Financial Engineering Assignment 2
Student Information
| You must enter the information in the "yellow" fields below before starting the assignment. | Fall 2020 | Question 1 | 12878500 | Rate | Maturity | Price | YTM | |||||||||
| Name | Bond 1 | 8.25% | 10 | $1,053 | 7.49% | |||||||||||
| 10 digit student ID # | 1220885757 | Bond 2 | 6.50% | 20 | $899 | 7.49% | ||||||||||
| Date | Bond 3 | 4.50% | 30 | $645 | 7.49% | |||||||||||
| Class | ||||||||||||||||
| By downloading this assignment you agree to not share this exam with anyone. You also agree to completing this assignment without the assistance or of anyone unless you have received written approval from the instructor. You agree to not collaborate with anyone with this assignment You agree to not use another student's assignment or materials to aid you with this assignment You understand that not following these rules, or any other rules identified in the ASU Academic Integrity Policy will result in a zero grade for this assignment a violation report to the Dean's office, and likely suspension from ASU. Please teach each other the Excel functions and financial engineering functions. However, do not provide answers or assist others with their answers. Engineers must learn how to solve problems! This assignment is the property of Daniel R. McCarville and Arizona State University. It is copyright protected. | ||||||||||||||||
| Instructions: | ||||||||||||||||
| 1. You must enter the information requested above. | ||||||||||||||||
| 2. Include your entire 10 (ten) digit student ID number. | ||||||||||||||||
| 3. Do not change the questions as I have typed them. | ||||||||||||||||
| 4. Fill in all yellow boxes with the requested information and/or answer. | ||||||||||||||||
| 5. To show your cash flow drawings, you must copy the drawings onto the Question Worksheet. | ||||||||||||||||
| 6. Please show your Excel work in the same worksheet as the Question. | ||||||||||||||||
| 7. Data Analysis TookPak results such as Covariance Matrices or Regression Analysis can be inserted in a new worksheet. | ||||||||||||||||
| 8. I do give some partial credit where enough detail is presented. | ||||||||||||||||
| Question | Maximum Points Available | Grade | ||||||||||||||
| 1a | 3 | 0 | ||||||||||||||
| 1b | 3 | 0 | ||||||||||||||
| 1c | 6 | 0 | ||||||||||||||
| 2a | 2 | 0 | ||||||||||||||
| 2b | 4 | 0 | ||||||||||||||
| 2c | 3 | 0 | ||||||||||||||
| 2d | 3 | 0 | ||||||||||||||
| 3a | 1 | 0 | ||||||||||||||
| 3b | 1 | 0 | ||||||||||||||
| 3c | 1 | 0 | ||||||||||||||
| 3d | 1 | 0 | ||||||||||||||
| 3e | 1 | 0 | ||||||||||||||
| 3f | 1 | 0 | ||||||||||||||
| Total | 30 | 0 | ||||||||||||||
| Comments: | ||||||||||||||||
Question 1
| Your company has an obligation to pay a single payment debt in 12 years and would like to find a low | ||||||||
| risk bond portfolio to meet this obligation. | ||||||||
| Debt (obligation to be paid in 12 years) | $ 12,878,500.00 | |||||||
| Rate | Maturity (years) | Price | YTM | Coupon Frequency | ||||
| Bond 1 | 8.25% | 10 | 1053 | 0.07485 | Semi-annual | |||
| Bond 2 | 6.50% | 20 | 899 | 0.07485 | Semi-annual | |||
| Bond 3 | 4.50% | 30 | 645 | 0.07485 | Semi-annual | |||
| a. Calculate the Macauly Duration for each of the three bonds. | Bond 1 | |||||||
| Points | 3 | Bond 2 | ||||||
| Grade | Bond 3 | |||||||
| b. Calculate the PV of the obligation. | PV oblg | |||||||
| Points | 3 | |||||||
| Grade | ||||||||
| c. Choose two bonds and apply the immunization process using the provided YTM for the calculations | ||||||||
| and determine the quantity of each of the two bonds to achieve the obligation. | ||||||||
| Points | 6 | Bond # | Quantity | |||||
| Grade | ||||||||
| Please show all of your work in this Excel Worksheet. |
Question 2
| Find today's date US Treasury Yield Curve data provided in this Excel Workbook, and use it to work the problems below. | ||||||||||||||
| Yield Curve Data | ||||||||||||||
| a. Enter the most recent yield curve data from the provided worksheet into the corresponding yellow boxes. Use the | Maturity | 1 Month | 3 Month | 6 Month | 1 Year | 2 Year | 3 Year | 5 Year | 7 Year | 10 Year | 20 Year | 30 Year | ||
| yield curve data as the spot rates for years 1 through 10. Use interpolation to calculate the missing years. | Yield | |||||||||||||
| Points | 2 | |||||||||||||
| Grade | Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |||
| Spot Rate | ||||||||||||||
| b. Determine the forward rates for the first 10 years. Fill in the yellow fields in the table to the right. | Forward Rates | |||||||||||||
| Points | 4 | + Years | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||
| Grade | Spot Rate | |||||||||||||
| i=1 | ||||||||||||||
| i=2 | ||||||||||||||
| i=3 | ||||||||||||||
| i=4 | ||||||||||||||
| i=5 | ||||||||||||||
| i=6 | ||||||||||||||
| i=7 | ||||||||||||||
| i=8 | ||||||||||||||
| i=9 | ||||||||||||||
| c. Determine the short rates for the first 10 years. Fill in the yellow fields in the table to the right. | Short Rates | |||||||||||||
| Points | 3 | Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |||
| Grade | Spot Rate | |||||||||||||
| 1 | ||||||||||||||
| 2 | ||||||||||||||
| 3 | ||||||||||||||
| 4 | ||||||||||||||
| 5 | ||||||||||||||
| 6 | ||||||||||||||
| 7 | ||||||||||||||
| 8 | ||||||||||||||
| 9 | ||||||||||||||
| d. Calculate the ten running PVs for the cash flow shown in the table to the right. Fill in the yellow fields in the table to the right. | Running PV | |||||||||||||
| Points | 3 | Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||
| Grade | Cash Flow | 2000 | 4500 | 4000 | 5500 | 800 | 500 | 200 | 3000 | 4000 | 9000 | |||
| Short Rate | ||||||||||||||
| Please show all of your work in this Excel Worksheet. | Runing PV | |||||||||||||
Question 3
| Based on the most recent date in the income statement, cashflow statement, | |
| and balance sheet provided in this Excel Workbook, calculate the following: | |
| a. Debt Ratio | |
| Points | 1 |
| Grade | |
| b. Current Ratio | |
| Points | 1 |
| Grade | |
| c. Quick Ratio | |
| Points | 1 |
| Grade | |
| d. Inventory Turnover Ratio | |
| Points | 1 |
| Grade | |
| e. Total Asset Turnover Ratio | |
| Points | 1 |
| Grade | |
| f. Profit Margin on Sales | |
| Points | 1 |
| Grade | |
| Please show all of your work in this Excel Worksheet. |
Income Statement
| Income Statement | All numbers in thousands | ||
| Period Ending | 12/28/19 | 12/29/18 | 12/30/17 |
| Revenue | |||
| Total Revenue | 275,466,000 | 192,826,000 | 173,543,000 |
| Cost of Revenue | 140,089,000 | 112,258,000 | 106,606,000 |
| Gross Profit | 135,377,000 | 80,568,000 | 66,937,000 |
| Operating Expenses | |||
| Research Development | 8,067,000 | 6,041,000 | 4,475,000 |
| Selling General and Administrative | 14,329,000 | 11,993,000 | 10,830,000 |
| Non Recurring | - | - | - |
| Others | - | - | - |
| Total Operating Expenses | - | - | - |
| Operating Income or Loss | 112,981,000 | 62,534,000 | 51,632,000 |
| Income from Continuing Operations | |||
| Total Other Income/Expenses Net | 1,285,000 | 980,000 | 1,156,000 |
| Earnings Before Interest and Taxes | 114,266,000 | 63,514,000 | 52,788,000 |
| Interest Expense | - | - | - |
| Income Before Tax | 114,266,000 | 63,514,000 | 52,788,000 |
| Income Tax Expense | 19,121,000 | 13,973,000 | 13,118,000 |
| Minority Interest | - | - | - |
| Net Income From Continuing Ops | 95,145,000 | 49,541,000 | 39,670,000 |
| Non-recurring Events | |||
| Discontinued Operations | - | - | - |
| Extraordinary Items | - | - | - |
| Effect Of Accounting Changes | - | - | - |
| Other Items | - | - | - |
| Net Income | |||
| Net Income | 95,145,000 | 49,541,000 | 39,670,000 |
| Preferred Stock And Other Adjustments | - | - | - |
| Net Income Applicable To Common Shares | 95,145,000 | 49,541,000 | 39,670,000 |
Cashflow Statement
| Cash Flow | All numbers in thousands | ||
| Period Ending | 12/28/19 | 12/29/18 | 12/30/17 |
| Net Income | 95,145,000 | 49,541,000 | 39,670,000 |
| Operating Activities, Cash Flows Provided By or Used In | |||
| Depreciation | 11,257,000 | 7,946,000 | 6,757,000 |
| Adjustments To Net Income | 4,968,000 | 5,210,000 | 3,394,000 |
| Changes In Accounts Receivables | -3,124,000 | -6,452,000 | -1,949,000 |
| Changes In Liabilities | 15,188,000 | 13,408,000 | 8,320,000 |
| Changes In Inventories | -238,000 | -76,000 | -973,000 |
| Changes In Other Operating Activities | -179,000 | 167,000 | 1,080,000 |
| Total Cash Flow From Operating Activities | 123,017,000 | 69,744,000 | 56,299,000 |
| Investing Activities, Cash Flows Provided By or Used In | |||
| Capital Expenditures | -11,247,000 | -9,571,000 | -8,165,000 |
| Investments | -44,417,000 | -9,017,000 | -24,042,000 |
| Other Cash flows from Investing Activities | -610,000 | -3,991,000 | -1,567,000 |
| Total Cash Flows From Investing Activities | -56,274,000 | -22,579,000 | -33,774,000 |
| Financing Activities, Cash Flows Provided By or Used In | |||
| Dividends Paid | -11,561,000 | -11,126,000 | -10,564,000 |
| Sale Purchase of Stock | -34,710,000 | -44,270,000 | -22,330,000 |
| Net Borrowings | 29,305,000 | 18,266,000 | 16,896,000 |
| Other Cash Flows from Financing Activities | -1,499,000 | -1,158,000 | -1,082,000 |
| Total Cash Flows From Financing Activities | -17,716,000 | -37,549,000 | -16,379,000 |
| Effect Of Exchange Rate Changes | - | - | - |
| Change In Cash and Cash Equivalents | 49,027,000 | 9,616,000 | 6,146,000 |
Balance Sheet
| Balance Sheet | All numbers in thousands | ||
| Period Ending | 12/28/19 | 12/29/18 | 12/30/17 |
| Current Assets | |||
| Cash And Cash Equivalents | 21,120,000 | 13,844,000 | 14,259,000 |
| Short Term Investments | 20,481,000 | 11,233,000 | 26,287,000 |
| Net Receivables | 85,757,000 | 68,606,000 | 54,885,000 |
| Inventory | 2,349,000 | 2,111,000 | 1,764,000 |
| Other Current Assets | 9,539,000 | 9,806,000 | 6,882,000 |
| Total Current Assets | 139,246,000 | 105,600,000 | 104,077,000 |
| Long Term Investments | 164,065,000 | 130,162,000 | 106,215,000 |
| Property Plant and Equipment | 22,471,000 | 20,624,000 | 16,597,000 |
| Goodwill | 5,116,000 | 4,616,000 | 1,577,000 |
| Intangible Assets | 3,893,000 | 4,142,000 | 4,179,000 |
| Accumulated Amortization | - | - | - |
| Other Assets | 5,556,000 | 3,764,000 | 5,146,000 |
| Deferred Long Term Asset Charges | - | - | - |
| Total Assets | 340,347,000 | 268,908,000 | 237,791,000 |
| Current Liabilities | |||
| Accounts Payable | 81,469,000 | 65,175,000 | 52,140,000 |
| Short/Current Long Term Debt | 10,999,000 | 6,308,000 | 6,308,000 |
| Other Current Liabilities | 8,940,000 | 8,491,000 | 7,435,000 |
| Total Current Liabilities | 101,408,000 | 79,974,000 | 65,883,000 |
| Long Term Debt | 53,463,000 | 28,987,000 | 16,960,000 |
| Other Liabilities | 33,427,000 | 24,826,000 | 20,208,000 |
| Deferred Long Term Liability Charges | 3,624,000 | 3,031,000 | 2,625,000 |
| Minority Interest | - | - | - |
| Negative Goodwill | - | - | - |
| Total Liabilities | 191,922,000 | 136,818,000 | 105,676,000 |
| Stockholders' Equity | |||
| Misc. Stocks Options Warrants | - | - | - |
| Redeemable Preferred Stock | - | - | - |
| Preferred Stock | - | - | - |
| Common Stock | 27,416,000 | 23,313,000 | 19,764,000 |
| Retained Earnings | 92,284,000 | 87,152,000 | 104,256,000 |
| Treasury Stock | - | - | - |
| Capital Surplus | - | - | - |
| Other Stockholder Equity | -345,000 | 1,082,000 | -471,000 |
| Total Stockholder Equity | 119,355,000 | 111,547,000 | 123,549,000 |
| Net Tangible Assets | 110,346,000 | 102,789,000 | 117,793,000 |
US Treasury Yield Curve Data
| Date | 1 mo | 3 mo | 6 mo | 1 yr | 2 yr | 3 yr | 5 yr | 7 yr | 10 yr | 20 yr | 30 yr | 1 mo | 3 mo | 6 mo | 1 yr | 2 yr | 3 yr | 5 yr | 7 yr | 10 yr | 20 yr | 30 yr |
| 8/4/20 | 0.57 | 0.59 | 0.73 | 0.84 | 0.98 | 1.09 | 1.38 | 1.66 | 1.86 | 2.19 | 2.60 | 0.00 | 0.02 | 0.16 | 0.27 | 0.41 | 0.52 | 0.81 | 1.09 | 1.29 | 1.62 | 2.03 |
| 8/5/20 | 0.55 | 0.57 | 0.72 | 0.82 | 0.95 | 1.07 | 1.34 | 1.62 | 1.82 | 2.15 | 2.56 | -0.02 | 0.00 | 0.15 | 0.25 | 0.38 | 0.50 | 0.77 | 1.05 | 1.25 | 1.58 | 1.99 |
| 8/6/20 | 0.54 | 0.59 | 0.76 | 0.87 | 1.03 | 1.17 | 1.44 | 1.72 | 1.90 | 2.22 | 2.63 | -0.03 | 0.02 | 0.19 | 0.30 | 0.46 | 0.60 | 0.87 | 1.15 | 1.33 | 1.65 | 2.06 |
| 8/7/20 | 0.58 | 0.62 | 0.76 | 0.88 | 1.05 | 1.17 | 1.46 | 1.73 | 1.90 | 2.22 | 2.61 | 0.01 | 0.05 | 0.19 | 0.31 | 0.48 | 0.60 | 0.89 | 1.16 | 1.33 | 1.65 | 2.04 |
| 8/10/20 | 0.58 | 0.60 | 0.75 | 0.86 | 1.02 | 1.15 | 1.42 | 1.69 | 1.86 | 2.17 | 2.56 | 0.01 | 0.03 | 0.18 | 0.29 | 0.45 | 0.58 | 0.85 | 1.12 | 1.29 | 1.60 | 1.99 |
| 8/11/20 | 0.58 | 0.59 | 0.74 | 0.86 | 1.00 | 1.11 | 1.38 | 1.65 | 1.81 | 2.14 | 2.54 | 0.01 | 0.02 | 0.17 | 0.29 | 0.43 | 0.54 | 0.81 | 1.08 | 1.24 | 1.57 | 1.97 |
| 8/12/20 | 0.58 | 0.59 | 0.76 | 0.86 | 1.07 | 1.19 | 1.47 | 1.73 | 1.88 | 2.20 | 2.59 | 0.01 | 0.02 | 0.19 | 0.29 | 0.50 | 0.62 | 0.90 | 1.16 | 1.31 | 1.63 | 2.02 |
| 8/13/20 | 0.58 | 0.60 | 0.74 | 0.87 | 1.02 | 1.13 | 1.41 | 1.67 | 1.82 | 2.16 | 2.54 | 0.01 | 0.03 | 0.17 | 0.30 | 0.45 | 0.56 | 0.84 | 1.10 | 1.25 | 1.59 | 1.97 |
| 8/14/20 | 0.57 | 0.62 | 0.77 | 0.87 | 1.03 | 1.16 | 1.45 | 1.71 | 1.86 | 2.21 | 2.58 | 0.00 | 0.05 | 0.20 | 0.30 | 0.46 | 0.59 | 0.88 | 1.14 | 1.29 | 1.64 | 2.01 |
| 8/17/20 | 0.58 | 0.58 | 0.76 | 0.88 | 1.07 | 1.18 | 1.47 | 1.73 | 1.88 | 2.23 | 2.60 | 0.01 | 0.01 | 0.19 | 0.31 | 0.50 | 0.61 | 0.90 | 1.16 | 1.31 | 1.66 | 2.03 |
| 8/18/20 | 0.58 | 0.61 | 0.77 | 0.89 | 1.05 | 1.17 | 1.46 | 1.72 | 1.87 | 2.21 | 2.58 | 0.01 | 0.04 | 0.20 | 0.32 | 0.48 | 0.60 | 0.89 | 1.15 | 1.30 | 1.64 | 2.01 |
| 8/19/20 | 0.58 | 0.61 | 0.75 | 0.89 | 1.02 | 1.12 | 1.43 | 1.69 | 1.84 | 2.20 | 2.57 | 0.01 | 0.04 | 0.18 | 0.32 | 0.45 | 0.55 | 0.86 | 1.12 | 1.27 | 1.63 | 2.00 |
| 8/20/20 | 0.58 | 0.61 | 0.75 | 0.90 | 1.07 | 1.19 | 1.48 | 1.74 | 1.89 | 2.24 | 2.60 | 0.01 | 0.04 | 0.18 | 0.33 | 0.50 | 0.62 | 0.91 | 1.17 | 1.32 | 1.67 | 2.03 |
| 8/21/20 | 0.55 | 0.60 | 0.76 | 0.89 | 1.07 | 1.17 | 1.46 | 1.71 | 1.86 | 2.19 | 2.55 | -0.02 | 0.03 | 0.19 | 0.32 | 0.50 | 0.60 | 0.89 | 1.14 | 1.29 | 1.62 | 1.98 |
| 8/24/20 | 0.59 | 0.61 | 0.76 | 0.89 | 1.05 | 1.17 | 1.46 | 1.71 | 1.86 | 2.19 | 2.55 | 0.02 | 0.04 | 0.19 | 0.32 | 0.48 | 0.60 | 0.89 | 1.14 | 1.29 | 1.62 | 1.98 |
| 8/25/20 | 0.59 | 0.62 | 0.77 | 0.90 | 1.07 | 1.18 | 1.44 | 1.71 | 1.87 | 2.20 | 2.55 | 0.02 | 0.05 | 0.20 | 0.33 | 0.50 | 0.61 | 0.87 | 1.14 | 1.30 | 1.63 | 1.98 |
| 8/26/20 | 0.59 | 0.64 | 0.77 | 0.91 | 1.09 | 1.20 | 1.47 | 1.74 | 1.89 | 2.22 | 2.58 | 0.02 | 0.07 | 0.20 | 0.34 | 0.52 | 0.63 | 0.90 | 1.17 | 1.32 | 1.65 | 2.01 |
| 8/27/20 | 0.59 | 0.65 | 0.78 | 0.93 | 1.15 | 1.27 | 1.54 | 1.80 | 1.93 | 2.27 | 2.60 | 0.02 | 0.08 | 0.21 | 0.36 | 0.58 | 0.70 | 0.97 | 1.23 | 1.36 | 1.70 | 2.03 |
| 8/28/20 | 0.56 | 0.64 | 0.80 | 0.93 | 1.12 | 1.23 | 1.49 | 1.74 | 1.88 | 2.21 | 2.53 | -0.01 | 0.07 | 0.23 | 0.36 | 0.55 | 0.66 | 0.92 | 1.17 | 1.31 | 1.64 | 1.96 |
| 8/31/20 | 0.54 | 0.64 | 0.78 | 0.92 | 1.11 | 1.23 | 1.49 | 1.75 | 1.88 | 2.22 | 2.54 | -0.03 | 0.07 | 0.21 | 0.35 | 0.54 | 0.66 | 0.92 | 1.18 | 1.31 | 1.65 | 1.97 |
| 9/1/20 | 0.57 | 0.64 | 0.78 | 0.92 | 1.11 | 1.23 | 1.50 | 1.76 | 1.89 | 2.21 | 2.54 | 0.00 | 0.07 | 0.21 | 0.35 | 0.54 | 0.66 | 0.93 | 1.19 | 1.32 | 1.64 | 1.97 |
| 9/2/20 | 0.58 | 0.64 | 0.78 | 0.91 | 1.09 | 1.22 | 1.49 | 1.75 | 1.88 | 2.21 | 2.54 | 0.01 | 0.07 | 0.21 | 0.34 | 0.52 | 0.65 | 0.92 | 1.18 | 1.31 | 1.64 | 1.97 |
| 9/3/20 | 0.56 | 0.64 | 0.76 | 0.90 | 1.11 | 1.23 | 1.51 | 1.78 | 1.91 | 2.26 | 2.59 | -0.01 | 0.07 | 0.19 | 0.33 | 0.54 | 0.66 | 0.94 | 1.21 | 1.34 | 1.69 | 2.02 |
| 9/4/20 | 0.55 | 0.63 | 0.76 | 0.87 | 1.05 | 1.17 | 1.44 | 1.71 | 1.86 | 2.21 | 2.55 | -0.02 | 0.06 | 0.19 | 0.30 | 0.48 | 0.60 | 0.87 | 1.14 | 1.29 | 1.64 | 1.98 |
| 9/7/20 | 0.56 | 0.65 | 0.80 | 0.88 | 1.05 | 1.17 | 1.43 | 1.70 | 1.85 | 2.20 | 2.54 | -0.01 | 0.08 | 0.23 | 0.31 | 0.48 | 0.60 | 0.86 | 1.13 | 1.28 | 1.63 | 1.97 |