999999999997E-3,-1.4999999999999999E-2,-1.7999999999999999E-2,-1.6400000000000001E-2,-1.0800000000000001E-2,-2.5000000000000001E-3,6.3E-3,1.32E-2,1.6199999999999999E-2,1.44E-2,8.3000000000000001E-3,-8.0000000000000004E-4,-1.09E-2,-1.9900000000000001E-2,-2.5499999999999998E-2,-2.6200000000000001E-2,-2.2200000000000001E-2,-0.02,-1.7000000000000001E-2,-1.3599999999999999E-2,-0.01,-6.6E-3,-3.0999999999999999E-3,2.0000000000000001E-4,3.0999999999999999E-3,5.4000000000000003E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,"are used to calculated rates of mortality improvement.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Maximum absolute value of horizontal (period) slope",0,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AK29+1","v":26},-2.6078764591433323E-2,-2.5602632953460658E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,{"$f":"AW29+1","v":26},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,{"$f":"BQ29+1","v":26},null,null,null,null,null,null,null,26,1.34E-2,8.2000000000000007E-3,2.8E-3,-1.6000000000000001E-3,-3.8E-3,-3.3999999999999998E-3,-8.9999999999999998E-4,2.5999999999999999E-3,6.4000000000000003E-3,1.0200000000000001E-2,1.4200000000000001E-2,1.8200000000000001E-2,2.1600000000000001E-2,2.3400000000000001E-2,2.2499999999999999E-2,1.8599999999999998E-2,1.2500000000000001E-2,5.4999999999999997E-3,-8.9999999999999998E-4,-5.4999999999999997E-3,-8.0000000000000002E-3,-8.5000000000000006E-3,-7.3000000000000001E-3,-5.1000000000000004E-3,-2.3999999999999998E-3,-4.0000000000000002E-4,0,-1.6999999999999999E-3,-5.7999999999999996E-3,-1.18E-2,-1.8499999999999999E-2,-2.46E-2,-2.8500000000000001E-2,-2.9000000000000001E-2,-2.6100000000000002E-2,-2.4199999999999999E-2,-2.1299999999999999E-2,-1.7600000000000001E-2,-1.35E-2,-9.1000000000000004E-3,-4.7999999999999996E-3,-1.1000000000000001E-3,2.0999999999999999E-3,4.5999999999999999E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,1.6299999999999999E-2,9.9000000000000008E-3,2.2000000000000001E-3,-4.7000000000000002E-3,-8.9999999999999993E-3,-0.01,-7.3000000000000001E-3,-1.1999999999999999E-3,7.3000000000000001E-3,1.7000000000000001E-2,2.7E-2,3.5999999999999997E-2,4.2299999999999997E-2,4.4499999999999998E-2,4.1099999999999998E-2,3.2399999999999998E-2,1.9900000000000001E-2,6.1999999999999998E-3,-6.0000000000000001E-3,-1.4500000000000001E-2,-1.83E-2,-1.7399999999999999E-2,-1.24E-2,-4.7000000000000002E-3,3.5999999999999999E-3,0.01,1.26E-2,1.06E-2,4.3E-3,-4.7000000000000002E-3,-1.4800000000000001E-2,-2.3699999999999999E-2,-2.92E-2,-2.98E-2,-2.5600000000000001E-2,-2.3199999999999998E-2,-1.9800000000000002E-2,-1.5800000000000002E-2,-1.1599999999999999E-2,-7.4999999999999997E-3,-3.7000000000000002E-3,-2.0000000000000001E-4,2.8999999999999998E-3,5.4000000000000003E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"To create the projection scale between time points \"A\" and \"B\", MIM interpolates both horizontally (by age) and/or diagonally (by cohort). Please refer to the user guide for a detailed description of these interpolation approaches. MIM performs each of these two interpolation approaches separately, and then computes the weighted average of the results. Use the parameter below to specify the weight placed on the cohort interpolation (the remaining weight will be placed on the horizontal projection).",null,null,null,null,null,null,"Maximum absolute value of diagonal (cohort) slope",0,null,null,null,"Note: if you have set cell AC17 to \"2\" or \"3\" and thus would like MIM to calculate the long-term",null,null,null,null,null,null,null,27,-2.8521753821512119E-2,-2.9116092074196631E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,27,null,null,null,null,null,null,null,27,1.11E-2,5.4000000000000003E-3,-2.9999999999999997E-4,-4.7999999999999996E-3,-6.7999999999999996E-3,-6.1999999999999998E-3,-3.3999999999999998E-3,5.0000000000000001E-4,4.5999999999999999E-3,8.8000000000000005E-3,1.32E-2,1.78E-2,2.1999999999999999E-2,2.47E-2,2.4500000000000001E-2,2.12E-2,1.52E-2,8.0999999999999996E-3,1.4E-3,-3.7000000000000002E-3,-6.7999999999999996E-3,-8.0000000000000002E-3,-7.4999999999999997E-3,-6.0000000000000001E-3,-4.0000000000000001E-3,-2.5000000000000001E-3,-2.3999999999999998E-3,-4.1999999999999997E-3,-8.3000000000000001E-3,-1.4200000000000001E-2,-2.0899999999999998E-2,-2.7E-2,-3.09E-2,-3.15E-2,-2.8500000000000001E-2,-2.6599999999999999E-2,-2.3400000000000001E-2,-1.95E-2,-1.4999999999999999E-2,-1.03E-2,-5.7000000000000002E-3,-1.4E-3,2E-3,4.5999999999999999E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,1.17E-2,5.1999999999999998E-3,-2.5000000000000001E-3,-9.1999999999999998E-3,-1.3100000000000001E-2,-1.3599999999999999E-2,-1.0200000000000001E-2,-3.3999999999999998E-3,6.0000000000000001E-3,1.6899999999999998E-2,2.8199999999999999E-2,3.8600000000000002E-2,4.6300000000000001E-2,4.9500000000000002E-2,4.6600000000000003E-2,3.78E-2,2.47E-2,0.01,-3.3E-3,-1.2800000000000001E-2,-1.7600000000000001E-2,-1.7500000000000002E-2,-1.32E-2,-6.1999999999999998E-3,1.4E-3,7.1999999999999998E-3,9.2999999999999992E-3,7.0000000000000001E-3,6.9999999999999999E-4,-8.3999999999999995E-3,-1.84E-2,-2.7199999999999998E-2,-3.27E-2,-3.3300000000000003E-2,-2.9100000000000001E-2,-2.6599999999999999E-2,-2.29E-2,-1.8499999999999999E-2,-1.37E-2,-8.8999999999999999E-3,-4.4999999999999997E-3,-5.9999999999999995E-4,2.7000000000000001E-3,5.3E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,"To determine improvement rates at the \"jumping off\" point, historical mortality rates are smoothed using a Whittaker-Henderson (WH) objective function, and improvement rates are then determined using the smoothed mortality rates. The \"order\" refers to the degree of the finite difference operators used in the smoothing process. In general, order-2 will produce a smoother two-dimensional surface of mortality improvement rates relative to order-3. Note that MP-2021 uses order-3 smoothing, while O2-2021 uses order-2 smoothing. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"improvement rates, then you must run step 4c to execute the calculation process",null,null,null,null,null,null,null,28,-3.1004739513686763E-2,-3.2545286065761347E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,28,null,null,null,null,null,null,null,28,8.8000000000000005E-3,2.7000000000000001E-3,-3.3E-3,-7.7000000000000002E-3,-9.7000000000000003E-3,-8.8000000000000005E-3,-5.7999999999999996E-3,-1.8E-3,2.5999999999999999E-3,7.0000000000000001E-3,1.18E-2,1.6899999999999998E-2,2.1899999999999999E-2,2.53E-2,2.5999999999999999E-2,2.3300000000000001E-2,1.78E-2,1.0800000000000001E-2,4.1000000000000003E-3,-1.2999999999999999E-3,-4.8999999999999998E-3,-6.7000000000000002E-3,-6.8999999999999999E-3,-6.1000000000000004E-3,-4.7000000000000002E-3,-3.8E-3,-4.1000000000000003E-3,-6.1999999999999998E-3,-1.04E-2,-1.6299999999999999E-2,-2.3E-2,-2.92E-2,-3.32E-2,-3.39E-2,-3.1E-2,-2.9000000000000001E-2,-2.5700000000000001E-2,-2.1499999999999998E-2,-1.67E-2,-1.17E-2,-6.7000000000000002E-3,-2.0999999999999999E-3,1.8E-3,4.5999999999999999E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,6.7000000000000002E-3,-1E-4,-7.7000000000000002E-3,-1.4E-2,-1.7500000000000002E-2,-1.7399999999999999E-2,-1.34E-2,-6.0000000000000001E-3,4.1999999999999997E-3,1.6E-2,2.8500000000000001E-2,4.0399999999999998E-2,4.9700000000000001E-2,5.4199999999999998E-2,5.2200000000000003E-2,4.3499999999999997E-2,0.03,1.46E-2,4.0000000000000002E-4,-0.01,-1.5699999999999999E-2,-1.6500000000000001E-2,-1.3100000000000001E-2,-7.0000000000000001E-3,-2.0000000000000001E-4,4.8999999999999998E-3,6.4999999999999997E-3,3.8999999999999998E-3,-2.5999999999999999E-3,-1.18E-2,-2.1700000000000001E-2,-3.0499999999999999E-2,-3.5900000000000001E-2,-3.6600000000000001E-2,-3.2500000000000001E-2,-0.03,-2.6100000000000002E-2,-2.1299999999999999E-2,-1.6E-2,-1.06E-2,-5.4999999999999997E-3,-1.1000000000000001E-3,2.5000000000000001E-3,5.3E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,-3.3387327015611978E-2,-3.5786793120630378E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,29,null,null,null,null,null,null,null,29,6.8999999999999999E-3,2.9999999999999997E-4,-5.7999999999999996E-3,-1.0200000000000001E-2,-1.2E-2,-1.11E-2,-8.0999999999999996E-3,-4.0000000000000001E-3,5.0000000000000001E-4,5.1000000000000004E-3,0.01,1.5599999999999999E-2,2.1100000000000001E-2,2.53E-2,2.6700000000000002E-2,2.47E-2,1.9800000000000002E-2,1.3299999999999999E-2,6.7000000000000002E-3,1.2999999999999999E-3,-2.5999999999999999E-3,-4.7000000000000002E-3,-5.4000000000000003E-3,-5.1000000000000004E-3,-4.4000000000000003E-3,-4.1999999999999997E-3,-5.1000000000000004E-3,-7.6E-3,-1.2E-2,-1.7899999999999999E-2,-2.47E-2,-3.1E-2,-3.5200000000000002E-2,-3.61E-2,-3.3399999999999999E-2,-3.1399999999999997E-2,-2.7900000000000001E-2,-2.35E-2,-1.84E-2,-1.3100000000000001E-2,-7.7999999999999996E-3,-2.8999999999999998E-3,1.2999999999999999E-3,4.4999999999999997E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,1.6999999999999999E-3,-5.4000000000000003E-3,-1.2999999999999999E-2,-1.9099999999999999E-2,-2.1999999999999999E-2,-2.1299999999999999E-2,-1.6799999999999999E-2,-8.8000000000000005E-3,1.9E-3,1.4500000000000001E-2,2.81E-2,4.1500000000000002E-2,5.2400000000000002E-2,5.8299999999999998E-2,5.7200000000000001E-2,4.9000000000000002E-2,3.5499999999999997E-2,1.9599999999999999E-2,4.7999999999999996E-3,-6.4000000000000003E-3,-1.29E-2,-1.46E-2,-1.21E-2,-7.0000000000000001E-3,-1.1000000000000001E-3,3.2000000000000002E-3,4.1999999999999997E-3,1.1999999999999999E-3,-5.4999999999999997E-3,-1.46E-2,-2.46E-2,-3.3300000000000003E-2,-3.8800000000000001E-2,-3.9600000000000003E-2,-3.5799999999999998E-2,-3.3300000000000003E-2,-2.93E-2,-2.4199999999999999E-2,-1.84E-2,-1.2500000000000001E-2,-6.8999999999999999E-3,-1.8E-3,2.3E-3,5.1999999999999998E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Note: after setting the parameters above, you must run the program in step 4c ",null,null,null,null,null,null,null,null,null,null,null,null,30,-3.5498023512839261E-2,-3.8780380451747476E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,30,null,null,null,null,null,null,null,30,5.5999999999999999E-3,-1.4E-3,-7.7000000000000002E-3,-1.21E-2,-1.38E-2,-1.29E-2,-1.01E-2,-6.1999999999999998E-3,-1.8E-3,2.8999999999999998E-3,8.0000000000000002E-3,1.38E-2,1.9800000000000002E-2,2.4500000000000001E-2,2.6599999999999999E-2,2.53E-2,2.12E-2,1.5299999999999999E-2,9.1000000000000004E-3,3.8999999999999998E-3,1E-4,-2.2000000000000001E-3,-3.3E-3,-3.3999999999999998E-3,-3.3E-3,-3.8E-3,-5.4000000000000003E-3,-8.3999999999999995E-3,-1.2999999999999999E-2,-1.9099999999999999E-2,-2.5899999999999999E-2,-3.2300000000000002E-2,-3.6799999999999999E-2,-3.7900000000000003E-2,-3.5499999999999997E-2,-3.3599999999999998E-2,-3.0099999999999998E-2,-2.5399999999999999E-2,-2.01E-2,-1.4500000000000001E-2,-8.8999999999999999E-3,-3.7000000000000002E-3,6.9999999999999999E-4,4.1999999999999997E-3,6.3E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,-2.8999999999999998E-3,-1.0500000000000001E-2,-1.8200000000000001E-2,-2.4E-2,-2.6499999999999999E-2,-2.5100000000000001E-2,-2.01E-2,-1.18E-2,-8.0000000000000004E-4,1.24E-2,2.7E-2,4.1700000000000001E-2,5.4199999999999998E-2,6.1600000000000002E-2,6.1499999999999999E-2,5.3900000000000003E-2,4.0500000000000001E-2,2.46E-2,9.4999999999999998E-3,-2.2000000000000001E-3,-9.2999999999999992E-3,-1.17E-2,-1.03E-2,-6.1000000000000004E-3,-1.1999999999999999E-3,2.2000000000000001E-3,2.5999999999999999E-3,-8.0000000000000004E-4,-7.7000000000000002E-3,-1.6899999999999998E-2,-2.69E-2,-3.56E-2,-4.1200000000000001E-2,-4.2200000000000001E-2,-3.8800000000000001E-2,-3.6400000000000002E-2,-3.2300000000000002E-2,-2.7E-2,-2.1000000000000001E-2,-1.46E-2,-8.3999999999999995E-3,-2.8999999999999998E-3,1.8E-3,5.1000000000000004E-3,6.8999999999999999E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"to calculate the improvement rates and slopes for time point \"A\"",null,null,null,null,null,null,null,null,null,null,null,null,31,-3.7154171117354196E-2,-4.1484761142532189E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,31,null,null,null,null,null,null,null,31,5.0000000000000001E-3,-2.3999999999999998E-3,-8.6999999999999994E-3,-1.3100000000000001E-2,-1.49E-2,-1.4200000000000001E-2,-1.18E-2,-8.2000000000000007E-3,-4.0000000000000001E-3,5.0000000000000001E-4,5.7000000000000002E-3,1.1599999999999999E-2,1.7899999999999999E-2,2.3099999999999999E-2,2.5700000000000001E-2,2.5100000000000001E-2,2.1700000000000001E-2,1.6500000000000001E-2,1.11E-2,6.4000000000000003E-3,2.8999999999999998E-3,6.9999999999999999E-4,-5.0000000000000001E-4,-1E-3,-1.4E-3,-2.5999999999999999E-3,-4.8999999999999998E-3,-8.5000000000000006E-3,-1.35E-2,-1.9699999999999999E-2,-2.6599999999999999E-2,-3.32E-2,-3.78E-2,-3.9100000000000003E-2,-3.7199999999999997E-2,-3.5400000000000001E-2,-3.2000000000000001E-2,-2.7300000000000001E-2,-2.1700000000000001E-2,-1.5900000000000001E-2,-0.01,-4.5999999999999999E-3,1E-4,3.7000000000000002E-3,6.0000000000000001E-3,7.4000000000000003E-3,8.3999999999999995E-3,9.4000000000000004E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,-6.7000000000000002E-3,-1.49E-2,-2.2800000000000001E-2,-2.8500000000000001E-2,-3.0599999999999999E-2,-2.8799999999999999E-2,-2.3400000000000001E-2,-1.4800000000000001E-2,-3.5000000000000001E-3,1.01E-2,2.5499999999999998E-2,4.1300000000000003E-2,5.5E-2,6.3700000000000007E-2,6.4600000000000005E-2,5.7599999999999998E-2,4.4699999999999997E-2,2.9000000000000001E-2,1.3899999999999999E-2,2.0999999999999999E-3,-5.3E-3,-8.2000000000000007E-3,-7.6E-3,-4.4000000000000003E-3,-5.0000000000000001E-4,2E-3,1.8E-3,-2E-3,-9.1000000000000004E-3,-1.8499999999999999E-2,-2.86E-2,-3.7400000000000003E-2,-4.3099999999999999E-2,-4.4400000000000002E-2,-4.1500000000000002E-2,-3.9199999999999999E-2,-3.5099999999999999E-2,-2.9700000000000001E-2,-2.3400000000000001E-2,-1.67E-2,-1.0200000000000001E-2,-4.1000000000000003E-3,1E-3,4.7000000000000002E-3,6.7999999999999996E-3,7.9000000000000008E-3,8.8999999999999999E-3,9.7999999999999997E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5," Specify the weight placed on interpolation by cohort",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,-3.789793097671823E-2,-4.7253351140039923E-2,1.35E-2,1.35E-2,8.0000000000000002E-3,8.0000000000000002E-3,0,0,0,0,null,34,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,34,null,null,null,null,null,null,null,34,8.0999999999999996E-3,6.9999999999999999E-4,-5.7999999999999996E-3,-1.06E-2,-1.34E-2,-1.4200000000000001E-2,-1.3599999999999999E-2,-1.21E-2,-9.7000000000000003E-3,-6.4000000000000003E-3,-1.9E-3,3.7000000000000002E-3,0.01,1.54E-2,1.8700000000000001E-2,1.9300000000000001E-2,1.78E-2,1.52E-2,1.26E-2,1.0800000000000001E-2,9.7999999999999997E-3,9.4000000000000004E-3,9.1000000000000004E-3,8.5000000000000006E-3,7.1999999999999998E-3,4.5999999999999999E-3,5.9999999999999995E-4,-4.5999999999999999E-3,-1.0999999999999999E-2,-1.8100000000000002E-2,-2.5399999999999999E-2,-3.2000000000000001E-2,-3.6700000000000003E-2,-3.8600000000000002E-2,-3.7900000000000003E-2,-3.73E-2,-3.4599999999999999E-2,-3.04E-2,-2.5100000000000001E-2,-1.9099999999999999E-2,-1.2999999999999999E-2,-7.1000000000000004E-3,-2E-3,2.0999999999999999E-3,4.7000000000000002E-3,6.4000000000000003E-3,7.9000000000000008E-3,9.2999999999999992E-3,1.04E-2,1.12E-2,1.2E-2,1.26E-2,1.3100000000000001E-2,1.34E-2,1.35E-2,null,-1.0500000000000001E-2,-2.0799999999999999E-2,-0.03,-3.6400000000000002E-2,-3.8800000000000001E-2,-3.7100000000000001E-2,-3.1600000000000003E-2,-2.2800000000000001E-2,-1.12E-2,3.0000000000000001E-3,1.9300000000000001E-2,3.6499999999999998E-2,5.21E-2,6.2700000000000006E-2,6.5699999999999995E-2,6.0600000000000001E-2,4.9500000000000002E-2,3.5900000000000001E-2,2.29E-2,1.29E-2,6.7000000000000002E-3,3.8999999999999998E-3,3.5999999999999999E-3,4.8999999999999998E-3,6.4000000000000003E-3,6.7999999999999996E-3,4.7000000000000002E-3,-2.9999999999999997E-4,-8.3000000000000001E-3,-1.83E-2,-2.9000000000000001E-2,-3.8699999999999998E-2,-4.5499999999999999E-2,-4.8300000000000003E-2,-4.7300000000000002E-2,-4.5499999999999999E-2,-4.1599999999999998E-2,-3.61E-2,-2.9600000000000001E-2,-2.2499999999999999E-2,-1.52E-2,-8.3999999999999995E-3,-2.3E-3,2.3999999999999998E-3,5.4000000000000003E-3,7.1999999999999998E-3,8.6E-3,9.7000000000000003E-3,1.06E-2,1.14E-2,1.21E-2,1.2699999999999999E-2,1.3100000000000001E-2,1.34E-2,1.35E-2]
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[null,"Heat Map of the Results Generated by Tab 1",null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[]
[null,"Color Legend","You may alter the numerical values below (use ascending order, please), and you may also enter your own color scale."]
[null,null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
[null," Default Color Scale"]
[null," Mortality Improvement Rates",-0.06,-5.1999999999999998E-2,-4.3999999999999997E-2,-3.5999999999999997E-2,-2.7999999999999997E-2,-1.9999999999999997E-2,-1.1999999999999997E-2,-3.9999999999999975E-3,4.0000000000000018E-3,1.2000000000000002E-2,0.02,2.8000000000000001E-2,3.5999999999999997E-2,4.3999999999999997E-2,5.1999999999999998E-2,0.06]
[null," Mortality Rates",0,5.0000000000000001E-3,0.01,1.4999999999999999E-2,0.02,2.5000000000000001E-2,3.0000000000000002E-2,3.5000000000000003E-2,0.04,4.4999999999999998E-2,4.9999999999999996E-2,5.4999999999999993E-2,5.9999999999999991E-2,6.4999999999999988E-2,6.9999999999999993E-2,7.4999999999999997E-2]
[null," Mort Rate / Rate in Base Year",0.6,{"$f":"C9+0.05","v":0.65},{"$f":"D9+0.05","v":0.70000000000000007},0.75000000000000011,0.80000000000000016,0.8500000000000002,0.90000000000000024,0.95000000000000029,1.0000000000000002,1.0500000000000003,1.1000000000000003,1.1500000000000004,1.2000000000000004,1.2500000000000004,1.3000000000000005,1.3500000000000005]
[null," Change in Expected Lifetime",-1,{"$f":"C10+0.5","v":-0.5},{"$f":"D10+0.5","v":0},0.5,1,1.5,2,2.5,3,3.5,4,4.5,5,5.5,6,6.5,null,"These heat maps show the mortality rate in each year divided by the mortality rate in the jumping off year."]
[null," User-Specified Color Scale"]
[null,null,"Anytime you make a change above, or if you switch color scales, you must re-run the model on tab 1.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Female",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Male"]
[null,null,"Which color scale do you wish to use?",null,null,null,null,null,"Default",null,null,null,null,null,null,null,null,null,null,"1983",null,null,null,null,null,null,null,null,null,"1993",null,null,null,null,null,null,null,null,null,"2003",null,null,null,null,null,null,null,null,null,"2013",null,null,null,null,null,null,null,null,null,"2023",null,null,null,null,null,null,null,null,null,"2033",null,null,null,null,null,"1983",null,null,null,null,null,null,null,null,null,"1993",null,null,null,null,null,null,null,null,null,"2003",null,null,null,null,null,null,null,null,null,"2013",null,null,null,null,null,null,null,null,null,"2023",null,null,null,null,null,null,null,null,null,"2033"]
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[]
[null,"Graph of the Results on Tab 1",null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,null,null,null,null,null,null,null,null,null,2017]
[]
[null,null,null,null,null,null,null," ANNUAL RATES OF MORTALITY IMPROVEMENT"]
[null,"Press RUN to launch the graph, and, after",null,null,null,null,null,null,null,null,null,null,null,null,"Note: values for the individual years displayed in cell K3 can be found in the table below the graph"]
[null,"the animation is complete, you may then "]
[null,"use the arrow buttons to step forwards or "]
[null,"backwards through time."]
[]
[null,0.25,"Seconds between slides"]
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{"sheet":"4. Unsmoothed Data","index":8,"n_rows":1518,"n_cols":117,"rows_kept":562,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":250,"rows_last":62,"rows_between":250,"halvings":3}}
[]
[null,"Unsmoothed Mortality Rates",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,"Datasets \"q\" and \"d\" are the quintile and decile datasets, respectively, developed from NCHS data. Dataset \"SSA\" reflects data from the Social Security Administration (SSA). The 2023 SSA data is provisional."]
[]
[null,null,"Decile or",null,null,null,"Age"]
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[]
[null,"Mortality Rates Smoothed Using Whittaker-Hendersen Order 2",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,"The smoothing process begins at age 15 and runs through age 97. Therefore, below, ages 0 to 14 and ages 97+ are left blank"]
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[null,null,"Decile or",null,null,null,"Age"]
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[]
[null,"Mortality Rates Smoothed Using Whittaker-Hendersen Order 3",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,"The smoothing process begins at age 15 and runs through age 97. Therefore, below, ages 0 to 14 and ages 97+ are left blank"]
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[null,"ssa","Total",2019,"m",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.627247671407444E-4,5.7579679196555027E-4,7.0010993204529649E-4,8.3187588908739815E-4,9.6625393873506335E-4,1.0979030182431213E-3,1.2217424406374547E-3,1.3337886740673564E-3,1.4318384577163422E-3,1.5157529435016642E-3,1.5872391583919598E-3,1.649245397313562E-3,1.7052267692081993E-3,1.7585132057857508E-3,1.8118875448879354E-3,1.8673927816280893E-3,1.9263193502564062E-3,1.9892950574195625E-3,2.0564261975170128E-3,2.1274796747504593E-3,2.2021064758234064E-3,2.2801025271811299E-3,2.3616832082620359E-3,2.4477143738424047E-3,2.5398345612609352E-3,2.6404356320250543E-3,2.7525344453777313E-3,2.8796065235683552E-3,3.0254326540751896E-3,3.1939786566646776E-3,3.389310629416397E-3,3.6155402905638867E-3,3.8767811920548305E-3,4.1770916298442687E-3,4.5203873514372247E-3,4.9103082981072268E-3,5.3500121672246511E-3,5.8418616360376516E-3,6.387045062118026E-3,6.9852528243075276E-3,7.6345406443377199E-3,8.3314579269879434E-3,9.071436987662912E-3,9.8493736160904684E-3,1.0660318127878387E-2,1.1500216360817755E-2,1.2366709224718154E-2,1.3260054983521962E-2,1.4184057300467292E-2,1.5146728444093245E-2,1.616053072687075E-2,1.7242310249319784E-2,1.8413225751264434E-2,1.9698721398933711E-2,2.1128302166618443E-2,2.2734944527698746E-2,2.4554204102269127E-2,2.6623262271019358E-2,2.8980160089994988E-2,3.1663445597651045E-2,3.4712300447683961E-2,3.8167148706653595E-2,4.2070854866602739E-2,4.6470264893338123E-2,5.141753402981341E-2,5.6970812218244342E-2,6.3194193576189023E-2,7.015714431180553E-2,7.7933602068907246E-2,8.6600771719042527E-2,9.6237684897894082E-2,0.10692370718703052,0.1187372023330875,0.13175455775143349,0.14604974462371284,0.16169447441081652,0.1787588884751217,0.19731258573347071,0.21742570846129319,0.23916975997611428,0.26261786003850168,0.28784422227908518,0.31492275895594313]

{"sheet":"7 Graph Historical Data","index":11,"n_rows":36,"n_cols":26,"rows_kept":36,"cut":false,"hidden":false,"merged":[]}
[]
[null,"For a Specified Year(s), Plot Historical Data Across a Range of Ages",null,null,null,null,null,null,null,null,null,null,null,"Copyright © 2026 Society of Actuaries Research Institute."]
[null,"You may plot up to 10 data series on this graph. The graph focuses solely on the historical data (which ends in 2019). To plot a forward projection, use the graph on worksheet 3."]
[]
[]
[null,null,null,null,null,null,"Available Metrics"]
[null,null,null,null,null,null,"MR","age-sex standardized mortality rate (see worksheet 8 for details)",null,null,null,"The parameter in column E"]
[null,null,"Graph Parameters",null,null,null,"MR / MR_base","mortality rate as % of mortality rate in specified base year",null,null,null,"is needed for some metrics,"]
[null,null,"Column v1"," Chart Type",null,null,"MR / MR_base - 1","\"excess mortality\" (relative to the base year)",null,null,null,"but not for all of them."]
[null,null,20," First Age",null,null,"MI_annualized","geometric avg rate of mort improvement from base yr to data yr",null,null,null,"When not needed, the parameter"]
[null,null,95," Last Age",null,null,"L","life expectancy (*)",null,null,null,"will automatically be hidden."]
[null,null,"5-Year Buckets"," Output Format",null,null,"L - L_base","change in life expectancy (data year relative to base year)"]
[null,null,null,null,null,null,"  (*) when using 5-year age buckets, life expectency is measured from the lower end of each bucket"]
[]
[]
[null,null,null,null,null,null,null,"Whittaker"]
[null,null,"Mortality",null,"Base","Data",null,"Hendersen","Plot on","Graph"]
[null,"Case","Metric","Sex","Year","Year","Dataset","Smoothing","Graph?","Label"," 20-24"," 25-29"," 30-34"," 35-39"," 40-44"," 45-49"," 50-54"," 55-59"," 60-64"," 65-69"," 70-74"," 75-79"," 80-84"," 85-89"," 90-94"," 95-99"]
[]
[null,1,"MI_annualized","F",1982,2019,"NCHS q1","Unsmoothed","Y","q1",1.6889323648932031E-3,-1.0651232468681382E-3,-7.1090057154601372E-3,-6.8670268180286431E-3,-1.6597731881355937E-3,3.1120101064618932E-4,1.2281804411633512E-3,6.7303283369157807E-4,2.491471618929042E-3,4.4419637412146384E-3,5.67472885425091E-3,5.896600762775539E-3,6.3428729957151209E-3,3.8853898044897139E-3,1.095790928123952E-3,-1.10601045389358E-3]
[null,2,"MI_annualized","F",1982,2019,"NCHS q2","Unsmoothed","Y","q2",3.9384558525082936E-3,-5.5968902781922125E-4,-3.8914695046705639E-3,-2.3458584305680041E-3,2.1753326811808638E-3,4.7437063973539972E-3,4.7659274222114911E-3,5.075171901434028E-3,6.9771314177996535E-3,9.0834807196871203E-3,8.2754904272124286E-3,7.4846088718765191E-3,6.0494159053079422E-3,4.2855502037001392E-3,1.424221716463947E-3,-3.0650086535621845E-4]
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