Concept explainers
To select: The preferable salary arrangement offered by an investment bank.
Introduction:
The cash flow is the overall money that is transacted inside and outside the business mainly while affecting the liquidity of the business.
Answer to Problem 35QP
The first salary arrangement gives a present value
Explanation of Solution
Given information:
Person X has joined an investment banking company. The company provides two various salary arrangements to Person X. The first one is that Person X will be provided $6,700 per month for the upcoming two years. The second arrangement is that Person X will be provided $5,400 per month for the upcoming two years including a bonus of $25,000 at present. The rate of interest is given at 7% compounded on a monthly basis.
Note: It is necessary to compare the two cash flows by finding the cash flows value at a common period. Hence, we have to compute the present value of every cash flow stream. As the cash flows are monthly, it is necessary to use the monthly rate of interest.
Formula to compute the monthly rate:
Compute the monthly rate:
Hence, the monthly rate is 0.58%.
Formula of present value
Note: C denotes the annuity payment or annual cash flow, r denotes the rate of interest, and t denotes the period.
Compute the present value annuity for first arrangement:
Hence, the present value annuity for the first salary arrangement is $149,645.17.
Compute the present value annuity for second arrangement:
Hence, the present value annuity for the second salary arrangement is $120,609.54.
Note: The first choice is best in the above case.
Formula to compute the value of second option:
Compute the value of second option:
Hence, the value of second option is $145,609.54.
Formula to compute the difference in the value at present:
Compute the difference in the value at present:
Hence, the difference in the value at present is $4,035.63.
Note: Compute the future value for the two cash flows.
Formula to compute the future value annuity:
Where,
“C” denotes the annual cash flow or annuity payment,
“r” denotes the rate of interest,
“t” denotes the period.
Compute the future value annuity for the first arrangement:
Hence, the future value annuity for the first arrangement is $172,062.91.
Compute the future value for the second arrangement:
Hence, the future value for the second arrangement is $167,422.72.
Note: The first option is again the best choice.
Formula to compute the difference in the future value:
Compute the difference in the future value:
Hence, the difference in the future value is $4,640.19.
Want to see more full solutions like this?
Chapter 5 Solutions
Essentials of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
- Q4. You've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements. You can have $95,000 per year for the next two years, or you can have $70,000 per year for the next two years, along with a $45,000 signing bonus today. The bonus is paid immediately, and the salary is paid at the end of each year. If the interest rate is 10 percent compounded monthly, which do you prefer?arrow_forwardYou’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They’ve offered you two different salary arrangements. You can have $7,900 per month for the next three years, or you can have $6,600 per month for the next three years, along with a $35,500 signing bonus today. Assume the interest rate is 5 percent compounded monthly. a. If you take the first option, $7,900 per month for three years, what is the present value? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the present value of the second option? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) A value of first option B Value of Second Optionarrow_forwardYou've just joined the investment banking firm of Dewey, Cheatum, and Howe. They'veoffered you two different salary arrangements. You can have $7,000 per month for thenext two years, or you can have $5,700 per month for the next two years, along with a$31,000 signing bonus today. Assume the interest rate is 6 percent compoundedmonthly.a. If you take the first option, $7,000 per month for two years, what is the present value?(Do not round intermediate calculations and round your answer to 2 decimalplaces, e.g., 32.16.)b. What is the present value of the second option? (Do not round intermediatecalculations and round your answer to 2 decimal places, e.g., 32.16.)arrow_forward
- Off-The-Books Investment Firm, LLC, has offered you an investment it says will return to you $20,000 in 2 years. To get in, you'll need to make a $10,000 deposit to their receivables account and promise not to tell anyone about it. What is the annual return on investment? Answer in Excel.arrow_forwardYou’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They’ve offered you two different salary arrangements. You can have $8,500 per month for the next three years, or you can have $7,200 per month for the next three years, along with a $38,500 signing bonus today. Assume the interest rate is 8 percent compounded monthly. a. If you take the first option, $8,500 per month for three years, what is the present value? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the present value of the second option? (arrow_forwardAssume that you have $10,000,000 in your bank account. You wish to withdraw $400,000 per year, at the end of each year, for the next 5 years, after which you wish to have $11,000,000 in the bank. What is the balance in your account after the 2nd year (after the withdrawal)? Hint: you will need first to solve for rate in Excel given all other parameters. Watch signs. Select one: a. $10,366,644 b. $10,600,000 c. $9,600,000 d. $10,488,912arrow_forward
- 1. You are an employee that earns 20,000 per month. Assuming that you want to invest half of the amount to be invested at the end of each month in a mutual fund that would grow at a rate of 6% for five years. How much would be the future value of this investment? 2. Assuming that you obtain a bank loan for 500,000 with an annual interest payment of 10% of the principal. Compute for the present value under the following independent scenarios: a. Effective rate is 10% b. Effective rate is 8% c. Effective rate is 12%arrow_forwardYou've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements. You can have $80,000 per year for the next two years, or you can have $69,000 per year for the next two years, along with a $25,000 signing bonus today. The bonus is paid immediately and the salary is paid in equal amounts at the end of each month. If the interest rate is 8 percent compounded monthly, what is the value today of each option? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)arrow_forwardYou've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements. You can have $77,000 per year for the next two years, or you can have $66,000 per year for the next two years, along with a $22,000 signing bonus today. The bonus is paid immediately and the salary is paid in equal amounts at the end of each month. If the interest rate is 8 percent compounded monthly, what is the value today of each option? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Option 1 Option 2arrow_forward
- You've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements: Arrangement 1: you can have $75,000 per year for the next two years, or Arrangement 2: you can have $64,000 per year for the next two years, along with a $20,000 signing bonus today. The bonus is paid immediately, and the salary is paid in equal amounts at the end of each month. The interest rate is 10 percent compounded monthly. a) What is the present value of Arrangement 1? b) What is the present value of Arrangement 2? c) Which arrangement do you preferarrow_forwardYou've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements. You can have $66,000 per year for the next two years, or you can have $55,000 per year for the next two years, along with a $11,000 signing bonus today. The bonus is paid immediately, and the salary is paid in equal amounts at the end of each month. If the interest rate is 9 percent compounded monthly, what is the PV for both the options? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) PV Option 1 $______ Option 2 $_______arrow_forwardYou want to invest $25,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 4% that is compounded bimonthly (every two months). What is the effective rate of return that you will earn from this investment? 4.067% 4.188% 3.926% 4.152% Suppose you decide to deposit $25,000 in a savings account that pays a nominal rate of 4%, but interest is compounded daily. Based on a 365-day year, how much would you have in the account after six months? (Hint: To calculate the number of days, divide the number of months by 12 and multiply by 365.) $25,505.01 $26,015.11 $26,397.69 $24,739.86arrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education