Hi, I would really like some help with this problem. If you would be able to show your work that would be great because I'm trying to learn. This is all one big question and I would really appreciate the hard work. Thank you in advance!
16. Application of Time Value of Money Skills Gavin Goldenarm 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 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, Gavin received the following email from his agent, George Get-d'Bucks, indicating that he is being called up to the El Paso Grandies, the Mountain Goats's corresponding Major League Baseball (MLB) team. Moreover, Gavin's contract is being revised to reflect his new status. The email describes the general terms and conditions of Gavin's revised contract. A ge From: George Get-d'Bucks To: Gavin Goldenarm Subject: New Team, New Contract Proposal Gavin, Conaratulations! You've been called up to the El Paso Grandies. Below are the offered Gavin is so excited! According to George, the contract is worth $3,082,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Gavin called you to review the terms of the contract and verify George's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Gavin have agreed that any funds received could be invested to earn 5.00%, compounded monthly. Gavin is so excited! According to George, the contract is worth $3,082,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Gavin called you to review the terms of the contract and verify George's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Gavin have agreed that any funds received could be invested to earn 5.00%, 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. Gavin Goldenarm's Contract Evaluation Worksheet Gavin Goldenarm's Contract Evaluation Worksheet D E 1 2 3 A Assumptions and Calculated Values Bank Rate Information: Gavin's Bank Account Rate (compounded monthly Monthly Bank Rate Effective Annual Interest Rate 06 5 4 5 Year 1 Year 2 Year 3 Year 4 Total value 11.6812 11.1127 10.5718 10.0573 0.9754 0.9513 0.9050 0.8610 0.8191 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 Cell B4 above) 15 Discounted Time-in-League Bonus 16 17 Milestone Bonus 18 Discount factor (based on Cell B5 above) 19 Discounted Milestone Bonus 20 21 Performance Bonus 22 Discount factor (based on Cell B5 above) 23 Discounted Performance Bonus 24 25 Monthly Endorsement Contract Payment 26 Discount factor (based on Cell B4 above) 27 Discounted Monthly Endorsement Payment 28 29 Contract's Total Nominal Value 30 Contract's Total Discounted Value 10 1 1 0 0 0 0 0 0 0.9513 0.9050 0.8610 0.8191 11.6812 11.1127 1. Given your worksheet calculations, which of the following statements is accurate? Is George's estimate of the value of Gavin's contract accurate on either a nominal or discounted basis? Check all that apply. George's estimate of the value of Gavin's contract is incorrect on a nominal basis, and the error is $52,513. George's estimate of the nominal value of Gavin's contract is correct. 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 Gavin'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 Gavin 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 Gavin Goldenarm 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 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, Gavin received the following email from his agent, George Get-d'Bucks, indicating that he is being called up to the El Paso Grandies, the Mountain Goats's corresponding Major League Baseball (MLB) team. Moreover, Gavin's contract is being revised to reflect his new status. The email describes the general terms and conditions of Gavin's revised contract. A ge From: George Get-d'Bucks To: Gavin Goldenarm Subject: New Team, New Contract Proposal Gavin, Conaratulations! You've been called up to the El Paso Grandies. Below are the offered Gavin is so excited! According to George, the contract is worth $3,082,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Gavin called you to review the terms of the contract and verify George's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Gavin have agreed that any funds received could be invested to earn 5.00%, compounded monthly. Gavin is so excited! According to George, the contract is worth $3,082,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Gavin called you to review the terms of the contract and verify George's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Gavin have agreed that any funds received could be invested to earn 5.00%, 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. Gavin Goldenarm's Contract Evaluation Worksheet Gavin Goldenarm's Contract Evaluation Worksheet D E 1 2 3 A Assumptions and Calculated Values Bank Rate Information: Gavin's Bank Account Rate (compounded monthly Monthly Bank Rate Effective Annual Interest Rate 06 5 4 5 Year 1 Year 2 Year 3 Year 4 Total value 11.6812 11.1127 10.5718 10.0573 0.9754 0.9513 0.9050 0.8610 0.8191 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 Cell B4 above) 15 Discounted Time-in-League Bonus 16 17 Milestone Bonus 18 Discount factor (based on Cell B5 above) 19 Discounted Milestone Bonus 20 21 Performance Bonus 22 Discount factor (based on Cell B5 above) 23 Discounted Performance Bonus 24 25 Monthly Endorsement Contract Payment 26 Discount factor (based on Cell B4 above) 27 Discounted Monthly Endorsement Payment 28 29 Contract's Total Nominal Value 30 Contract's Total Discounted Value 10 1 1 0 0 0 0 0 0 0.9513 0.9050 0.8610 0.8191 11.6812 11.1127 1. Given your worksheet calculations, which of the following statements is accurate? Is George's estimate of the value of Gavin's contract accurate on either a nominal or discounted basis? Check all that apply. George's estimate of the value of Gavin's contract is incorrect on a nominal basis, and the error is $52,513. George's estimate of the nominal value of Gavin's contract is correct. 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 Gavin'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 Gavin 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.]
