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 Moab Mountain Goats; last year, he was the first runner-up for the Minor League Player of the Year award. Using his 93 mph fotball, an impeccable curve ball and slider, and a reliable changeup pitch he achieved a 15-2 win-loss record, 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, Noah Never Enough, indicating that he is being called up to the El Paso Grandies, the Mountain Goats'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: Noah Never Enough Tot Flynn Fireballer Subject: New Team, New Contract Proposal Flynn Congratulations! You've been called up to the El Paso Grandies. Below are the offered Flynn is so excited. According to Noah, the contract is worth $2,520,400-assuming receipt of all possible bonuses. After rereading the email bwice and calling his family, Flynn called you to review the terms of the contract and verify Noah's calculations. After an extended conversation about what he do with his newfound wealth, you and Flynn have agreed that any funds received could be invested to earn 6.00%, 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 darily 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. D 1 2 3 Assumptions and Calculated Values Bank Rate Information Flynn's Bank Account Rate (compounded monthly Monthly Bank Rate Effective Annual Interest Rate 4 5 6 Year 1 Year 2 Year 3 Year 4 Total value 3 $ 11.6189 5 18 10.9439 $ 5 S S 10.3082 9.7093 7 Salary and Bonus Information 8 Annual Salary (4% COLA) 9 Monthly Salary 10 Discount factor (based on Cell B4 above) 11 Discounted Annual Salary 12 13 Time-in-League Bonus 14 Discount factor (based on Coll 84 above) 15 Discounted Time-in-League Bonus S s $ 5 S 0.9705 S 16 17 5 $ $ 18 Milestone Bonus Discount factor (based on Cel B5 above) 0.9419 0.8872 0.8356 0.7871 19 s $ Discounted Milestone Bonus 20 21 15 5 5 5 22 0.9419 0.8872 0.8356 0.7871 Performance Bonus Discount factor (based on Cel 5 above) Discounted Performance 23 S S $ Bonus 24 25 10 26 11.6189 10.9439 Monthly Endorsement Contract Payment Discount factor (based on Cell 84 above) Discounted Monthly Endorsement Payment 27 5 5 28 29 Contract's Total Nominal Value 30 Contract's Total Discounted Value 1. Given your worksheet calculations, which of the following statements is accurate? Is Noah's estimate of the value of Flynn's contract accurate on either a nominal or discounted basis? Check all that apply. 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. Noah's estimate of the value of Flynn's contract is incorrect on a nominal basis, and the error is $58,088. It is appropriate and necessary to discount the performance bonus 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 for the performance bonus. Related Question: The local car dealer creating Flynn's endorsement opportunity can earn 6% (compounded quarterly) on his deposited funds. She would have to deposits 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 Moab Mountain Goats; last year, he was the first runner-up for the Minor League Player of the Year award. Using his 93 mph fotball, an impeccable curve ball and slider, and a reliable changeup pitch he achieved a 15-2 win-loss record, 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, Noah Never Enough, indicating that he is being called up to the El Paso Grandies, the Mountain Goats'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: Noah Never Enough Tot Flynn Fireballer Subject: New Team, New Contract Proposal Flynn Congratulations! You've been called up to the El Paso Grandies. Below are the offered Flynn is so excited. According to Noah, the contract is worth $2,520,400-assuming receipt of all possible bonuses. After rereading the email bwice and calling his family, Flynn called you to review the terms of the contract and verify Noah's calculations. After an extended conversation about what he do with his newfound wealth, you and Flynn have agreed that any funds received could be invested to earn 6.00%, 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 darily 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. D 1 2 3 Assumptions and Calculated Values Bank Rate Information Flynn's Bank Account Rate (compounded monthly Monthly Bank Rate Effective Annual Interest Rate 4 5 6 Year 1 Year 2 Year 3 Year 4 Total value 3 $ 11.6189 5 18 10.9439 $ 5 S S 10.3082 9.7093 7 Salary and Bonus Information 8 Annual Salary (4% COLA) 9 Monthly Salary 10 Discount factor (based on Cell B4 above) 11 Discounted Annual Salary 12 13 Time-in-League Bonus 14 Discount factor (based on Coll 84 above) 15 Discounted Time-in-League Bonus S s $ 5 S 0.9705 S 16 17 5 $ $ 18 Milestone Bonus Discount factor (based on Cel B5 above) 0.9419 0.8872 0.8356 0.7871 19 s $ Discounted Milestone Bonus 20 21 15 5 5 5 22 0.9419 0.8872 0.8356 0.7871 Performance Bonus Discount factor (based on Cel 5 above) Discounted Performance 23 S S $ Bonus 24 25 10 26 11.6189 10.9439 Monthly Endorsement Contract Payment Discount factor (based on Cell 84 above) Discounted Monthly Endorsement Payment 27 5 5 28 29 Contract's Total Nominal Value 30 Contract's Total Discounted Value 1. Given your worksheet calculations, which of the following statements is accurate? Is Noah's estimate of the value of Flynn's contract accurate on either a nominal or discounted basis? Check all that apply. 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. Noah's estimate of the value of Flynn's contract is incorrect on a nominal basis, and the error is $58,088. It is appropriate and necessary to discount the performance bonus 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 for the performance bonus. Related Question: The local car dealer creating Flynn's endorsement opportunity can earn 6% (compounded quarterly) on his deposited funds. She would have to deposits 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.)