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5. Blue Note Jazz Productions has decided to cash in on the country craze by sta

ID: 2804847 • Letter: 5

Question

5. Blue Note Jazz Productions has decided to cash in on the country craze by starting a subsidiary that will promote concerts by "Country Jazz" artists for the next three years. The country music boom is expected to subside by this time and the subsidiary will be folded. Blue Note expects that average ticket prices will be $35 and that ticket sales for the three years will be 300,000 tickets per year. Fixed cost each year are expected to be $3,000,000 and variable costs are expected to be 25% of sales. The subsidiary will need $4,000,000 in new equipment to start up and requires a $300,000 investment in working capital. The $4,000,000 in equipment will be depreciated straight-line over five years to a zero salvage value, but will be sold at the end of three years for an estimated $1,500,000. The firm's marginal tax rate is 40%. What is the NPV of this new investment if the firm's required rate of return is 12%? What is the IRR? Should the project be accepted?

Explanation / Answer

Investment = 4,000,000

Depreciation = Investment / 5 = 4,000,000 / 5 = 800,000

Value of the equipment after 3 years = 4,000,000 - 3 x 800,000 = 1,600,000

Sales = 300,000 x 35 = 10,500,000

VC = Sales x 25% = 10,500,000 x 25% = 2,625,000

EBT = Sales - VC - FC - Depreciation = 4,075,000

Cash Flows = Net Income + Depreciation + Investment + NWC + After-tax Salvage Value

NPV and IRR can be calculated using the same function on a calculator or excel

CF0 = -4,300,000, CF1 = 3,245,000 = CF2, CF3 = 5,085,000 and I/Y = 12%

=> Compute NPV = $4,803,618.12

and Compute IRR = 64.80%

As NPV > 0 and IRR > required return, the project should be accepted.

Blue Note 0 1 2 3 Investment -4,000,000 NWC -300,000 300,000 Salvage 1,500,000 Sales 10,500,000 10,500,000 10,500,000 VC -2,625,000 -2,625,000 -2,625,000 FC -3,000,000 -3,000,000 -3,000,000 Depreciation -800,000 -800,000 -800,000 EBT 4,075,000 4,075,000 4,075,000 Tax (40%) -1,630,000 -1,630,000 -1,630,000 Net Income 2,445,000 2,445,000 2,445,000 Cash Flows -4,300,000 3,245,000 3,245,000 5,085,000 NPV $4,803,618.12 IRR 64.80%
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