Hi I am having a lot of trouble answering question 13 on Sheet 9 and also 10.3- 10.10 on the next page. I managed to get 10.05 but the rest I am stuck on. Please help me.
TN4182 I SEE THE LIGHT Tanya, when you are ready to have your work graded you will upload this file to the same screen that the project was downloaded from: www.cybertext.com, The Book List, Building Blocks of Accounting--A Managerial Perspective, Enter password, Upload Your Excel File. Keep two copies of your spreadsheet in two separate places in case one of Big Al's competitors sends someone to destroy your work or it is lost in transmission. You may find it easier to work on this project if you print a hard copy of all the pages. There are alternative methods of solving problems. To insure similar answers and to guarantee that you are graded F820 100721 correctly please follow the instructions as to rounding. NOTE: If there are any questions about the project e-mail markfriedman@miami.edu or call 305.284.6296. Grade will be based upon answers entered into the shaded boxes. TN4182.xls, or TN4182.xlsx, FAQ 01 What is the difference between rounding a number and rounding up a number? Given: Cost of a Taxi Number of Passengers Find Cost per Passenger Without rounding Rounding to two decimals Roundup to two decimals $100.00 3 $33.333333 $33.330000 $33.340000 =C3/C4 =ROUND(C3/C4,2) =ROUNDUP(C3/C4,2) FAQ 02 When I upload it, the results show that I have an answer wrong, yet that answer is needed for another question which is marked correct. The computer is giving you part credit. Given: Width 10 ft Length 12 ft Cost per sq. ft. $6 Find {1.1} Area ----- 100 sq ft (wrong) {1.2} Cost ---- $600 correct based on the wrong area. Note if the area is corrected,120 sq ft, the cost would be wrong. FIRST Tanya LAST number Nagesvaran 4182 File TN4182 I SEE THE LIGHT Background Information I SEE THE LIGHT (ISTL) is a subchapter S corporation that manufactures children's lampsightlights for use in bedrooms. These lamps are sold nationwide through a group of independent sales representatives who have an exclusive sales region. The business is in its tenth year and has asked you to assist in planning for next year's operations. The lamps are ceramic figurines of animals, boats, boys and girls playing and singing, all in delightful colors. The owner of the business, Big Al, creates a drawing for the figurine and faxes it to a plant in China where a mold is created and a sample produced and hand painted. If the mold meets the expectations of Big Al an order of 500 lamp parts is placed. Each lamp kit consists of the parts required to complete one lamp; a figurine, a lamp shade and the required electrical components. There are presently 10 different figurines that come in six different colors; 60 models. There are presently 10 workers in the plant. They are responsible for receiving the raw material, manufacturing the product, packing and shipping. In addition to Big Al there are two office workers who are responsible for all administrative duties. Big Al had his accountant prepare the Projected Income Statement and Balance Sheet presented on page two. Big Al heard about your skills in managerial accounting and would like your assistance in the following areas: Part 1 Fixed and Variable Cost Determinations - Unit Cost Calculations Part 2 Cost Volume Relationships - Profit Planning Part 3 Budgets Part 4 Process Costing Part 5 Job Order Costing Part 6 Standard Costing - Variance Analysis Part 7 Capital Decision Making To upload your work to Big Al the file without changing the name. Pay attention to the specific location that Excel saves the file. Return to the bottom of the page that you downloaded the file from; Cybertext.com, The Book List, Building Blocks of Accounting--A Managerial Perspective, Enter password, Upload Your Excel File. If you upload an old version of the file the results will not update. Keep two copies of your spreadsheet in two separate places in case one of Big Al's competitors sends someone to destroy your work or it is lost in transmission. You may find it easier to work on this project if you print a hard copy of all the pages. NOTE: If there are any questions about the project e-mail markfriedman@miami.edu or call 305.284.6296. Grade will be based upon answers entered into the shaded boxes. Page 2 I See The Light Projected Income Statement For the Period Ending December 31, 20x1 Sales 25,000 lamps @ Cost of Goods Sold @ Gross Profit Selling Expenses: Fixed Variable (Commission per unit) @ Administrative Expenses: Fixed Variable @ Total Selling and Administrative Expenses: Net Profit $45.00 $30.00 $1,125,000.00 750,000.00 $375,000.00 $3.00 $23,000.00 75,000.00 $98,000.00 $2.00 $42,000.00 50,000.00 92,000.00 190,000.00 $185,000.00 I See The Light Projected Balance Sheet As of December 31, 20x1 Current Assets Cash Accounts Receivable Inventory Raw Material Lamp Kits Work in Process Finished Goods Total Current Assets Fixed Assets Equipment Accumulated Depreciation Total Fixed Assets Total Assets Current Liabilities Accounts Payable Total Liabilities Stockholder's Equity Common Stock Retained Earnings Total Stockholder's Equity Total Liabilities and Stockholder's Equity $34,710.00 67,500.00 500 @ $16.00 0 3000 @ $30.00 8,000.00 90,000.00 $200,210.00 $20,000.00 6,800.00 13,200.00 $213,410.00 $54,000.00 $54,000.00 $12,000.00 147,410.00 159,410.00 $213,410.00 Page 3 Tanya Nagesvaran 4455 PART 1 Fixed and Variable Cost Determinations Unit Cost Calculations The projected cost of a lamp is calculated based upon the projected increases or decreases to current costs. The present costs to manufacture one lamp are: Lamp Kit: Direct Labor: Variable Overhead: Fixed Overhead: $16.0000000 2.0000000 2.0000000 10.0000000 per lamp per lamp (4 lamps/hr.) per lamp per lamp (based on normal capacity of 25,000 lamps) Cost per lamp: $30.0000000 per lamp Expected increases for 20x2 When calculating projected increases round to TWO ($0.00) decimal places. 1. Material Costs are expected to increase by 6.00% . 2. Labor Costs are expected to increase by 4.00%. 3. Variable Overhead is expected to increase by 4.50%. 4. Fixed Overhead is expected to increase to $265,000. 5. Fixed Administrative expenses are expected to increase to $52,000. 6. Variable selling expenses (measured on a per lamp basis) are expected to increase by 6.50%. 7. Fixed selling expenses are expected to be $41,000 in 20x2. 8. Variable administrative expenses (measured a per lamp basis) are expected to increase by 4.50%. On the following schedule develop the following figures: 1- 20x2 Projected Variable Manufacturing Unit Cost of a lamp. 2- 20x2 Projected Variable Unit Cost per lamp. 3- 20x2 Projected Fixed Costs. Page 4 Tanya Nagesvaran 4455 I See The Light, Inc Schedule of Projected Costs Variable Manufacturing Unit Cost 20x1 Cost Lamp Kit Labor Variable Overhead 16 2 2 Projected Percent Increase 0.06 0.04 0.045 20x2 Cost Rounded to 2 Decimal Places $16.96 $2.08 $2.09 2 2 $21.13 Projected Variable Manufacturing Cost Per Unit {4.01} {4.02} {4.03} 2 {4.04} 2 Total Variable Cost Per Unit 20x1 Cost Projected Percent Increase 20x2 Cost Rounded to 2 Decimal Places Variable Selling Variable Administrative Projected Variable Manufacturing Unit Cost 3.20 2.09 21.13 {4.05} {4.06} {4.04} 2 2 2 Projected Total Variable Cost Per Unit 26.42 {4.07} 2 Fixed Overhead (normal capacity of _________ lamps @ __ ) Fixed Selling Fixed Administrative $265,000.00 {4.08} 2 $41,000.00 $52,000.00 {4.09} {4.10} 2 2 Projected Total Fixed Costs $358,000.00 {4.11} 2 Schedule of Fixed Costs 20x1 Cost Projected Percent Increase 20x2 Cost Page 5 Tanya Nagesvaran 4455 PART 2 Cost Volume Relationships Profit Planning Big Al is about to begin work on the budget for 20x2 and they have requested that you prepare an analysis based on the following assumptions. Note: Remember, that we cannot sell part of a lamp, therefore to find the number of units you have to round up to the next complete unit. Furthuremore, to find the required sales in dollars it may be easier to find the number of units and then multiply by the selling price per unit. 1. For 20x2 the selling price per lamp will be $45.00. What is the projected contribution margin and contribution margin ratio for each lamp sold? 45 - 26.42 18.58 / 45 $18.58 Contribution Margin per unit (Round to two places, $##.##) {5.01} 2 41.29% {5.02} 4 30,436 units {5.03} 0 23,036 units {5.04} 0 Contribution Margin Ratio (Round to four places,% is two of those places ##.##%) 2. For 20x2 the selling price per lamp will be $45.00. The desired net income in 20x2 is $207,500 . What would sales in units have to be in 20x2 to reach the profit goal? 45x - 26.42x - 358,000 207500 Breakeven sales in units (Since we cannot sell part of a unit round up to the next unit if needed) 3. For 20x2 the selling price per lamp will be $45.00. If the fixed cost increase by $70,000.00 how many lamps must be sold to breakeven? 45x - 26.42x - 428000 Breakeven sales in units (Since we cannot sell part of a unit round up to the next unit if needed) Page 6 Tanya Nagesvaran 4455 4. For 20x2 the selling price per lamp will be $45.00. If the variable cost increase by $7.00 a unit how many lamps must be sold to breakeven? 45x - 33.42x - 358,000 Breakeven sales in units (Since we cannot sell part of a unit round up to the next unit if needed) 5. - 19.42x - 0 13,996 units {6.02} 0 13,996 units {6.03} 0 30,916 units {6.04} 0 358,000 Breakeven sales in units (Since we cannot sell part of a unit round up to the next unit if needed) If for 20x2 the selling price per lamp is increased to $52.00 a unit how many lamps must be sold to breakeven? 52x - 26.42x - 358000 Breakeven sales in units (Since we cannot sell part of a unit round up to the next unit if needed) 7. {6.01} For 20x2 the selling price per lamp will be $45.00. If the variable cost decreased by $7.00 a unit how many lamps must be sold to breakeven? 45x 6. 30,916 units If for 20x2 the selling price per lamp is decreased to $38.00 a unit how many lamps must be sold to breakeven? 38x - 26.42x - 358000 Breakeven sales in units (Since we cannot sell part of a unit round up to the next unit if needed) Page 7 Tanya Nagesvaran 4455 PART 3 Budgets Division N has decided to develop its budget based upon projected sales of 33,000 lamps at $55.00 per lamp. The company has requested that you prepare a master budget for the year. This budget is to be used for planning and control of operations and should be composed of: 1. Production Budget 2. Materials Budget 3. Direct Labor Budget 4. Factory Overhead Budget 5. Selling and Administrative Budget 6. Cost of Goods Sold Budget 7. Budgeted Income Statement 8. Cash Budget Notes for Budgeting: The company wants to maintain the same number of units in the beginning and ending inventories of work-in-process, and electrical parts while increasing the inventory of Lamp Kits to 750 pieces and decreasing the finished goods by 20%. Complete the following budgets 1 Production Budget Planned Sales Desired Ending Inventory of Finished Goods Total Needed Less: Beginning Inventory Total Production 33,000 150 33150 750 32,400 units {7.01} 0 Page 8 Tanya Nagesvaran 4455 2 Materials Budget Lamp Kits Needed for Production Desired Ending Inventory Total Needed Less: Beginning Inventory Total Purchases Cost per piece Cost of Purchases (Round to two places, $##.##) 32,400 units 750 units 33,150 units 500 units 32650 $16.96 $553,744.00 {8.01} {8.02} {8.03} {8.04} 0 0 0 0 {8.05} {8.06} 2 0 $2.08 32,400 units $67,392.00 {8.07} 2 {8.08} 2 Variable Factory Overhead: Variable Factory Overhead Cost Per Unit Number of Units to be Produced Total Variable Factory Overhead (Round to two places, $##.##) Fixed Factory Overhead 2.09 32,400 units $67,716.00 $265,000.00 {8.09} {8.10} 2 2 Total Factory Overhead (Round to two places, $##.##) $332,716.00 {8.11} 2 3 Direct Labor Budget Labor Cost Per Lamp Production Total Labor Cost (Round to two places, $##.##) 4 Factory Overhead Budget Page 9 Tanya Nagesvaran 4455 4 Factory Overhead Budget Overhead Allocation rate based on: 1. Number of Units Total Factory Overhead / Number of Units (Round to two places, $##.##) 32,400 units $332,716.00 / 32400 $10.27 2 {9.02} $29.31 Total cost of one unit (Round to two places, $##.##) {9.01} $16.96 $2.08 10.27 5 Cost of making one unit next year Cost of one Lamp Kit Labor Cost Per Lamp Factory overhead per unit {9.03} 2 2 2 2 6 Selling and Admin. Budget Fixed Selling Variable Selling (Round to two places, $##.##) Fixed Administrative Variable Administrative (Round to two places, $##.##) Total Selling and Administrative (Round to two places, $##.##) 7 Cost of Goods Sold Budget - Assume FIFO (First-In, First-Out) and overhead is applied based on the number of units to be produced. Beginning Inventory, Finished Goods Production Costs: Materials: Lamp Kits: Beginning Inventory Purchased Available for Use Ending Inventory of Lamp Kits Lamp Kits Used In Production Total Materials: Labor Overhead Cost of Goods Available Less: Ending Inventory, Finished Goods Cost of Goods Sold 33000 x 3.2 33000 x 2.09 sheet 2 sheet 2 sheet 8 - 9.07 +9.09+ 750 (16.96) 8.09 8.11 9.10 + 9.11 $41,000.00 $105,600.00 $52,000.00 $68,970.00 $267,570.00 {9.04} 2 {9.05} {9.06} 2 2 Round dollars to two places, $##.## $90,000.00 {9.07} 2 {9.08} 2 {9.09} {9.10} {9.11} {9.12} {9.13} {9.14} 2 2 2 2 2 2 $8,000.000 $553,744.000 $561,744.000 $12,720.00 32400 $549,024.00 $67,392.00 $332,716.00 $1,039,132.00 $21,982.50 Page 10 Tanya Nagesvaran 4455 7 Budgeted Income Statement Sales Cost of Goods Sold Gross Profit Selling Expenses & Admin. Expenses Net Income 32400 x 55 $1,782,000.00 $267,570.00 {10.01} 2 {10.02} {10.03} {10.04} 2 2 2 {10.05} 2 {10.06} {10.07} 2 2 {10.08} 2 Amount to be borrowed (if any) {10.09} 2 Budgeted Cash Balance {10.10} 2 8 Cash Budget Assume actual cash receipts and disbursements will follow the pattern below: (Note: Receivables and Payables of 12/31/x1 will have a cash impact in 20x2.) 1. 24.00% of sales for the year are made in November and December. Since our customers have 60 day terms those funds will be collected be collected in January and February. 2. 88.00% of material purchases will be paid during the year, the remaining portion will be paid in Januay or February. 3. All other manufacturing and operating costs are paid for when incurred. 4. The budgeted depreciation expense is equal to 0.6% of the fixed manufacturing, selling and administrative expenses. 5. Minimum Cash Balance needed for 20x2, $175,000 . I See The Light Projected Cash Budget For the Year Ending December 31, 20x2 Beginning Cash Balance Cash Inflows: Sales Collections: Account Receivable (Sales last year not collected) Sales made and collected in 20x2 Cash Available Cash Outflows: Purchases Accounts Payable (Purchases last year) Purchases made and paid for in 20x2 Other Manufacturing Costs Direct Labor Total Manufacturing Overhead Selling and Administrative Less: Depreciation Total Cash Outflows Budgeted Cash Balance before financing Needed Minimum Balance Round dollars to two places, $##.## $34,710.000 $67,500.00 $54,000.000 $487,294.72 $67,392.00 $332,716.00 $267,570.00 $175,000.000 Page 11 Tanya Nagesvaran 4455 PART 4 Process Costing - Weighted Average General Information The I See The Light Company has a related company that produces the figurines. They use process costing in the molding department. The factory overhead is applied at a rate of 50% of direct labor dollars. The material is added at the beginning of the process. The labor and overhead costs are assumed to be added uniformly throughout. Month of January Selected information for January is presented below. Note that the applied overhead rate was 50% of direct labor costs in the molding department. Molding Department Goods in-process as of January 1 were 3,200 figurines at a cost of $13,438.00. Of this amount, $5,248.00 was from raw materials added, $5,460.00 for labor and $2,730.00 for overhead. These 3,200 figurines were assumed to be 10.00% complete as to labor and overhead. During January, 26,000 units were started, $39,720.00 of materials and $80,780.00 of labor costs were incurred. The 4,500 figurines that were in-process at the end of January were assumed to be 50.00% complete to labor and overhead. All figurines in January passed inspection. Page 12 Tanya Nagesvaran 4455 January MOLDING Physical Flow of Units Work-in-Process - Beginning Units Started this Period Units to Account for 3,200 units 26,000 units 29,200 units Total transferred out Work-in-Process - Ending Total Accounted for 24,700 units 4,500 units 29,200 units {12.01} {12.02} 0 0 29,200.00 {12.03} 2 26,950.00 {12.04} 2 $44,968.00 {12.05} 2 $129,360.00 $174,328.00 {12.06} {12.07} 2 2 Cost per equivalent unit of Material (Round to two places, ###.##) $1.54 {12.08} 2 Cost per equivalent unit of Conversion (Round to two places, ###.##) $4.80 {12.09} 2 $174,328.00 156598 Cost of the ending inventory, material and convesion (Round to two places, $###,###.## ) $17,730.00 {12.10} 2 6.34 24700 = Cost of the units transferred, material and convesion (Round to two places, $###,###.## ) $156,598.00 {12.11} 2 Equivalent Units Material (Round to two places, ##,###.##) 24700 + 4500 x 100% 24700 + (4500 x 50%) Equivalent Units Conversion (Round to two places, ##,###.##) Total cost of Material (Round to two places, ##.###.##) Total cost of Conversion (Round to two places, ##.###.##) Total cost to account for (Round to two places, ##.###.##) Page 13 Tanya Nagesvaran 4455 PART 5 Job Order Costing To keep records of the actual cost of a special order job, a Job Order Cost System has been developed. Overhead is applied at the rate of 50% of the direct labor cost. Job Order Costing Section On January 1, 20x2, Division S began Job 2407 for the Client, THE BIG CHILDREN STORE. The job called for 4,000 customized lamps. The following set of transactions occurred from January 5 until the job was completed: 5-Jan Purchased 4,225 Lamp Kits @ $16.55 per kit. 9-Jan 4,250 sets of Lamp Kits were requisitioned. 17-Jan Payroll of 590 Direct Labor Hours @ $9.65 per hour. 30-Jan Payroll of 640 Direct Labor Hours @ $9.90 per hour. 30-Jan 3,990 lamps were completed and shipped. All materials requisitioned were used or scrapped, and are a cost of normal processing. Month End Overhead Information Actual Variable Manufacturing Overhead Actual Fixed Manufacturing Overhead $1,500.60 $40,123.45 Round to two places, $##.## Cost of Direct Material Incurred in Manufacturing Job 2407 4250 16.55 = $70,337.50 {13.01} 2 $12,029.50 {13.02} 2 $6,014.75 {13.03} 2 $22.15 {13.04} 2 Cost of Direct Labor Incurred in Manufacturing Job 2407 590 9.65 + 640 9.9 Cost of Manufacturing Overhead Applied to Job 2407 12,029.50 0.5 = Cost of manufacturing one lamp Page 14 Tanya Nagesvaran 4455 PART 6 Standard Job Order Costing Variance Analysis Special order lamps are manufactured in division S. Because of the precise nature of the process a standard cost system has been developed. The following standards are used for the special orders: Standards Lamp Kits Direct Labor Variable Overhead ** Fixed Overhead Total $16.000000 2.400000 0.250000 10.000000 $28.650000 per lamp per lamp (4 lamps/hr.) per lamp (4 lamps/hr.) per lamp ** Fixed overhead is based on expected production of 4,005 customized lamps each month. To keep records of the actual cost of a job, a Job Order Cost System has been developed. Entries are made to the Job Order System at actual cost (overhead is applied based on actual labor hours) while entries are made to the accounting system at standard. Variance analysis is used to analyze the differences. Job Order Costing Section On January 1, 20x2, Division S began Job 1101 for the Client, THE BIG CHILDREN STORE. The job called for 4,000 customized lamps. The following set of transactions occurred from January 5 until the job was completed: 5-Jan Purchased 4,225 Lamp Kits @ $16.55 per kit. 9-Jan 4,250 sets of Lamp Kits were requisitioned. 17-Jan Payroll of 590 Direct Labor Hours @ $9.65 per hour. 30-Jan Payroll of 640 Direct Labor Hours @ $9.90 per hour. 30-Jan 3,995 lamps were completed and shipped. All materials requisitioned were used or scrapped. Month End Overhead Information Actual Variable Overhead Actual Fixed Overhead $1,500.60 $40,123.45 Page 15 Tanya Nagesvaran 4455 How many Lamps were completed? Note: Show favorable variances as negative numbers Round dollars to two places, $##.## What was the total material price variance for the Lamp Kits purchased? {15.01} 2 What was the material usage variance for Lamp Kits? {15.02} 2 What was the direct labor efficiency variance ? {15.03} 2 What was the direct labor rate variance? {15.04} 2 Page 16 Tanya Nagesvaran 4455 Note: Show favorable variances as negative numbers What was the variable overhead efficiency variance ? {16.01} 2 What was the variable OH spending variance ? {16.02} 2 What is the fixed OH volume (denominator) variance ? {16.03} 2 What is the fixed OH spending variance? {16.04} 2 Page 17 Tanya Nagesvaran 4455 PART 7 Capital Decision Making Big Al gives his worker's a one hour lunch and two fifteen minute breaks each day. He believes that a cold soda machine would be appreciated by his workers, and an appreciated worker is a good worker. He has priced a machine at a national member only warehouse for $1,900. The machine should be usable for 6 years, after which it would be inefficient, obsolete and would have to be disposed of at the dump. Big Al believes that 5 cans a day will be purchased. The plant is open five days a week, 50 weeks per year. A case of soda (24 cans) costs $6.48 and Big Al believes that a price of $.85 per can would win him good will. What is the estimated annual sales in cans of soda? 1,250 cans {17.01} 0 {17.02} 2 546 cans {17.03} 0 $725.00 {17.04} 2 2.62 years {17.05} 2 $1,080.48 {17.06} 2 {17.07} 3 What is the contribution margin per can of soda? (rounded to two places, $#.##) 6.48/24 0.27 - 0.85 $0.58 How many cans of soda must be sold each year to breakeven? (Round up to zero places, ###,### cans) 1900/6 316.67 / .58 Annual incremental cash inflows from the soda machine? (rounded to two places, $#.##) 1250 0.58 What is the payback period in years? (rounded to two places, #.## years) 1900/725 If the time value of money is 12% per year what is the net present value? Use the tables on page 18. 725(4.111) 2980.48 -1900 What is the internal rate of return. Pick the closest interest rate from the tables on page 18. 30.50% Page 18 6 Interest Rate 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 10.5% 11.0% 11.5% 12.0% 12.5% 13.0% 13.5% 14.0% 14.5% 15.0% 15.5% 16.0% 16.5% 17.0% 17.5% 18.0% 18.5% 19.0% 19.5% 20.0% 20.5% 21.0% 21.5% 22.0% 22.5% 23.0% 23.5% 24.0% 24.5% 25.0% 25.5% 26.0% 26.5% 27.0% 27.5% 28.0% 28.5% 29.0% 29.5% 30.0% 30.5% 31.0% 31.5% 32.0% 32.5% 33.0% 33.5% 34.0% 34.5% 35.0% 35.5% 36.0% 36.5% 37.0% 37.5% 38.0% 38.5% 39.0% 39.5% 40.0% 40.5% 41.0% 41.5% 42.0% 42.5% 43.0% 43.5% 44.0% 44.5% 45.0% 45.5% 46.0% 46.5% 47.0% 47.5% 48.0% 48.5% 49.0% 49.5% 50.0% 3 2.884 2.856 2.829 2.802 2.775 2.749 2.723 2.698 2.673 2.648 2.624 2.601 2.577 2.554 2.531 2.509 2.487 2.465 2.444 2.423 2.402 2.381 2.361 2.341 2.322 2.302 2.283 2.264 2.246 2.228 2.210 2.192 2.174 2.157 2.140 2.123 2.106 2.090 2.074 2.058 2.042 2.027 2.011 1.996 1.981 1.967 1.952 1.938 1.923 1.909 1.896 1.882 1.868 1.855 1.842 1.829 1.816 1.803 1.791 1.779 1.766 1.754 1.742 1.730 1.719 1.707 1.696 1.685 1.673 1.662 1.652 1.641 1.630 1.620 1.609 1.599 1.589 1.579 1.569 1.559 1.549 1.540 1.530 1.521 1.512 1.502 1.493 1.484 1.475 1.467 1.458 1.449 1.441 1.432 1.424 1.416 1.407 Present Value of Annuity $1.00 in Arrears Periods Periods Interest 4 3.808 3.762 3.717 3.673 3.630 3.588 3.546 3.505 3.465 3.426 3.387 3.349 3.312 3.276 3.240 3.204 3.170 3.136 3.102 3.070 3.037 3.006 2.974 2.944 2.914 2.884 2.855 2.826 2.798 2.770 2.743 2.716 2.690 2.664 2.639 2.613 2.589 2.564 2.540 2.517 2.494 2.471 2.448 2.426 2.404 2.383 2.362 2.341 2.320 2.300 2.280 2.260 2.241 2.222 2.203 2.185 2.166 2.148 2.130 2.113 2.096 2.079 2.062 2.045 2.029 2.013 1.997 1.981 1.966 1.951 1.935 1.921 1.906 1.892 1.877 1.863 1.849 1.836 1.822 1.809 1.795 1.782 1.769 1.757 1.744 1.732 1.720 1.707 1.695 1.684 1.672 1.660 1.649 1.638 1.627 1.616 1.605 5 4.713 4.646 4.580 4.515 4.452 4.390 4.329 4.270 4.212 4.156 4.100 4.046 3.993 3.941 3.890 3.840 3.791 3.743 3.696 3.650 3.605 3.561 3.517 3.475 3.433 3.392 3.352 3.313 3.274 3.236 3.199 3.163 3.127 3.092 3.058 3.024 2.991 2.958 2.926 2.895 2.864 2.833 2.803 2.774 2.745 2.717 2.689 2.662 2.635 2.609 2.583 2.557 2.532 2.507 2.483 2.459 2.436 2.412 2.390 2.367 2.345 2.324 2.302 2.281 2.260 2.240 2.220 2.200 2.181 2.162 2.143 2.124 2.106 2.088 2.070 2.052 2.035 2.018 2.001 1.985 1.969 1.953 1.937 1.921 1.906 1.890 1.876 1.861 1.846 1.832 1.818 1.804 1.790 1.776 1.763 1.750 1.737 6 5.601 5.508 5.417 5.329 5.242 5.158 5.076 4.996 4.917 4.841 4.767 4.694 4.623 4.554 4.486 4.420 4.355 4.292 4.231 4.170 4.111 4.054 3.998 3.943 3.889 3.836 3.784 3.734 3.685 3.636 3.589 3.543 3.498 3.453 3.410 3.367 3.326 3.285 3.245 3.205 3.167 3.129 3.092 3.056 3.020 2.986 2.951 2.918 2.885 2.853 2.821 2.790 2.759 2.729 2.700 2.671 2.643 2.615 2.588 2.561 2.534 2.508 2.483 2.458 2.433 2.409 2.385 2.362 2.339 2.316 2.294 2.272 2.251 2.229 2.209 2.188 2.168 2.148 2.129 2.109 2.091 2.072 2.054 2.036 2.018 2.000 1.983 1.966 1.949 1.933 1.917 1.901 1.885 1.870 1.854 1.839 1.824 Rate 50.5% 51.0% 51.5% 52.0% 52.5% 53.0% 53.5% 54.0% 54.5% 55.0% 55.5% 56.0% 56.5% 57.0% 57.5% 58.0% 58.5% 59.0% 59.5% 60.0% 60.5% 61.0% 61.5% 62.0% 62.5% 63.0% 63.5% 64.0% 64.5% 65.0% 65.5% 66.0% 66.5% 67.0% 67.5% 68.0% 68.5% 69.0% 69.5% 70.0% 70.5% 71.0% 71.5% 72.0% 72.5% 73.0% 73.5% 74.0% 74.5% 75.0% 75.5% 76.0% 76.5% 77.0% 77.5% 78.0% 78.5% 79.0% 79.5% 80.0% 80.5% 81.0% 81.5% 82.0% 82.5% 83.0% 83.5% 84.0% 84.5% 85.0% 85.5% 86.0% 86.5% 87.0% 87.5% 88.0% 88.5% 89.0% 89.5% 90.0% 90.5% 91.0% 91.5% 92.0% 92.5% 93.0% 93.5% 94.0% 94.5% 95.0% 95.5% 96.0% 96.5% 97.0% 97.5% 98.0% 98.5% 99.0% 99.5% 100.0% Periods 3 1.399 1.391 1.383 1.375 1.368 1.360 1.352 1.345 1.337 1.330 1.323 1.315 1.308 1.301 1.294 1.287 1.280 1.273 1.266 1.260 1.253 1.247 1.240 1.234 1.227 1.221 1.214 1.208 1.202 1.196 1.190 1.184 1.178 1.172 1.166 1.160 1.155 1.149 1.143 1.138 1.132 1.127 1.121 1.116 1.111 1.105 1.100 1.095 1.090 1.085 1.079 1.074 1.069 1.064 1.060 1.055 1.050 1.045 1.040 1.036 1.031 1.026 1.022 1.017 1.013 1.008 1.004 0.999 0.995 0.991 0.986 0.982 0.978 0.974 0.969 0.965 0.961 0.957 0.953 0.949 0.945 0.941 0.937 0.933 0.930 0.926 0.922 0.918 0.914 0.911 0.907 0.903 0.900 0.896 0.893 0.889 0.885 0.882 0.878 0.875 If off the chart use 100% 4 1.594 1.584 1.573 1.563 1.553 1.542 1.532 1.523 1.513 1.503 1.494 1.484 1.475 1.466 1.457 1.447 1.439 1.430 1.421 1.412 1.404 1.395 1.387 1.379 1.371 1.362 1.354 1.347 1.339 1.331 1.323 1.316 1.308 1.301 1.293 1.286 1.279 1.272 1.265 1.258 1.251 1.244 1.237 1.230 1.224 1.217 1.210 1.204 1.198 1.191 1.185 1.179 1.172 1.166 1.160 1.154 1.148 1.143 1.137 1.131 1.125 1.120 1.114 1.108 1.103 1.097 1.092 1.087 1.081 1.076 1.071 1.066 1.061 1.055 1.050 1.045 1.040 1.036 1.031 1.026 1.021 1.016 1.012 1.007 1.002 0.998 0.993 0.989 0.984 0.980 0.975 0.971 0.967 0.962 0.958 0.954 0.950 0.946 0.942 0.938 5 1.724 1.711 1.698 1.686 1.674 1.662 1.650 1.638 1.626 1.615 1.604 1.592 1.581 1.570 1.560 1.549 1.539 1.528 1.518 1.508 1.498 1.488 1.478 1.468 1.459 1.449 1.440 1.431 1.422 1.413 1.404 1.395 1.386 1.378 1.369 1.361 1.352 1.344 1.336 1.328 1.320 1.312 1.304 1.297 1.289 1.281 1.274 1.267 1.259 1.252 1.245 1.238 1.231 1.224 1.217 1.210 1.204 1.197 1.190 1.184 1.177 1.171 1.165 1.158 1.152 1.146 1.140 1.134 1.128 1.122 1.116 1.111 1.105 1.099 1.094 1.088 1.082 1.077 1.072 1.066 1.061 1.056 1.050 1.045 1.040 1.035 1.030 1.025 1.020 1.015 1.010 1.006 1.001 0.996 0.992 0.987 0.982 0.978 0.973 0.969 6 1.810 1.795 1.781 1.767 1.753 1.740 1.726 1.713 1.700 1.687 1.674 1.662 1.649 1.637 1.625 1.613 1.602 1.590 1.579 1.567 1.556 1.545 1.534 1.524 1.513 1.503 1.492 1.482 1.472 1.462 1.452 1.443 1.433 1.424 1.414 1.405 1.396 1.387 1.378 1.369 1.361 1.352 1.344 1.335 1.327 1.319 1.311 1.303 1.295 1.287 1.279 1.272 1.264 1.256 1.249 1.242 1.235 1.227 1.220 1.213 1.206 1.199 1.193 1.186 1.179 1.173 1.166 1.160 1.153 1.147 1.141 1.135 1.129 1.123 1.117 1.111 1.105 1.099 1.093 1.087 1.082 1.076 1.071 1.065 1.060 1.054 1.049 1.044 1.039 1.033 1.028 1.023 1.018 1.013 1.008 1.003 0.999 0.994 0.989 0.984 Factor 0.989 0.994 0.999 1.003 1.008 1.013 1.018 1.023 1.028 1.033 1.039 1.044 1.049 1.054 1.060 1.065 1.071 1.076 1.082 1.087 1.093 1.099 1.105 1.111 1.117 1.123 1.129 1.135 1.141 1.147 1.153 1.160 1.166 1.173 1.179 1.186 1.193 1.199 1.206 1.213 1.220 1.227 1.235 1.242 1.249 1.256 1.264 1.272 1.279 1.287 1.295 1.303 1.311 1.319 1.327 1.335 1.344 1.352 1.361 1.369 1.378 1.387 1.396 1.405 1.414 1.424 1.433 1.443 1.452 1.462 1.472 1.482 1.492 1.503 1.513 1.524 1.534 1.545 1.556 1.567 1.579 1.590 1.602 1.613 1.625 1.637 1.649 1.662 1.674 1.687 1.700 1.713 1.726 1.740 1.753 1.767 1.781 1.795 1.810 1.824 1.839 1.854 1.870 1.885 1.901 1.917 1.933 1.949 1.966 1.983 2.000 2.018 2.036 2.054 2.072 2.091 2.109 2.129 2.148 2.168 2.188 2.209 2.229 2.251 2.272 2.294 2.316 2.339 2.362 2.385 2.409 2.433 2.458 2.483 2.508 2.534 2.561 2.588 2.615 2.643 2.671 2.700 2.729 2.759 2.790 2.821 2.853 2.885 2.918 2.951 2.986 3.020 3.056 3.092 3.129 3.167 3.205 3.245 3.285 3.326 3.367 3.410 3.453 3.498 3.543 3.589 3.636 3.685 3.734 3.784 3.836 3.889 3.943 3.998 4.054 4.111 4.170 4.231 4.292 4.355 4.420 4.486 4.554 4.623 4.694 4.767 4.841 4.917 4.996 5.076 5.158 5.242 5.329 5.417 5.508 5.601 5.697 5.795 5.896 5.683 Interest Rate 100.0% 99.5% 99.0% 98.5% 98.0% 97.5% 97.0% 96.5% 96.0% 95.5% 95.0% 94.5% 94.0% 93.5% 93.0% 92.5% 92.0% 91.5% 91.0% 90.5% 90.0% 89.5% 89.0% 88.5% 88.0% 87.5% 87.0% 86.5% 86.0% 85.5% 85.0% 84.5% 84.0% 83.5% 83.0% 82.5% 82.0% 81.5% 81.0% 80.5% 80.0% 79.5% 79.0% 78.5% 78.0% 77.5% 77.0% 76.5% 76.0% 75.5% 75.0% 74.5% 74.0% 73.5% 73.0% 72.5% 72.0% 71.5% 71.0% 70.5% 70.0% 69.5% 69.0% 68.5% 68.0% 67.5% 67.0% 66.5% 66.0% 65.5% 65.0% 64.5% 64.0% 63.5% 63.0% 62.5% 62.0% 61.5% 61.0% 60.5% 60.0% 59.5% 59.0% 58.5% 58.0% 57.5% 57.0% 56.5% 56.0% 55.5% 55.0% 54.5% 54.0% 53.5% 53.0% 52.5% 52.0% 51.5% 51.0% 50.5% 50.0% 49.5% 49.0% 48.5% 48.0% 47.5% 47.0% 46.5% 46.0% 45.5% 45.0% 44.5% 44.0% 43.5% 43.0% 42.5% 42.0% 41.5% 41.0% 40.5% 40.0% 39.5% 39.0% 38.5% 38.0% 37.5% 37.0% 36.5% 36.0% 35.5% 35.0% 34.5% 34.0% 33.5% 33.0% 32.5% 32.0% 31.5% 31.0% 30.5% 30.0% 29.5% 29.0% 28.5% 28.0% 27.5% 27.0% 26.5% 26.0% 25.5% 25.0% 24.5% 24.0% 23.5% 23.0% 22.5% 22.0% 21.5% 21.0% 20.5% 20.0% 19.5% 19.0% 18.5% 18.0% 17.5% 17.0% 16.5% 16.0% 15.5% 15.0% 14.5% 14.0% 13.5% 13.0% 12.5% 12.0% 11.5% 11.0% 10.5% 10.0% 9.5% 9.0% 8.5% 8.0% 7.5% 7.0% 6.5% 6.0% 5.5% 5.0% 4.5% 4.0% 3.5% 3.0% 2.5% 2.0% 1.5% 1.0% 0.5% 0.0% Interest Rate 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 10.5% 11.0% 11.5% 12.0% 12.5% 13.0% 13.5% 14.0% 14.5% 15.0% 15.5% 16.0% 16.5% 17.0% 17.5% 18.0% 18.5% 19.0% 19.5% 20.0% 20.5% 21.0% 21.5% 22.0% 22.5% 23.0% 23.5% 24.0% 24.5% 25.0% 25.5% 26.0% 26.5% 27.0% 27.5% 28.0% 28.5% 29.0% 29.5% 30.0% 30.5% 31.0% 31.5% 32.0% 32.5% 33.0% 33.5% 34.0% 34.5% 35.0% 35.5% 36.0% 36.5% 37.0% 37.5% 38.0% 38.5% 39.0% 39.5% 40.0% 40.5% 41.0% 41.5% 42.0% 42.5% 43.0% 43.5% 44.0% 44.5% 45.0% 45.5% 46.0% 46.5% 47.0% 47.5% 48.0% 48.5% 49.0% 49.5% 50.0% 50.5% 51.0% 51.5% 52.0% 52.5% 53.0% 53.5% 54.0% 54.5% 55.0% 55.5% 56.0% 56.5% 57.0% 57.5% 58.0% 58.5% 59.0% 59.5% 60.0% 60.5% 61.0% 61.5% 62.0% 62.5% 63.0% 63.5% 64.0% 64.5% 65.0% 65.5% 66.0% 66.5% 67.0% 67.5% 68.0% 68.5% 69.0% 69.5% 70.0% 70.5% 71.0% 71.5% 72.0% 72.5% 73.0% 73.5% 74.0% 74.5% 75.0% 75.5% 76.0% 76.5% 77.0% 77.5% 78.0% 78.5% 79.0% 79.5% 80.0% 80.5% 81.0% 81.5% 82.0% 82.5% 83.0% 83.5% 84.0% 84.5% 85.0% 85.5% 86.0% 86.5% 87.0% 87.5% 88.0% 88.5% 89.0% 89.5% 90.0% 90.5% 91.0% 91.5% 92.0% 92.5% 93.0% 93.5% 94.0% 94.5% 95.0% 95.5% 96.0% 96.5% 97.0% 97.5% 98.0% 98.5% 99.0% 99.5% 100.0% Factor 5.601 5.508 5.417 5.329 5.242 5.158 5.076 4.996 4.917 4.841 4.767 4.694 4.623 4.554 4.486 4.420 4.355 4.292 4.231 4.170 4.111 4.054 3.998 3.943 3.889 3.836 3.784 3.734 3.685 3.636 3.589 3.543 3.498 3.453 3.410 3.367 3.326 3.285 3.245 3.205 3.167 3.129 3.092 3.056 3.020 2.986 2.951 2.918 2.885 2.853 2.821 2.790 2.759 2.729 2.700 2.671 2.643 2.615 2.588 2.561 2.534 2.508 2.483 2.458 2.433 2.409 2.385 2.362 2.339 2.316 2.294 2.272 2.251 2.229 2.209 2.188 2.168 2.148 2.129 2.109 2.091 2.072 2.054 2.036 2.018 2.000 1.983 1.966 1.949 1.933 1.917 1.901 1.885 1.870 1.854 1.839 1.824 1.810 1.795 1.781 1.767 1.753 1.740 1.726 1.713 1.700 1.687 1.674 1.662 1.649 1.637 1.625 1.613 1.602 1.590 1.579 1.567 1.556 1.545 1.534 1.524 1.513 1.503 1.492 1.482 1.472 1.462 1.452 1.443 1.433 1.424 1.414 1.405 1.396 1.387 1.378 1.369 1.361 1.352 1.344 1.335 1.327 1.319 1.311 1.303 1.295 1.287 1.279 1.272 1.264 1.256 1.249 1.242 1.235 1.227 1.220 1.213 1.206 1.199 1.193 1.186 1.179 1.173 1.166 1.160 1.153 1.147 1.141 1.135 1.129 1.123 1.117 1.111 1.105 1.099 1.093 1.087 1.082 1.076 1.071 1.065 1.060 1.054 1.049 1.044 1.039 1.033 1.028 1.023 1.018 1.013 1.008 1.003 0.999 0.994 0.989 0.984
