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You\'ve just joined the investment banking firm of Dewey, Cheatum, and Howe. The

ID: 2823662 • Letter: Y

Question

You've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements. You can have $71.000 per year for the next two years, or you can have $60,000 per year for the next two years, along with a $16.000 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 2

Explanation / Answer

Value today Option 1 $ 1,30,815.44 Option 2 $ 1,26,548.26 Working: Option 1: Monthly Salary = $       71,000 / 12 = $ 5,916.67 Present Value of annuity of 1 = (1-(1+i)^-n)/i Where, = (1-(1+0.00667)^-24)/0.00667 i 8%/12 = 0.00667 = 22.10965 n 2*12 = 24 Present Value of salary = Monthly Salary x Present Value of annuity of 1 = $       5,916.67 x 22.10965 = $ 1,30,815.44 Option 2: Monthly Salary = $           60,000 / 12 = $    5,000 Present Value of signing bonus = $           16,000 Present value of monthly salary = Monthly Salary x Present value of annuity of 1 = $             5,000 x 22.10965 = $ 1,10,548.26 Present Value of total cash flows = $           16,000 + $ 1,10,548.26 = $ 1,26,548.26

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