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{"sheet":"Assignment","index":0,"n_rows":138,"n_cols":3,"rows_kept":138,"cut":false,"hidden":false,"merged":[[0,0,0,7]]}
["RETIREMENT SAVINGS ASSIGNMENT"]
["Remember that this assignment is to be entirely your own work and that collaboration"]
["with others in completing any aspect of the assignment is not allowed. As a last step in"]
["this workbook, copy the Certification sheet into this workbook from the last assignment"]
["and complete it to indicate whether you conformed to this requirement."]
[]
["Do not insert/delete rows, columns or sheets unless instructed to do so. Do not move"]
["cells with formulas or values. Doing any of these will make your workbook unacceptable"]
["for grading. Formats for cells that are not empty should not be changed. The chart"]
["format and options should not be changed. Be sure to read all of the comments attached"]
["to red-flagged cells - they are meant to be helpful, as well as the Hint sheet!"]
[]
["Part 1 Scenario:"]
["Today is your 21st birthday. You just started a new job and you are planning to save for"]
["retirement. You plan to save a percent of your salary each year through age 64, quit your"]
["job on your 65th birthday, then begin withdrawing that day and each year thereafter. Your"]
["salary is expected to increase each year by the rates in column D on the Starter sheet,"]
["so the amount saved each year will be growing. Inflation will impact the rate you earn as"]
["well as purchasing power so you will need to express some of the future amounts in real"]
["(or today's) deflated dollars. Once you retire the amount you withdraw each year needs"]
["to be able to purchase the same amount as $120,000 would today. Assume all cash flows"]
["are at year end. Ignore taxes. To simplify, assume that your salary is paid annually in a"]
["lump sum after working for one year. Use discrete time value formulas, NOT continuous!"]
[]
["Of course if you knew the rate you would earn each year on your account and the age at"]
["which you would die you could easily calculate how much to save for any size"]
["withdrawal. But in reality you do not know these annually compounded rates and must"]
["estimate them. You may assume each year's rate is normally distributed with the"]
["parameters listed on the Starter sheet and independent of (not dependent on) any other"]
["year's rate. Assume that the rates given are annually compounded rates."]
[]
["Modify the Starter sheet to simulate 10,000 times the age to which you will be able to"]
["continue the withdrawals, understanding that you may eventually run out of money! The"]
["Starter sheet shows ages 21-121 by which time you will likely be long gone from this"]
["world. Cells with \"XXX\" must be replaced with formulas. Use empty cells on the"]
["starter sheet in column L to help impute the approximate age (years and fraction of year)"]
["you run out of money (ex. 77.6215). Assume that this age cannot be larger than 121."]
["The account balances should show negative values after you run out of money."]
[]
["L111 should be replaced with a formula to show what year (and fraction) your money ran"]
["out. Note that L111 should be less than or equal to 121. You will need to create a way to"]
["determine to what age your money will last. Assume that your balance earns a rate of"]
["return only if it is invested for the entire year. If there is only enough money for a partial"]
["withdrawal in the last year that your money runs out then adjust age proportionately."]
["Example: Half of the required withdrawal lasts half a year; one-fourth of the required"]
["withdrawal lasts one-fourth of a year. Use cells in L53:L110 for intermediate calculations"]
["using an IF function. See the Hint sheet for more help."]
[]
["Study the Fisher equation.xlsx workbook to help with inflation calculations. If you use the"]
["Fisher equation be sure to use the exact formula and not the approximation. Double"]
["check all of your calculations. One way to do this would be to use different formulas in"]
["another workbook along with some common sense about what is reasonable."]
[]
["Build the simulation table at the bottom of the Starter sheet. After completing the"]
["simulation, show (in the purple fill range at the top right of the Starter sheet) a formula to"]
["calculate the average, minimum and maximum age at which your money ran out based"]
["on the 10,000 results. Show in O2:O5 the 5, 10, 50 and 75 percentile ages using the"]
["PERCENTILE.INC function and 10,000 simulated ages. M2:M4 should have formulas"]
["to show statistics for the 10,000 values simulated."]
[]
["Now, rerun the simulation six times by changing C6 and show in the yellow-fill region in"]
["L7:Q7 the 10%ile age for the six different percentages saved (L6:Q6). Replace each"]
["\"???\" with VALUES (NOT formulas) with as many decimals as the simulation produces."]
["When finished with this step replace C6 with the original value of 15.0%."]
[]
["Assume that your 10,000 simulated ages are  representative of what might happen in the"]
["future. In M13:R29 below Part 1 on the Starter sheet carefully explain the meaning of the"]
["10 percentile age shown in O3 when 15% of salary is saved. Target your explanation to"]
["an English major with no understanding of Finance asking you how long their money"]
["might last in retirement. Assume that person understands the meaning of \"probability\"."]
[]
["Part 2"]
["Part 1 above has assumed your portfolio is 100% risky assets. Assume now that you"]
["divide your portfolio into two pieces, the risky part (stocks, equity funds, hedge funds,"]
["options, futures, etc.) and the riskless part (T-bills, guaranteed rate investments, etc."]
["having no risk). The riskless rate is shown in cell R37. This strategy is consistent with"]
["the two-fund separation result of the Markowitz model we discussed in class. If you have"]
["difficulty completing the tasks below, review the CAPM material discussed in lectures."]
[]
["In the gray workspace (V43:AD76) build a model and table to show the mean and"]
["standard deviation for different blends of the risky and riskless assets. The weights on"]
["the risky portfolio blends are 1%, 20%, 40%, 60%, 80% and 100%. Carefully label all"]
["components of this model and table."]
[]
["Using the values in R36:R40, run 6 simulations, one for each blend, to determine the"]
["value of your retirement portfolio in today's dollars (i.e., deflated) at age 65 immediately"]
["before the first withdrawal. For each simulation change the balance of your portfolio"]
["using the weights in the green fill table along with the different percentiles shown. Be"]
["sure to adjust the portfolio expected return (simulated in column G) and standard"]
["deviation for each simulation run. Fill in the table \"???\"s with values (NOT formulas) from"]
["the simulations. The chart below the graph will automatically adjust to display the results."]
[]
["Use the green-fill chart results to help you determine the best blend that reflects your"]
["degree of risk aversion, considering where you fit in the table below."]
[null,"Very Low","Willing to accept a bad outcome seven in ten times"]
[null,"Low","Willing to accept a bad outcome five in ten times"]
[null,"Average ","Willing to accept a bad outcome three in ten times"]
[null,"High","Willing to accept a bad outcome one in ten times"]
[null,"Ultra High","Willing to accept a bad outcome one in fifty times"]
[]
["Assume all asset prices fairly reflect their systematic risk. What blend of risky and"]
["riskless assets would you pick for your portfolio? What is your personal degree of risk"]
["aversion? Most importantly, why did you pick that blend? If you had the option to invest in"]
["any Vanguard fund as the risky part of your retirement portfolio, which fund or funds"]
["would you pick? Do NOT pick a dated Target Retirement fund! Why did you pick this"]
["fund(s)? Answer these questions in the blue-fill regions provided on the Starter sheet"]
["below the chart. Vanguard funds can be seen at"]
["https://investor.vanguard.com/investment-products/list/etfs"]
["https://investor.vanguard.com/investment-products/list/mutual-funds"]
[]
["For this last question you will need to do several simulations. The blend of risky and"]
["riskless asstes and the percent of salary saved (Starter!C6) both have a huge impact on"]
["future value. Your goal is to find the smallest percent of your salary that must be saved to"]
["have a 90% probability that your Age 65 deflated portfolio value (before the withdrawal in"]
["that year) is at least $2 million. In the space provided on the Starter sheet, show the best"]
["blend and percent saved needed to achieve this goal. Then explain how you did this."]
["Hint: Solver will likely be useless as an optimization tool."]
[]
["When finished copy and complete the Certification sheet from your last assignment to"]
["the last sheet in this workbook. Be sure that this workbook size is less than 1000Kb."]
["Reset ALL of the input values (Blue font cells) in columns C and D to their original"]
["values. DELETE THE DATA TABLE ARRAY FUNCTIONS in rows 116:1115. (Formulas"]
["in M2:M4 and O2:O5 may show errors, #REF!  - do not delete them!). Cell A115 should"]
["show the formula used in the Part 2 simulation. Before saving your final version, end in"]
["each sheet by selecting cell A1 and zoom the view to neutral (middle of slider). Save the"]
["workbook with the Starter sheet active. Email the completed workbook"]
["(###LastName.xlsm) to r.ritchey@ttu.edu. Subject: Assignment 5."]
[]
["Grading (approximate breakdown):"]
[10,"Part 1 short answer"]
[45,"Part 1 formulas"]
[15,"Part 2 formulas with documentation"]
[30,"Part 2 answers with good reasoning"]
[]
["Grading Deductions Include:"]
[-5,"Wrong File Name or File > 1000Kb"]
[-10,"Not resetting inputs or not deleting Data Table Array Functions"]
[-30,"Late"]

{"sheet":"Starter","index":1,"n_rows":1115,"n_cols":22,"rows_kept":1115,"cut":false,"hidden":false,"merged":[[32,12,32,16],[33,12,33,16],[2,1,4,1]]}
["Retirement Savings",null,null,null,"Class #","Name",null,null,null,null,null,"Age Savings Depleted -->","Age",null,"Age"]
[null,null,60000,"Starting Salary",null,null,null,null,null,null,null,"Mean of 10,000 Observations","XXX",null,"XXX","<-- 5 percentile"]
[null,"Long Term Estimates",0.109,"Expected Annual ROR on 100% Stock Portfolio",null,null,null,null,null,null,null,"Minimum","XXX",null,"XXX","<-- 10 percentile"]
[null,null,0.16,"Standard Deviation of Annual Nominal ROR on 100% Stock Portfolio",null,null,null,null,null,null,null,"Maximum","XXX",null,"XXX","<-- 50 percentile"]
[null,null,2.1000000000000001E-2,"Annual Inflation Rate",null,null,null,null,null,null,null,null,null,null,"XXX","<-- 75 percentile"]
[null,null,0.15,"Proportion of Each Year's Salary Saved (Deposited End of Year)",null,null,null,null,null,null,"<--       % Saved -->",0.1,0.12,0.14000000000000001,0.16,0.18,0.2]
[null,null,120000,"DEFLATED Value (today's dollars) of Each Withdrawal in Retirement",null,null,null,null,null,null,"10%ile Age -->","???","???","???","???","???","???"]
["Year End","Age on B-Day","End of Year","Salary Growth Rate","Deposits from Salary (End of Year)","Withdrawals (End of Year)","Simulated ROR on Account","Account Balance       (End of Year)","Account Balance in Real Dollars (Deflated)","Withdrawal in Real Dollars (Deflated)","Salary in Real Dollars (Deflated)"]
[0,21,{"$f":"TODAY()","v":"2024-04-24"},null,null,null,null,0,"XXX",null,null,null,"PART 1","Complete the model to the left by replacing \"XXX\" with formulas."]
[{"$f":"1+A9","v":1},{"$f":"1+B9","v":22},{"$f":"DATE(YEAR(C9)+1,MONTH(C9),DAY(C9))","v":"2025-04-24"},null,{"$f":"C6*C2","v":9000},0,"XXX","XXX","XXX",0,"XXX",null,null,"Use simulation to replace \"???\" in the table above with values."]
[{"$f":"1+A10","v":2},23,{"$f":"DATE(YEAR(C10)+1,MONTH(C10),DAY(C10))","v":"2026-04-24"},0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,"Carefully explain the significance of the 10 percentile age (O3) below."]
[3,24,"2027-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,"When finished put back original values in C2:C7.",null,null,null,null,"<-- Your explanation should be logical and"]
[4,25,"2028-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"carefully worded. Target your explanation to a"]
[5,26,"2029-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"fellow graduating student majoring in English."]
[6,27,"2030-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"Justify the text to fit in the blue-fill area to the left."]
[7,28,"2031-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"A good answer can be made in one simple to the"]
[8,29,"2032-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"point sentence. The answer should convey an"]
[9,30,"2033-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"understanding of how the value in cell O3 might"]
[10,31,"2034-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"be interpreted as it relates to an individual's"]
[11,32,"2035-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,"retirement portfolio."]
[12,33,"2036-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[13,34,"2037-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[14,35,"2038-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[15,36,"2039-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[16,37,"2040-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[17,38,"2041-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[{"$f":"1+A26","v":18},39,"2042-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[19,40,"2043-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[20,41,"2044-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[21,42,"2045-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[22,43,"2046-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,"PART 2","Assume your retirement portfolio is invested in two parts: Risky Stocks and Riskless and"]
[23,44,"2047-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,"all of the assumptions in the Markowitz Mean-Variance Model are satisfied."]
[24,45,"2048-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,"Deflated Portfolio Value (Before Withdrawal) at Age 65",null,null,null,null,"Complete the table to the left using the input values listed below."]
[25,46,"2049-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,"15% of Salary Saved (each row simulated 10,000 times)",null,null,null,null,"Replace \"XXXXX\" with simulated values showing portfolio value for different"]
[26,47,"2050-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,"% in Risky","5 percentile","10 percentile","50 percentile","75 percentile","percentages invested in risky assets at different percentiles."]
[27,48,"2051-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,0.01,"???","???","???","???",{"$f":"C3","v":0.109},"Expected Annual Nominal ROR on Stock Portion of Portfolio"]
[28,49,"2052-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,0.2,"???","???","???","???",4.1000000000000002E-2,"Annual Nominal ROR on Riskless Portion of Portfolio"]
[29,50,"2053-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,0.4,"???","???","???","???",{"$f":"C4","v":0.16},"Standard Deviation of Annual ROR on Stock Portion of Portfolio"]
[30,51,"2054-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,0.6,"???","???","???","???",{"$f":"C5","v":2.1000000000000001E-2},"Annual Inflation Rate"]
[31,52,"2055-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,0.8,"???","???","???","???",{"$f":"C6","v":0.15},"Proportion of Each Year's Salary Saved (Deposited End of Year)"]
[32,53,"2056-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,1,"???","???","???","???"]
[33,54,"2057-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[{"$f":"1+A42","v":34},55,"2058-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX",null,null,null,null,null,null,null,null,null,null,"Use this space to show calculations used in green-fill table above. LABEL ALL CALCULATIONS!"]
[35,56,"2059-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[36,57,"2060-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[37,58,"2061-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[38,59,"2062-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[39,60,"2063-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[40,61,"2064-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[41,62,"2065-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[42,63,"2066-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[43,64,"2067-04-24",0.04,"XXX",0,"XXX","XXX","XXX",0,"XXX"]
[44,65,"2068-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[45,66,"2069-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[46,67,"2070-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[47,68,"2071-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[48,69,"2072-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[49,70,"2073-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[{"$f":"1+A58","v":50},71,"2074-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[51,72,"2075-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[52,73,"2076-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[53,74,"2077-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[54,75,"2078-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[55,76,"2079-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[56,77,"2080-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[57,78,"2081-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[58,79,"2082-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[59,80,"2083-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[60,81,"2084-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[61,82,"2085-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[62,83,"2086-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[63,84,"2087-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[64,85,"2088-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[65,86,"2089-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[{"$f":"1+A74","v":66},87,{"$f":"DATE(YEAR(C74)+1,MONTH(C74),DAY(C74))","v":"2090-04-24"},-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[67,88,"2091-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[68,89,"2092-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"What does the table and graph above suggest as to how you might form your"]
[69,90,"2093-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"retirement portfolio, i.e., what % would you invest in the risky stock portion? (2) What is"]
[70,91,"2094-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"your personal degree of risk aversion? (3) Why pick this blend?"]
[71,92,"2095-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"(1)","???","<-- % Risky Stocks (enter a number - not a formula!)",null,null,null,"<-- Answer next to the labels \"(1), (2) & (3)\".Your"]
[72,93,"2096-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"(2)","???","<-- Your personal degree of risk aversion",null,null,null,"explanation should be logical and carefully"]
[73,94,"2097-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"(3)","Reason I picked this blend:",null,null,null,null,"worded. Justify the text to fit in the blue-fill area"]
[74,95,"2098-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"to the left. The answer to (1) must be a number (%)."]
[75,96,"2099-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"See the Assignment sheet for possible answers to (2)."]
[76,97,"2100-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[77,98,"2101-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"Question (3) (left) will be very heavily weighted in"]
[78,99,"2102-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"the grading rubric. A good answer will require"]
[79,100,"2103-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"careful analysis of simulation results and a well"]
[80,101,"2104-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"worded, logical and convincing statement."]
[81,102,"2105-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[{"$f":"1+A90","v":82},103,"2106-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"Which Vanguard funds would you pick for the risky portion of your portfolio? Why?",null,null,null,null,null,"<-- Your explanation should be logical and"]
[83,104,"2107-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"carefully worded. Justify the text to fit in the"]
[84,105,"2108-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"blue-fill area to the left."]
[85,106,"2109-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[86,107,"2110-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[87,108,"2111-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[88,109,"2112-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[89,110,"2113-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[90,111,"2114-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[91,112,"2115-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[92,113,"2116-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0]
[93,114,"2117-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"Using the optimal blend of risky and riskless, simulation will allow you to determine the"]
[94,115,"2118-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"smallest percent of salary needed to reach your retirement goal. Below, enter the smallest"]
[95,116,"2119-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"% of your salary that must be saved to have a 90% probability that your Age 65 portfolio"]
[96,117,"2120-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"DEFLATED value (before the withdrawal in that year) is at least $2 million."]
[97,118,"2121-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"???","<--Optimal  % of Salary needed to achieve your goal",null,null,null,null,"<-- Enter a number in the \"???\" cell - NOT a formula!"]
[{"$f":"1+A106","v":98},119,"2122-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,"???","<--Optimal  % Risky Stocks",null,null,null,null,"<-- Enter a number in the \"???\" cell - NOT a formula!"]
[99,120,"2123-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"<-- Carefully explain how you arrived at these values."]
[100,121,"2124-04-24",-1,"XXX","XXX","XXX","XXX","XXX","XXX",0,null,null,null,null,null,null,null,"Justify the text."]
[]
[null,null,null,null,null,null,null,null,null,null,"Age money ran out! -->","XXX"]
[]
[null,"<--Dummy1",null,"Do all of your simulatioins using the table below."]
[null,"<--Dummy2"]
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{"sheet":"Hint","index":2,"n_rows":37,"n_cols":2,"rows_kept":37,"cut":false,"hidden":false,"merged":[]}
["Assignment Hints for the Age formula in L111"]
["Consider the following thought process to find a formula for L111 that"]
["calculates the “Age money ended”. "]
["After you have completed the all of the formulas for the table"]
["in A9:K109:"]
["1.","Start by entering a VALUE (like 10%) for the randomly"]
[null,"generated ROR in each cell in column G of the table."]
["2.","Without using Excel or a calculator you should be able to"]
[null,"look at the table you created and roughly (to within about"]
[null,"one-fifth of a year) determine how old you would be"]
[null,"when the money runs out. Example: Half of the required"]
[null,"withdrawal lasts half a year; one-fourth of the required"]
[null,"withdrawal lasts one-fourth of a year. Use cells in"]
[null,"L53:L110 for intermediate calculations"]
["3.","Use a calculator and simple formula to come up with a"]
[null,"more accurate answer. Be sure that you look at the age"]
[null,"listed in the workbook in column B where your balance"]
[null,"turns negative to help answer this question."]
["4.","In column L, next to the first negative balance, use a"]
[null,"simple formula that gets the same answer as your"]
[null,"calculator. Use only cell references in your formula."]
["5.","Copy that last formula to other cells in column L and see if"]
[null,"it works in the cell next to the first negative balance"]
[null,"when the RORs are changed. Note that if the balance is"]
[null,"positive at age 121 (H109) then L111=121."]
["6.","At this point you have in column L one cell that contains"]
[null,"the correct answer for Age money ended (the answer to"]
[null,"cell L111). Change the rate of return in column G to make"]
[null,"sure your formulas work with other rates as well."]
["7.","Use an IF function in each of the column L cells that allows"]
[null,"you to easily identify which cell displays the correct age"]
[null,"for L111."]
["8.","Put a formula in L111 that uses the age from the correct"]
[null,"cell. Change the rates of return a few times and verify"]
[null,"that you always get the correct answer in L111."]
["9.","Now replace the rates of return in column G with a"]
[null,"formula that appropriately randomizes each rate."]