Ch 05: Assignment - Time Value of Money Congratulations! You've been called up to the Mobile Bayhoppers. Below are the offered terms and conditions of your new contract. After you review them and think about the offer, call me and we'll discuss your options. Congrats again! Salary and Incentives: Nick Nohitter hereafter referred to as the "Player," is offered a four-year contract with an annual salary of $594,000 per year, to be paid at the end of each month in the contract term. Under the league's collective bargaining agreement, the Player will receive a 4% cost-of-living adjustment (COLA) to his annual salary at the beginning of every other year. This means that the Player's annual salary will increase at the beginning of year 2 and year 4, as applicable. . In addition, the Player will receive a one-time $20,000 time-in-league bonus after six months of participation with an MLB team. This bonus will be paid immediately on completion of the six-month period. The Player is offered a performance-based bonus, as well as a milestone bonus. Both are intended to encourage outstanding performance. The Player is offered the following award-based performance incentive: a 15% bonus payable at the end of the operating year if he is selected to play in the All-Star game. The Player is also offered the following milestone bonus: a $75,000 bonus if he ties Nolan Ryan's 1973 single-season strikeout record (383 strikeouts). The Player is eligible for each potential bonus each year that the contract is in effect and, if expressed as a percentage, will be based on the value of the Player's base annual salary for the corresponding year. If earned, the performance and milestone bonuses will be distributed in a single payment at the beginning of the next contract year. Although this proposal describes only one milestone, the actual contract contains several progressive milestones. Exceeding one milestone creates the opportunity to exceed another. Nick is so excited! According to Noah, the contract is worth $3,112,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Nick called you to review the terms of the contract and verify Noah's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Nick have agreed that any funds received could be invested to earn 7.50%, 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. 2 3 . 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. . Nick Nohitter's Contract Evaluation Worksheet A 1 Assumptions and Calculated Values Bank Rate Information: Nick's Bank Account Rate (compounded monthly) D Ch 05: Assignment - Time Value of Money Values Bank Rate Information: Nick's Bank Account Rate (compounded monthly) Monthly Bank Rate Effective Annual Interest Rate 2 3 4 5 6 7 8 9 10 11 Discounted Annual Salary 12 13 Time-in-League Bonus 14 Discount factor (based on Cell B4 above) 18 15 Discounted Time-in-League Bonus 16 17 2222 Salary and Bonus Information: Annual Salary (4% COLA) Monthly Salary Discount factor (based on Cell B4 above) 20 19 Discounted Milestone Bonus 21 Milestone Bonus Discount factor (based on Cell B5 above) Performance Bonus Discount factor (based on Cell B5 above) 23 Discounted Performance Bonus $ S $ Year 1 11.5264 S 0.9633 0.9280 0.9280 % % $ $ Year 2 10.6960 0.8611 0.8611 S Year 3 9.9255 0,7991 0.7991 $ Year 4 9.2105 0.7415 0.7415 Total value h 05: Assignment - Time Value of Money 16 17 18 2222 19 20 21 26 23 24 25 Monthly Endorsement Contract Payment Discount factor (based on Cell B4 above) 27 Milestone Bonus Discount factor (based on Cell B5 above) Discounted Milestone Bonus 28 29 30 Performance Bonus Discount factor (based on Cell B5 above) Discounted Performance Bonus Discounted Monthly Endorsement Payment Contract's Total Nominal Value Contract's Total Discounted Value 0.9280 0.9280 11.5264 0.8611 0.8611 10.6960 0.7991 0.7991 0.7415 0.7415 $ $ 1. Given your worksheet calculations, which of the following statements is accurate? Is Noah's estimate of the value of Nick'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 nominal value of Nick's contract is correct. Noah's estimate of the value of Nick's contract is incorrect on a nominal basis, and the error is $50,389. Ch 05: Assignment - Time Value of Money Congratulations! You've been called up to the Mobile Bayhoppers. Below are the offered terms and conditions of your new contract. After you review them and think about the offer, call me and we'll discuss your options. Congrats again! Salary and Incentives: Nick Nohitter hereafter referred to as the "Player," is offered a four-year contract with an annual salary of $594,000 per year, to be paid at the end of each month in the contract term. Under the league's collective bargaining agreement, the Player will receive a 4% cost-of-living adjustment (COLA) to his annual salary at the beginning of every other year. This means that the Player's annual salary will increase at the beginning of year 2 and year 4, as applicable. . In addition, the Player will receive a one-time $20,000 time-in-league bonus after six months of participation with an MLB team. This bonus will be paid immediately on completion of the six-month period. The Player is offered a performance-based bonus, as well as a milestone bonus. Both are intended to encourage outstanding performance. The Player is offered the following award-based performance incentive: a 15% bonus payable at the end of the operating year if he is selected to play in the All-Star game. The Player is also offered the following milestone bonus: a $75,000 bonus if he ties Nolan Ryan's 1973 single-season strikeout record (383 strikeouts). The Player is eligible for each potential bonus each year that the contract is in effect and, if expressed as a percentage, will be based on the value of the Player's base annual salary for the corresponding year. If earned, the performance and milestone bonuses will be distributed in a single payment at the beginning of the next contract year. Although this proposal describes only one milestone, the actual contract contains several progressive milestones. Exceeding one milestone creates the opportunity to exceed another. Nick is so excited! According to Noah, the contract is worth $3,112,400-assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Nick called you to review the terms of the contract and verify Noah's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Nick have agreed that any funds received could be invested to earn 7.50%, 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. 2 3 . 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. . Nick Nohitter's Contract Evaluation Worksheet A 1 Assumptions and Calculated Values Bank Rate Information: Nick's Bank Account Rate (compounded monthly) D Ch 05: Assignment - Time Value of Money Values Bank Rate Information: Nick's Bank Account Rate (compounded monthly) Monthly Bank Rate Effective Annual Interest Rate 2 3 4 5 6 7 8 9 10 11 Discounted Annual Salary 12 13 Time-in-League Bonus 14 Discount factor (based on Cell B4 above) 18 15 Discounted Time-in-League Bonus 16 17 2222 Salary and Bonus Information: Annual Salary (4% COLA) Monthly Salary Discount factor (based on Cell B4 above) 20 19 Discounted Milestone Bonus 21 Milestone Bonus Discount factor (based on Cell B5 above) Performance Bonus Discount factor (based on Cell B5 above) 23 Discounted Performance Bonus $ S $ Year 1 11.5264 S 0.9633 0.9280 0.9280 % % $ $ Year 2 10.6960 0.8611 0.8611 S Year 3 9.9255 0,7991 0.7991 $ Year 4 9.2105 0.7415 0.7415 Total value h 05: Assignment - Time Value of Money 16 17 18 2222 19 20 21 26 23 24 25 Monthly Endorsement Contract Payment Discount factor (based on Cell B4 above) 27 Milestone Bonus Discount factor (based on Cell B5 above) Discounted Milestone Bonus 28 29 30 Performance Bonus Discount factor (based on Cell B5 above) Discounted Performance Bonus Discounted Monthly Endorsement Payment Contract's Total Nominal Value Contract's Total Discounted Value 0.9280 0.9280 11.5264 0.8611 0.8611 10.6960 0.7991 0.7991 0.7415 0.7415 $ $ 1. Given your worksheet calculations, which of the following statements is accurate? Is Noah's estimate of the value of Nick'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 nominal value of Nick's contract is correct. Noah's estimate of the value of Nick's contract is incorrect on a nominal basis, and the error is $50,389