Excel Finance
Plan
| Financial Planning Worksheet | ||||||||
| If you do the things you need to do when you need to do them, then someday you | ||||||||
| can do the things you want to do when you want to do them' - Zig Ziglar | ||||||||
| Time | 0 - 2 Years | 2 - 4 Years | 4 - 6 Years | 6 - 8 Years | 8 - 10 Years | |||
| Income | Salary | |||||||
| Self | ||||||||
| Gross | 40,000.00 | 48,500.00 | 58,850.00 | 70,662.00 | 99,573.00 | |||
| Net | 28,000.00 | 33,950.00 | 41,195.00 | 49,463.40 | 69,701.10 | |||
| Spouse | ||||||||
| Gross | - 0 | - 0 | - 0 | |||||
| Net | - 0 | - 0 | - 0 | |||||
| Monthly | 2,333.33 | 2,829.17 | 3,432.92 | 4,121.95 | 5,808.42 | |||
| Self-employment | ||||||||
| Investment (interest/dividends) | ||||||||
| Rents/real estate | ||||||||
| Other/specify | ||||||||
| Total Income | 2,333.33 | 2,829.17 | 3,432.92 | 4,121.95 | 5,808.42 | |||
| Expense | Four Walls * | |||||||
| Food | ||||||||
| Grocery | 200.00 | 250 | 300 | 350 | 400 | |||
| Restaurants | 50.00 | 75 | 100 | 125 | 150 | |||
| Housing | ||||||||
| Rent | 700.00 | 800 | 900 | |||||
| Home | 997.50 | 1,166.67 | ||||||
| Real Estate Taxes | 335.00 | 450.00 | ||||||
| Capital Repairs (Roof, furnace,electrical, plumbing) | 50.00 | 50.00 | ||||||
| Homeowners/mortgage insurance | 150.00 | 175.00 | ||||||
| Maintenance | 100.00 | 100.00 | ||||||
| Utilities | ||||||||
| Heat/air | 75.00 | 100 | 150 | 175 | 175 | |||
| Phone | 50.00 | 75 | 100 | 125 | 150 | |||
| Cable/Internet | 40.00 | 50 | 60 | 75 | 100 | |||
| Transportation | ||||||||
| Car payment | 396.00 | 396.00 | 396.00 | - 0 | 792.00 | |||
| Operating expense | 160.00 | 184.00 | 211.60 | 243.34 | 279.84 | |||
| Auto Insurance | 173.00 | 173.00 | 173.00 | 173.00 | 173.00 | |||
| Total Necessities | 1,844.00 | 2,103.00 | 2,390.60 | 2,898.84 | 4,161.51 | |||
| Base discretionary income | 489.33 | 726.17 | 1,042.32 | 1,223.11 | 1,646.91 | |||
| Clothing | ||||||||
| Self | 50.00 | 75.00 | 100.00 | 125.00 | 150.00 | |||
| Spouse | ||||||||
| Children | ||||||||
| Medical/Dental | ||||||||
| Medical | 25.00 | 35.00 | 50.00 | 75.00 | 100.00 | |||
| Dental | 15.00 | 20.00 | 25.00 | 30.00 | 35.00 | |||
| Eye care | 15.00 | 20.00 | 20.00 | 20.00 | ||||
| Prescriptions | 25.00 | 25.00 | 25.00 | |||||
| Personal | ||||||||
| Hair care | 15.00 | 20.00 | 25.00 | 30.00 | 30.00 | |||
| Subscriptions/dues | 25.00 | 35.00 | 50.00 | 65.00 | 65.00 | |||
| Hobbies/misc. | 25.00 | 35.00 | 60.00 | 80.00 | 100.00 | |||
| Other | ||||||||
| Gifts | ||||||||
| Entertainment | 50.00 | 75.00 | 100.00 | 125.00 | 250.00 | |||
| Vacation | - 0 | 75.00 | 90.00 | 100.00 | 150.00 | |||
| Debt | ||||||||
| Credit cards | ||||||||
| Student Loan | 170.78 | 170.78 | 170.78 | 170.78 | 170.78 | |||
| Other | ||||||||
| Insurance/Risk Management (other than auto) | ||||||||
| Health Insurance | 100.00 | 150.00 | 200.00 | 250.00 | 300.00 | |||
| Disability | ||||||||
| Term life | ||||||||
| Total discretionary spending | 475.78 | 705.78 | 915.78 | 1,095.78 | 1,395.78 | |||
| 'Operating' Net | 13.56 | 20.39 | 126.54 | 127.33 | 251.14 | |||
| * Dave Ramsey, The Lampo Group, 1994 | ||||||||
| 0 - 2 Years | 2 - 4 Years | 4 - 6 Years | 6 - 8 Years | 8 - 10 Years | ||||
| Investments | ||||||||
| Savings | ||||||||
| $1,000 Emergency Fund | ||||||||
| Pay-off all debt (except house) | ||||||||
| $10 -15,000 cash savings (3-6 months living expense) | ||||||||
| Invest 15% of household income in IRA's | ||||||||
| Pay off home early | ||||||||
| Wealth-Building | ||||||||
| Investments | ||||||||
| Financial | ||||||||
| Certificates of Deposit | ||||||||
| Bonds/Notes | ||||||||
| Stocks | ||||||||
| Mutual Funds | ||||||||
| Derivatives | ||||||||
| Other | ||||||||
| Non-financial | ||||||||
| Real Estate | ||||||||
| Other | ||||||||
| Retirement | ||||||||
| Educational | ||||||||
| Tax Planning | ||||||||
| Estate (Business Succession) Planning | ||||||||
| Charitable Giving | ||||||||
| * Dave Ramsey, The Lampo Group, 1994 | ||||||||
| 0 - 2 Years | 2 - 4 Years | 4 - 6 Years | 6 - 8 Years | 8 - 10 Years | ||||
| Assets | ||||||||
| Current | ||||||||
| Cash | ||||||||
| Money Market | ||||||||
| Other | ||||||||
| Investment | ||||||||
| Financial | ||||||||
| Certificates of Deposit | ||||||||
| Bonds/Notes | ||||||||
| Stocks | ||||||||
| Mutual Funds | ||||||||
| Derivatives | ||||||||
| Other | ||||||||
| Non-Financial | ||||||||
| Real Estate | ||||||||
| Other | ||||||||
| Retirement | ||||||||
| 401K | ||||||||
| IRA | ||||||||
| Other | ||||||||
| Household/Personal | ||||||||
| Automobiles | ||||||||
| Furnishings | ||||||||
| Antiques/Valuables | ||||||||
| Other | ||||||||
| Liabilities | ||||||||
| Current | ||||||||
| Credit Cards | ||||||||
| Auto Loans | ||||||||
| Other Loans | ||||||||
| Long-term | ||||||||
| Mortgage | ||||||||
| Student Loan | ||||||||
| Equity | ||||||||
| Net Worth | ||||||||
Income
| Professional Services (Accounting, Finance, Consulting) | ||||||||||||||||||||
| Billing Hours Template | ||||||||||||||||||||
| Years 0- 2 | Years 2-4 | Years 4-6 | Years 6-8 | Years 8-10 | ||||||||||||||||
| Hourly rate | 60 | 70 | 75 | 80 | 85 | 90 | 95 | 110 | 125 | 125 | 140 | 165 | 165 | 180 | 200 | |||||
| Hours worked per year | ||||||||||||||||||||
| Hours per week | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | 55 | |||||
| Total annual hours | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | 2,750 | |||||
| Realization rate | 0.6 | 0.65 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.7 | 0.8 | 0.85 | 0.9 | |||||
| Total billable hours | 1,650 | 1,788 | 1,925 | 1,925 | 1,925 | 1,925 | 1,925 | 1,925 | 1,925 | 1,925 | 1,925 | 1,925 | 2,200 | 2,338 | 2,475 | |||||
| Percentage of 2,000 hour base | 0.825 | 0.894 | 0.962 | 0.962 | 0.962 | 0.962 | 0.962 | 0.962 | 0.962 | 0.962 | 0.962 | 0.962 | 1.100 | 1.169 | 1.238 | |||||
| Total revenues generated | 99,000 | 125,125 | 144,375 | 154,000 | 163,625 | 173,250 | 182,875 | 211,750 | 240,625 | 240,625 | 269,500 | 317,625 | 363,000 | 420,750 | 495,000 | |||||
| Revenue/salary ratio | 3 | 3 | 3 | 3 | 3 | 3 | 2.5 | 2.5 | 2.5 | 1.9 | 1.9 | 1.9 | 1.7 | 1.7 | 1.7 | |||||
| Estimated potential salary | 33,000 | 41,708 | 48,125 | 51,333 | 54,542 | 57,750 | 73,150 | 84,700 | 96,250 | 126,645 | 141,842 | 167,171 | 213,529 | 247,500 | 291,176 | |||||
| Overhead/profit contribution | 66,000 | 83,417 | 96,250 | 102,667 | 109,083 | 115,500 | 109,725 | 127,050 | 144,375 | 113,980 | 127,658 | 150,454 | 149,471 | 173,250 | 203,824 | |||||
| Billing Hours Template | ||||||||||||||||||||
| Years 4-6 | Years 6-8 | Years 8-10 | ||||||||||||||||||
| Hourly rate | 95 | 125 | 125 | 135 | 150 | 165 | 165 | 180 | 200 | |||||||||||
| Hours worked per year | ||||||||||||||||||||
| Hours per week | 50 | 82.333 | 50 | 50 | 52.5 | 52.5 | 55 | 55 | 55 | |||||||||||
| Total annual hours | 2,500 | 4,117 | 2,500 | 2,500 | 2,625 | 2,625 | 2,750 | 2,750 | 2,750 | |||||||||||
| Realization rate | 0.7 | 0.7 | 0.7 | 0 | 0.7 | 0.7 | 0.7 | 0 | 0.8 | 0.85 | 0.9 | |||||||||
| Total billable hours | 1,750 | 2,882 | 1,750 | 1,750 | 1,837 | 1,837 | 2,200 | 2,338 | 2,475 | |||||||||||
| Percentage of 2,000 hour base | 0.875 | 1.441 | 0.875 | 0.875 | 0.919 | 0.919 | 1.100 | 1.169 | 1.238 | |||||||||||
| Total revenues generated | 166,250 | 360,207 | 218,750 | 236,250 | 275,625 | 303,187 | 363,000 | 420,750 | 495,000 | |||||||||||
| Revenue/salary ratio | 4 | 3.25 | 3.25 | 3.25 | 3.25 | 1.9 | 1.7 | 1.7 | 1.7 | |||||||||||
| Estimated potential salary | 41,563 | 110,833 | 67,308 | 72,692 | 84,808 | 159,572 | 213,529 | 247,500 | 291,176 | |||||||||||
| Overhead/profit contribution | 124,688 | 249,374 | 151,442 | 163,558 | 190,817 | 143,615 | 149,471 | 173,250 | 203,824 |
CVP
| 2.0 points this sheet | ||||||||||
| Sell | 100.000 | 90.00 | ||||||||
| Cost | 70.000 | 70.000 | ||||||||
| GM | 30.000 | 20.000 | ||||||||
| GM% | ||||||||||
| Cost + | ||||||||||
| Convert from Gross Margin Percentage to Cost + Percentage | ||||||||||
| GM% | 0.1000 | 0.1500 | 0.2000 | 0.2500 | 0.3000 | 0.3333 | 0.3500 | 0.4000 | 0.4500 | 0.5000 |
| Cost + % | ||||||||||
| Formula: | 1/(1-GM%) | |||||||||
| Convert from Cost + % to Gross Margin Percentage | ||||||||||
| Cost + % | ||||||||||
| GM % | ||||||||||
| Formula: | (Cost + % -1)/Cost + % | |||||||||
| a. Selling price & GM | ||||||||||
| b. Markup % | ||||||||||
| c. Revenue, COGS, GM template | ||||||||||
| Custom | Standard | Deluxe | Total | |||||||
| Sell | ||||||||||
| Cost | 300.00 | 400.00 | 500.00 | |||||||
| GM | (300.00) | (400.00) | (500.00) | |||||||
| Cost + | 1.4 | 1.50 | 1.85 | |||||||
| Markup % | ||||||||||
| Units | 110 | 165 | 125 | 400.00 | ||||||
| Revenues | - 0 | |||||||||
| Costs | - 0 | |||||||||
| GM | - 0 | - 0 | - 0 | - 0 | ||||||
| If Thunder cuts its price by 8% on each item, how much of a volume increase will be needed to restore the | ||||||||||
| original profit level? | ||||||||||
| Volume % increase | ||||||||||
| Custom | Standard | Deluxe | ||||||||
| Sell | - 0 | - 0 | - 0 | |||||||
| Cost | 300.00 | 400.00 | 500.00 | |||||||
| GM | (300.00) | (400.00) | (500.00) | |||||||
| Cost + | ||||||||||
| Markup % | ||||||||||
| Units | - 0 | |||||||||
| Revenues | - 0 | |||||||||
| Costs | - 0 | |||||||||
| GM | - 0 | - 0 | - 0 | - 0 | ||||||
| If Thunder increases its price by 12% on each item, how much of a volume decrease could it sustain | ||||||||||
| before falling before the original profit level? | ||||||||||
| Volume % decrease | ||||||||||
| Custom | Standard | Deluxe | ||||||||
| Sell | - 0 | - 0 | - 0 | |||||||
| Cost | 300.00 | 400.00 | 500.00 | |||||||
| GM | (300.00) | (400.00) | (500.00) | |||||||
| Cost + | ||||||||||
| Markup % | ||||||||||
| Units | - 0 | |||||||||
| Revenues | - 0 | |||||||||
| Costs | - 0 | |||||||||
| GM | - 0 | - 0 | - 0 | - 0 | ||||||
AMT
| 2.0 points this sheet | ||||||||||||
| Please construct the amortization schedules below to zero-out a 20-month note | ||||||||||||
| Loan | 100,000 | Loan | 100,000 | |||||||||
| Annual rate | 0.12 | Annual rate | 0.12 | |||||||||
| Monthly rate | Monthly rate | |||||||||||
| Periods | 20 | Periods | 20 | |||||||||
| PVANF | PVANF | |||||||||||
| Excel pmt | Excel pmt | |||||||||||
| Date | Interest | Payment | Amort | Balance | Date | Interest | Payment | Amort | Balance | |||
| 0 | 100,000.00 | 0 | 100,000.00 | |||||||||
| 1 | 1 | |||||||||||
| 2 | 2 | |||||||||||
| 3 | 3 | |||||||||||
| 4 | $30,000.00 | 80,000.00 | 4 | |||||||||
| 5 | 5 | |||||||||||
| 6 | 6 | |||||||||||
| 7 | 7 | |||||||||||
| 8 | $15,000.00 | 60,000.00 | 8 | |||||||||
| 9 | 9 | |||||||||||
| 10 | 10 | |||||||||||
| 11 | 11 | |||||||||||
| 12 | $10,000.00 | 40,000.00 | 12 | |||||||||
| 13 | 13 | |||||||||||
| 14 | 14 | |||||||||||
| 15 | 15 | |||||||||||
| 16 | $10,000.00 | 20,000.00 | 16 | |||||||||
| 17 | 17 | |||||||||||
| 18 | 18 | |||||||||||
| 19 | 19 | |||||||||||
| 20 | $10,000.00 | - 0 | 20 | |||||||||
Pension
| 2.0 points this sheet | |||||||||||||||||||||
| Your client turned 35 today and has asked you to help plan for retirement beginning at age 65. The client's goal is to fund a 25 year | |||||||||||||||||||||
| retirement at the inflation-adjusted equivalent of his current salary of | 70,000 | per year to be paid at the beginning of each year. | |||||||||||||||||||
| Inflation during all periods is estimated at | 3% | and you are recommending an investment account which | |||||||||||||||||||
| will pay | 5.5% | during the next 50 years. | |||||||||||||||||||
| a. How much must your client have invested in the retirement account on his 65th birthday to fund it? | |||||||||||||||||||||
| Age | 35 | ||||||||||||||||||||
| Retire | 65 | ||||||||||||||||||||
| Current Salary | 70,000 | ||||||||||||||||||||
| Inflation | 3% | ||||||||||||||||||||
| Retirement | 20 | ||||||||||||||||||||
| Salary Equiv | |||||||||||||||||||||
| Rate | 5.5% | ||||||||||||||||||||
| Real Rate | |||||||||||||||||||||
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | ||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | |
| Pmts | |||||||||||||||||||||
| Present Value | |||||||||||||||||||||
| b. The senior partner on the client account has asked you to complete four schedules below: the first two to confirm your | |||||||||||||||||||||
| figure above, and the second set to establish how much must be deposited at the end of each of the next 30 years in order | |||||||||||||||||||||
| to accumulate the necessary amount. | |||||||||||||||||||||
| Schedule A | Level Payments (1.0) | Schedule B | Increasing Payments | ||||||||||||||||||
| Date | Interest | Pmt | Amt | Balance | Date | Interest | Pmt | Amt | Balance | ||||||||||||
| 0 | 0 | ||||||||||||||||||||
| 1 | 1 | ||||||||||||||||||||
| 2 | 2 | ||||||||||||||||||||
| 3 | 3 | ||||||||||||||||||||
| 4 | 4 | ||||||||||||||||||||
| 5 | 5 | ||||||||||||||||||||
| 6 | 6 | ||||||||||||||||||||
| 7 | 7 | ||||||||||||||||||||
| 8 | 8 | ||||||||||||||||||||
| 9 | 9 | ||||||||||||||||||||
| 10 | 10 | ||||||||||||||||||||
| 11 | 11 | ||||||||||||||||||||
| 12 | 12 | ||||||||||||||||||||
| 13 | 13 | ||||||||||||||||||||
| 14 | 14 | ||||||||||||||||||||
| 15 | 15 | ||||||||||||||||||||
| 16 | 16 | ||||||||||||||||||||
| 17 | 17 | ||||||||||||||||||||
| 18 | 18 | ||||||||||||||||||||
| 19 | 19 | ||||||||||||||||||||
| Schedule C | Payment at beginning of year | Beg cash | |||||||||||||||||||
| FVANF | BYP | ||||||||||||||||||||
| Schedule C : Construct schedule as serial annuity growing at 3% and earning 5.5% | |||||||||||||||||||||
| Date | Interest | Pmt | Balance | Payment at end of year. | |||||||||||||||||
| 0 | |||||||||||||||||||||
| 1 | Date | Interest | Pmt | Balance | |||||||||||||||||
| 2 | 1 | ||||||||||||||||||||
| 3 | 2 | ||||||||||||||||||||
| 4 | 3 | ||||||||||||||||||||
| 5 | 4 | ||||||||||||||||||||
| 6 | 5 | ||||||||||||||||||||
| 7 | 6 | ||||||||||||||||||||
| 8 | 7 | ||||||||||||||||||||
| 9 | 8 | ||||||||||||||||||||
| 10 | 9 | ||||||||||||||||||||
| 11 | 10 | ||||||||||||||||||||
| 12 | 11 | ||||||||||||||||||||
| 13 | 12 | ||||||||||||||||||||
| 14 | 13 | ||||||||||||||||||||
| 15 | 14 | ||||||||||||||||||||
| 16 | 15 | ||||||||||||||||||||
| 17 | 16 | ||||||||||||||||||||
| 18 | 17 | ||||||||||||||||||||
| 19 | 18 | ||||||||||||||||||||
| 20 | 19 | ||||||||||||||||||||
| 21 | 20 | ||||||||||||||||||||
| 22 | 21 | ||||||||||||||||||||
| 23 | 22 | ||||||||||||||||||||
| 24 | 23 | ||||||||||||||||||||
| 25 | 24 | ||||||||||||||||||||
| 26 | 25 | ||||||||||||||||||||
| 27 | 26 | ||||||||||||||||||||
| 28 | 27 | ||||||||||||||||||||
| 29 | 28 | ||||||||||||||||||||
| 30 | 29 | ||||||||||||||||||||
| 30 |
Serial
| 3.0 points this sheet | |||||||||
| 1. Your client has received an offer to buy his dental practice for | 875,000.00 | and the buyer has proposed the | |||||||
| payment schedule shown below, seven payments of | 75,000.00 | at the end of each of the next | |||||||
| seven years and a final payment of | 350,000.00 | ||||||||
| The client believes that 8% is a reasonable return on his money over the next eight years. | |||||||||
| a. How much has the buyer 'really' offered your client? | |||||||||
| b. How much must the final payment be at the end of Year 8 in order for the client to get his price? | |||||||||
| Discount rate | 0.08 | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |
| -875000 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 350,000.00 | |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |
| -875000 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | ||
| $0.00 | |||||||||
| Balloon = | |||||||||
| 2. After conducting the analysis above, the buyer has proposed a a schedule of 'serial' payments increasing by | 3% | ||||||||
| each year. The buyer will have paid your client the inflation-adjusted value of | 875,000 | after eight years | |||||||
| Your client has given his permission for you to help the buyer construct a series of payments that will produce the | |||||||||
| the necessary cash flows. The buyer believes that | 9% | is a reasonable rate of return over | |||||||
| the same time frame. | |||||||||
| a. Please construct the serial annuity that will increase by | 3% | annually and yield | 9% | ||||||
| return to total the inflation-adjusted equivalent of | 875,000 | in eight years | |||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |
| Proof Schedule | |||||||||
| Date | Interest | Pmt | Bal | ||||||
| 1 | |||||||||
| 2 | |||||||||
| 3 | |||||||||
| 4 | - 0 | ||||||||
| 5 | |||||||||
| 875,000.00 | 6 | ||||||||
| 7 | |||||||||
| 8 | |||||||||
| Return rate: | 9% | ||||||||
| Inflation rate | 3% | ||||||||
| Real rate | |||||||||
| FVANF | |||||||||
| BYP | |||||||||
| EYP | |||||||||
| 2. After conducting the analysis above, the buyer has proposed a a schedule of 'serial' payments increasing by | 3% | ||||||||
| each year. The buyer will have paid your client the inflation-adjusted value of | 875,000 | after eight years | |||||||
| Your client has given his permission for you to help the buyer construct a series of payments that will produce the | |||||||||
| the necessary cash flows. The buyer believes that | 9% | is a reasonable rate of return over | |||||||
| the same time frame. | |||||||||
| a. Please construct the serial annuity that will increase by | -3% | annually and yield | 9% | ||||||
| return to total the inflation-adjusted equivalent of | 875,000 | in eight years | |||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |
| Date | Interest | Pmt | Bal | ||||||
| 1 | |||||||||
| 2 | |||||||||
| 3 | |||||||||
| 4 | |||||||||
| 5 | |||||||||
| 875,000.00 | 6 | ||||||||
| 7 | |||||||||
| 8 | |||||||||
| Return rate: | 0.09 | ||||||||
| Inflation rate | -3% | ||||||||
| Real rate | |||||||||
| FVANF | |||||||||
| BYP | |||||||||
| EYP |
FV
| 1.0 point this sheet | |||||
| Future Value Computation: | |||||
| Your client has been offered an investment opportunity in which he/she will invest a fixed amount | |||||
| at the beginning of next year and receive returns of 8, 9, 11, 12, and 7 % at the end of each of the next | |||||
| five years. What is the average rate of return on this investment opportunity? Please complet proof table | |||||
| as well as demonstrate your answer by both algebraic and Excel proofs | |||||
| Date | Rate | Interest | Investment | Balance | |
| 0 | |||||
| 1 | |||||
| 2 | |||||
| 3 | |||||
| 4 | |||||
| 5 | |||||
| Algebra proof | |||||
| Excel proof |
TVM
| Present Value of a Single Amount | |||||||||||
| Rate | 0.06 | ||||||||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| Cash flows | - 0 | - 0 | - 0 | - 0 | 1,000.00 | ||||||
| Pv Formula | - 0 | - 0 | - 0 | - 0 | - 0 | ||||||
| C/(1+r)^n | |||||||||||
| Pv Excel | |||||||||||
| Rate | 0.06 | ||||||||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| CF Principal | - 0 | - 0 | - 0 | - 0 | 1,000.00 | ||||||
| CF Pmt | 50.00 | 50.00 | 50.00 | 50.00 | 50.00 | ||||||
| Total Cash | 50.00 | 50.00 | 50.00 | 50.00 | 1,050.00 | ||||||
| Pv Formula | - 0 | ||||||||||
| C/(1+r)^n | |||||||||||
| Pv Excel | |||||||||||
| Rate | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | |||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| CF Principal | - 0 | - 0 | - 0 | - 0 | 1,000.00 | ||||||
| CF Pmt | 50.00 | 50.00 | 50.00 | 50.00 | 50.00 | ||||||
| Total Cash | 50.00 | 50.00 | 50.00 | 50.00 | 1,050.00 | ||||||
| Pv Formula | |||||||||||
| Pv Formula | |||||||||||
| Pv Excel | |||||||||||
| Rate | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | |||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| CF Principal | - 0 | - 0 | - 0 | - 0 | 1,000.00 | ||||||
| CF Pmt | 50.00 | ||||||||||
| Total Cash | 50.00 | 50.00 | 50.00 | 50.00 | 1,050.00 | ||||||
| Pv Formula | |||||||||||
| Pv Formula | |||||||||||
| Pv Excel | |||||||||||
| Present Value of Ordinary Annuity | |||||||||||
| Rate | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | |||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| Cash flows | 80 | 80 | 80 | 80 | 80 | ||||||
| Formula: single | 0 | ||||||||||
| Annuity factor | |||||||||||
| Pv formula | |||||||||||
| Pv Excel | |||||||||||
| Present Value of Annuity Due | |||||||||||
| Rate | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | |||||
| 0 | 1 | 2 | 3 | 4 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| Cash flows | 80 | 80 | 80 | 80 | 80 | ||||||
| Formula: single | 0 | ||||||||||
| Annuity factor | ERROR:#VALUE! | ||||||||||
| Pv formula | |||||||||||
| Pv Excel | |||||||||||
| Short cut | |||||||||||
| Ordinary * (1+r) | |||||||||||
| Future Value of Single Amount | |||||||||||
| Rate | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | |||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| Fv formula | 100 | ||||||||||
| C * (1+r)^n | |||||||||||
| FV Excel | |||||||||||
| Future Value of an Ordinary Annuity | |||||||||||
| Rate | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | ||||||
| 4 | 3 | 2 | 1 | ||||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| 100 | 100 | 100 | 100 | ||||||||
| 0 | |||||||||||
| Annuity factor | |||||||||||
| (1+r)^n -1/r | |||||||||||
| FV formula | |||||||||||
| FV Excel | |||||||||||
| Future Value of an Annuity Due | |||||||||||
| Rate | 0.10 | ||||||||||
| 5 | 4 | 3 | 2 | 1 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| 100 | 100 | 100 | 100 | ||||||||
| 0 | |||||||||||
| Annuity factor | |||||||||||
| (1_r)^n -1/r * (1+r) | |||||||||||
| FV formula | |||||||||||
| FV Excel | |||||||||||
| Serial Annuity | |||||||||||
| 4 | 3 | 2 | 1 | ||||||||
| 1 | 2 | 3 | 4 | 5 | |||||||
| C0 | C1 | C2 | C3 | C4 | C5 | ||||||
| - 0 | - 0 | - 0 | - 0 | ||||||||
| - 0 | |||||||||||
| 180,000.00 | |||||||||||
| Date | Interest | Pmt | Bal | ||||||||
| 1 | |||||||||||
| 2 | |||||||||||
| 3 | |||||||||||
| 4 | |||||||||||
| 5 | |||||||||||
| Need $180,000 in todays dollars to be accumulated in serial annuity. Discount rate: .07, Inflation rate: .03 | |||||||||||
| Nominal rate | 0.07 | ||||||||||
| Inflation rate | 0.03 | ||||||||||
| Real rate: | (1+ nominal)/(1+inflation) | ||||||||||
| FVAF | (1.0388349^5-1)/.0388349 | ||||||||||
| FYP (beg) | Beginning value/FVAF | ||||||||||
| FYP (end) | FYP * (1+ inflation) | ||||||||||
| Iron-off' $180,000 @ 7% with payments increasing at 3% annually over five years: | |||||||||||
| Level Amortization Schedule @ Real Rate | |||||||||||
| Date | Interest | Pmt | Amt | Bal | |||||||
| 0 | 180,000.0000 | ||||||||||
| 1 | |||||||||||
| 2 | |||||||||||
| 3 | |||||||||||
| 4 | |||||||||||
| 5 | |||||||||||
| Serial Schedule: | |||||||||||
| Date | Interest | Pmt | Amt | Bal | Proof | ||||||
| 0 | 180,000.0000 | ||||||||||
| 1 | $0.00 | ||||||||||
| 2 | $0.00 | ||||||||||
| 3 | $0.00 | ||||||||||
| 4 | $0.00 | ||||||||||
| 5 | $0.00 | ||||||||||
| $0.00 | |||||||||||
| 1. Your client has received an offer to buy his dental practice for | 875,000.00 | and the buyer has proposed the | |||||||||
| payment schedule shown below, seven payments of | 75,000.00 | at the end of each of the next | |||||||||
| seven years and a final payment of | 350,000.00 | ||||||||||
| The client believes that 8% is a reasonable return on his money over the next eight years. | |||||||||||
| a. How much has the buyer 'really' offered your client? | |||||||||||
| b. How much must the final payment be at the end of Year 8 in order for the client to get his price? | |||||||||||
| Discount rate | 0.08 | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |||
| -875000 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 350,000.00 | |||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |||
| -875000 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | 75,000.00 | - 0 | |||
| $0.00 | |||||||||||
| Balloon = | |||||||||||
| 2. After conducting the analysis above, the buyer has proposed a a schedule of 'serial' payments increasing by | 3% | ||||||||||
| each year. The buyer will have paid your client the inflation-adjusted value of | 875,000 | after eight years | |||||||||
| Your client has given his permission for you to help the buyer construct a series of payments that will produce the | |||||||||||
| the necessary cash flows. The buyer believes that | 9% | is a reasonable rate of return over | |||||||||
| the same time frame. | |||||||||||
| a. Please construct the serial annuity that will increase by | 3% | annually and yield | 9% | ||||||||
| return to total the inflation-adjusted equivalent of | 875,000 | in eight years | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||||
| C0 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | |||
| Date | Interest | Pmt | Bal | ||||||||
| 1 | |||||||||||
| 2 | |||||||||||
| 3 | |||||||||||
| 4 | |||||||||||
| 5 | |||||||||||
| 875,000.00 | 6 | ||||||||||
| 7 | |||||||||||
| 8 | |||||||||||
| Return rate: | 0.09 | ||||||||||
| Inflation rate | 0.03 | ||||||||||
| Real rate | |||||||||||
| FVANF | |||||||||||
| BYP | |||||||||||
| EYP | |||||||||||
| Level Amortization Schedule @ Real Rate | |||||||||||
| Date | Interest | Pmt | Amt | Bal | |||||||
| 0 | 875,000.00 | ||||||||||
| 1 | |||||||||||
| 2 | |||||||||||
| 3 | |||||||||||
| 4 | |||||||||||
| 5 | |||||||||||
| 6 | |||||||||||
| 7 | |||||||||||
| 8 | |||||||||||
| Serial Schedule | |||||||||||
| Date | Interest | Pmt | Amt | Bal | |||||||
| 0 | 875,000.00 | ||||||||||
| 1 | |||||||||||
| 2 | |||||||||||
| 3 | |||||||||||
| 4 | |||||||||||
| 5 | |||||||||||
| 6 | |||||||||||
| 7 | |||||||||||
| 8 | |||||||||||
| Pension Liability Problem: | |||||||||||
| Assume you have turned 25 years old today and expect to retire when you reach age 60. In retirement, you wish to have an income of $70,000 per year (adjusted for inflation) | |||||||||||
| for a period of 15 years. Since inflation is expected to average 3% over the next 35 years, you must adjust your retirement income accordingly. You wish to receive | |||||||||||
| your retirement income at the beginning of each year, beginning on your 60th birthday. Additionally, you wish to accumulate the sum of $1,000,000 at the end of your 15 year | |||||||||||
| retirement period to pass along to your heirs. The discount rate is 9% | |||||||||||
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| Increasing pmts | |||||||||||
| - 0 | |||||||||||
| Level pmts | |||||||||||
| - 0 | |||||||||||
| 1. Inflation-adjusted equivalent of $70,000 in 35 years @ 3%: | |||||||||||
| 2. Investment required @ age 65 to fund the 15 year stream of payments at the | |||||||||||
| beginning of each year @ 9%: | |||||||||||
| 3. Amount required to fund a $1,000,000 residual at end of 15 years: | |||||||||||
| 4. Total amount needed @ age 65: | |||||||||||
| 5. Present value of pension liability: | |||||||||||
| 6. Inflation Effect: | ANF | ||||||||||
| 7. PV annuity factor due | |||||||||||
| PV Proof | PV Proof | ||||||||||
| Increasing Payments: Annuity Due | Increasing Payments: Ordinary Annuity | ||||||||||
| Date | Interest | Payment | Amortization | Balance | Date | Interest | Payment | Amortization | Balance | ||
| 0 | 0 | ||||||||||
| 1 | 1 | ||||||||||
| 2 | 2 | ||||||||||
| 3 | 3 | ||||||||||
| 4 | 4 | ||||||||||
| 5 | 5 | ||||||||||
| 6 | 6 | ||||||||||
| 7 | 7 | ||||||||||
| 8 | 8 | ||||||||||
| 9 | 9 | ||||||||||
| 10 | 10 | ||||||||||
| 11 | 11 | ||||||||||
| 12 | 12 | ||||||||||
| 13 | 13 | ||||||||||
| 14 | 14 | ||||||||||
| 15 | 15 | ||||||||||
| Level Payments: Annuity Due | Level Payments: Ordinary Annuity | ||||||||||
| Date | Interest | Payment | Amortization | Balance | Date | Interest | Payment | Amortization | Balance | ||
| 0 | 0 | ||||||||||
| 1 | 1 | ||||||||||
| 2 | 2 | ||||||||||
| 3 | 3 | ||||||||||
| 4 | 4 | ||||||||||
| 5 | 5 | ||||||||||
| 6 | 6 | ||||||||||
| 7 | 7 | ||||||||||
| 8 | 8 | ||||||||||
| 9 | 9 | ||||||||||
| 10 | 10 | ||||||||||
| 11 | 11 | ||||||||||
| 12 | 12 | ||||||||||
| 13 | 13 | ||||||||||
| 14 | 14 | ||||||||||
| 15 | |||||||||||
| Annual Payment Proof | |||||||||||
| FVAF | |||||||||||
| Pmt | |||||||||||
| Pmt Excel | |||||||||||
| Date | Interest | Payment | Balance | ||||||||
| 0 | |||||||||||
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| Example adapted from: Contemporary Financial Management, Moyer, McGuigan, Kretlow, Thomson, 2005 | |||||||||||
| The Thomas family plans to purchase a new house in three years for $250,000, at which time they will take out a traditional 30-year mortgage. | |||||||||||
| The mortgage payment may not exceed 25% of family income, which is expected to be $65,000 at the time of purchase. Mortgage rates are expected | |||||||||||
| to be 9%. Since the mortgate alone will not provide sufficient cash for purchase, a down payment will be required. The Thomas's currently have a bank account | |||||||||||
| which pays 6% compounded quarterly that has grown to $15,000, and plan to make quarterly deposits at the end of each quarter to date of purchase to | |||||||||||
| make up the difference. How much must each deposit be? | |||||||||||
| Purchase price | 250,000.00 | Interest | Deposit | Balance | |||||||
| Financed amount | 1 | ||||||||||
| 25% of projected annual income | 2 | ||||||||||
| Maximum monthly payment amount | 3 | ||||||||||
| Pv annuity factor: 360 months @ 9% | 4 | ||||||||||
| 5 | |||||||||||
| Shortfall: | 6 | ||||||||||
| 7 | |||||||||||
| Current savings | 15,000.00 | 8 | |||||||||
| Future value of current savings @ 6% | 9 | ||||||||||
| compounded quarterly | 10 | ||||||||||
| 11 | |||||||||||
| Shortfall to be covered by future savings | 12 | ||||||||||
| Quarterly deposit required: | |||||||||||
| Fv annuity factor: 12 periods @ 1.5% | |||||||||||
| Example adapted from: Lasher, William, R., Practical Financial Management, Thomson, 2005 | |||||||||||
| Exeter Inc. has $75,000 invested in securities which earn 16% compounded quarterly. The company is developing a new product for launch | |||||||||||
| in (2) years for which it will need $500,000. The money currently invested will can be used for the launch. Exeter's bank has offered an account which | |||||||||||
| will pay 12% compounded monthly. How much must Exeter deposit each month to insure sufficient funds for the launch? | |||||||||||
| Funds needed in two years: | 500,000.00 | Interest | Deposit | Balance | |||||||
| 1 | |||||||||||
| Current investment | 75,000.00 | 2 | |||||||||
| Accumulation in two years: | 3 | ||||||||||
| 4 | |||||||||||
| Difference: | 5 | ||||||||||
| 6 | |||||||||||
| Monthly deposit required to accumulate shortfall | 7 | ||||||||||
| invested @ 12% compounded monthly: | 8 | ||||||||||
| FV annuity factor 24 periods @ 1%: | 9 | ||||||||||
| Excel formula | 10 | ||||||||||
| 11 | |||||||||||
| Example taken from: Lasher, William, R., Practical Financial Management, Thomson, 2005 | 12 | ||||||||||
| 13 | |||||||||||
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