16. Application of Time Value of Money Skills Flynn Fireballer has been playing baseball since he was five years old and has always dreamed of playing in the big leagues. Last season, he was a starting pitcher for a double-A (AA)-level baseball team, the Ketchum Baldies; last year, he was the first runner-up for the Minor League Player of the Year award. Using his 93 mph fastball, an impeccable curve ball and slider, and a reliable changeup pitch, he achieved a 15-2 win-loss record, an earned run average (ERA) of 2.76, and 123 strikeouts in 99.1 innings pitched. He is also your best friend. Two weeks ago, on his three-year anniversary with the team, Flynn received the following email from his agent, Marty Fineprint, indicating that he is being called up to the Springfield Dusties, the Baldies's corresponding Major League Baseball (MLB) team. Moreover, Flynn's contract is being revised to reflect his new status. The email describes the general terms and conditions of Flynn's revised contract. From: Marty Fineprint To: Flynn Fireballer Subject: New Team, New Contract Proposal Flynn, Congratulations! You've been called up to the Springfield Dusties. Below are the Flynn is so excited! According to Marty, the contract is worth $2,522,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Flynn called you to review the terms of the contract and verify Marty's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Flynn have agreed that any funds received could be invested to earn 7.00%, compounded monthly. Contract Evaluation Worksheet Complete the following worksheet by inserting the appropriate values to evaluate the contract and answer the related questions. Note: To clarify possible sources of confusion and simplify your calculations: Assume that all bonuses are earned in each of the years for which they are available and are paid at the end of the corresponding year(s), unless specifically stated differently. Their value should be based on the salary in effect at the time the bonuses were earned. The endorsement proceeds are paid in accordance with the terms of the deal. Remember that the timing of a cash flow affects the interest rate that is used to discount the cash flow. For example, annual interest rates should be used to discount annual cash flows, and monthly interest rates are used to discount monthly cash flows. Therefore, it may be necessary to compute the appropriate interest rate that should be used in a discounting calculation. Round all dollar amounts to the nearest whole dollar and carry out all interest rate factors to four decimal places. When entering intermediate values as answer choices, be sure to round them to the nearest dollar, however when using those same values to calculate another answer, do not round. Flynn Fireballer's Contract Evaluation Worksheet A B D E 1 F Assumptions and Calculated Values 2 Bank Rate Information: 3 Flynn's Bank Account Rate % (compounded monthly) Monthly Bank Rate 4 % 5 Effective Annual Interest % Rate 6 7 Year 1 Year 2 Year 3 Salary and Bonus Information: Year 4 Total value 8 Annual Salary (4% COLA) ) $ S $ 1$ 9 S $ S 5 10 Monthly Salary Discount factor (based on Cell B4 above) 11.5571 10.7780 10.0514 9.3737 11 Discounted Annual Salary 12 13 Time-in-League Bonus 13 14 0.9657 Discount factor (based on Cell B4 above) 15 Discounted Time-in-League Bonus 16 17 Milestone Bonus 5 18 0.8111 0.7564 0.9326 0.8697 Discount factor (based on Cell B5 above) 19 Discounted Milestone $ nonline Ch 05: Assignment - Time Value of Money 20 21 Performance Bonus 22 Discount factor (based on Cell B5 above) 0.9326 0.8697 0.8111 0.7564 23 Discounted Performance IS S Bonus 24 25 $ $ Monthly Endorsement Contract Payment 26 11.5571 10.7780 Discount factor (based on Cell B4 above) 27 Discounted Monthly $ S Endorsement Payment 28 29 Contract's Total Nominal 5 Value 30 Contract's Total Discounted Value 1. Given your worksheet calculations, which of the following statements is accurate? Is Marty's estimate of the value of Flynn's contract accurate on either a nominal or discounted basis? Check all that apply. Marty's estimate of the nominal value of Flynn's contract is correct. It is appropriate and necessary to discount the endorsement contract using the bank account's effective annual interest rate because of differences in the timing of the compounding of the bank account and that of the payments on the endorsement contract. Marty's estimate of the value of Flynn's contract is incorrect on a nominal basis, and the error is $22,513. Related Question: The local car dealer creating Flynn's endorsement opportunity can earn 6% (compounded quarterly) on his deposited funds. She would have to deposit $ each quarter, starting exactly two years before the day Flynn signs his contract, to fund her endorsement contract. [Note: The future value interest factor of 6% compounded quarterly for eight quarterly periods is 8.4328.] 16. Application of Time Value of Money Skills Flynn Fireballer has been playing baseball since he was five years old and has always dreamed of playing in the big leagues. Last season, he was a starting pitcher for a double-A (AA)-level baseball team, the Ketchum Baldies; last year, he was the first runner-up for the Minor League Player of the Year award. Using his 93 mph fastball, an impeccable curve ball and slider, and a reliable changeup pitch, he achieved a 15-2 win-loss record, an earned run average (ERA) of 2.76, and 123 strikeouts in 99.1 innings pitched. He is also your best friend. Two weeks ago, on his three-year anniversary with the team, Flynn received the following email from his agent, Marty Fineprint, indicating that he is being called up to the Springfield Dusties, the Baldies's corresponding Major League Baseball (MLB) team. Moreover, Flynn's contract is being revised to reflect his new status. The email describes the general terms and conditions of Flynn's revised contract. From: Marty Fineprint To: Flynn Fireballer Subject: New Team, New Contract Proposal Flynn, Congratulations! You've been called up to the Springfield Dusties. Below are the Flynn is so excited! According to Marty, the contract is worth $2,522,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Flynn called you to review the terms of the contract and verify Marty's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Flynn have agreed that any funds received could be invested to earn 7.00%, compounded monthly. Contract Evaluation Worksheet Complete the following worksheet by inserting the appropriate values to evaluate the contract and answer the related questions. Note: To clarify possible sources of confusion and simplify your calculations: Assume that all bonuses are earned in each of the years for which they are available and are paid at the end of the corresponding year(s), unless specifically stated differently. Their value should be based on the salary in effect at the time the bonuses were earned. The endorsement proceeds are paid in accordance with the terms of the deal. Remember that the timing of a cash flow affects the interest rate that is used to discount the cash flow. For example, annual interest rates should be used to discount annual cash flows, and monthly interest rates are used to discount monthly cash flows. Therefore, it may be necessary to compute the appropriate interest rate that should be used in a discounting calculation. Round all dollar amounts to the nearest whole dollar and carry out all interest rate factors to four decimal places. When entering intermediate values as answer choices, be sure to round them to the nearest dollar, however when using those same values to calculate another answer, do not round. Flynn Fireballer's Contract Evaluation Worksheet A B D E 1 F Assumptions and Calculated Values 2 Bank Rate Information: 3 Flynn's Bank Account Rate % (compounded monthly) Monthly Bank Rate 4 % 5 Effective Annual Interest % Rate 6 7 Year 1 Year 2 Year 3 Salary and Bonus Information: Year 4 Total value 8 Annual Salary (4% COLA) ) $ S $ 1$ 9 S $ S 5 10 Monthly Salary Discount factor (based on Cell B4 above) 11.5571 10.7780 10.0514 9.3737 11 Discounted Annual Salary 12 13 Time-in-League Bonus 13 14 0.9657 Discount factor (based on Cell B4 above) 15 Discounted Time-in-League Bonus 16 17 Milestone Bonus 5 18 0.8111 0.7564 0.9326 0.8697 Discount factor (based on Cell B5 above) 19 Discounted Milestone $ nonline Ch 05: Assignment - Time Value of Money 20 21 Performance Bonus 22 Discount factor (based on Cell B5 above) 0.9326 0.8697 0.8111 0.7564 23 Discounted Performance IS S Bonus 24 25 $ $ Monthly Endorsement Contract Payment 26 11.5571 10.7780 Discount factor (based on Cell B4 above) 27 Discounted Monthly $ S Endorsement Payment 28 29 Contract's Total Nominal 5 Value 30 Contract's Total Discounted Value 1. Given your worksheet calculations, which of the following statements is accurate? Is Marty's estimate of the value of Flynn's contract accurate on either a nominal or discounted basis? Check all that apply. Marty's estimate of the nominal value of Flynn's contract is correct. It is appropriate and necessary to discount the endorsement contract using the bank account's effective annual interest rate because of differences in the timing of the compounding of the bank account and that of the payments on the endorsement contract. Marty's estimate of the value of Flynn's contract is incorrect on a nominal basis, and the error is $22,513. Related Question: The local car dealer creating Flynn's endorsement opportunity can earn 6% (compounded quarterly) on his deposited funds. She would have to deposit $ each quarter, starting exactly two years before the day Flynn signs his contract, to fund her endorsement contract. [Note: The future value interest factor of 6% compounded quarterly for eight quarterly periods is 8.4328.]