Question

A firms EV / EBITDA ratio has most recently (2018) been 7.8 but has grown as indicated in the below table since 2014. EBITDA

Please show any and all work or sub-calculations.

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Answer #1

EV = Enterptise Value = Market capitalization of stock + Debt - total cash.

EBITDA= Earning before interest, tax, depreciation and Amortization.

By seeing the table, there is a change in EBITDA is around $20,000 every year

Projected EBITDA = 2018 EBITDA + 20000 = 870000 + 20000 = 890,000

(or)

we can find the same from the equation: New Year EBITDA - last year EBITDA/ Last year EBITDA

Between 2014 and 2015: (825000 - 805000) / 805000 = 20000/ 805000 = 0.025

Between 2015 and 2016: (830000 - 825000) / 825000 = 5000/ 825000 = 0.006

Between 2016 and 2017: (850000 - 830000) / 830000 = 20000/ 830000 = 0.025

Between 2017 and 2018: (870000 - 850000) / 850000 = 20000/ 850000 = 0.025

Average of above 4 = (0.025 +0.006+0.025+0.025)/ 4 = 0.020

Projected 2019 EBITDA = 0.020* 2018 EBITDA = 0.020* 870000 = $ 887,500

EV = Enterptise Value

Market capitalization of Stock = Outstanding Shares * $100 per share = 50000 * 100 = 5,000,000

Debt = Long term Debt = $ 1,400,000

Cash = $ 75,000

EV = 5,000,000 + 1,400,000 - 75,000 = 6,325,000

EV/ EBITDA = 6,325,000/ 890,000 = 7.11 or  6,325,000/887500 = 7.13 => 7.1 (Rounding to nearest one decimal).

Calculation of Target Price at 31/12/2019

Target Price = (EV - Debt Value)/ No. of Outstanding Shares

= (6,325,000 - 1,400,000)/ 50,000

= 4,925,000 / 50,000

= $ 98.50 or $99

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