Question

In: Finance

Google has cash flows of $29.10, $36.93, and $45.03 billion for the next three years. After...

Google has cash flows of $29.10, $36.93, and $45.03 billion for the next three years. After that Google’s cash flows is $47.51 billion and its cash flow will grow at 5.5% forever. The cost of capital is 10.20%. Google has 700 million shares outstanding. What is the price of Google stock today?

Solutions

Expert Solution

Terminal value is future value of equity for the perpetuity.Terminal value will be calculated at the end of year 3 using year 4 cash flow, cost of capital and growth rate of 5.5% forever. as terminal value is calculated at the end of year 3, so it will discounted only for 3 years.

Terminal value = cash flow in year 4/(cost of capital - growth rate)

Present value (PV) of cash flow = cash flow/(1+cost of capital)year

Price of Google stock today is $1,208.29.

Years 0 1 2 3 4
Cash flows $0.00 $29,100,000,000.00 $36,930,000,000.00 $45,030,000,000.00 $47,510,000,000.00
Terminal value $0.00 $0.00 $0.00 $1,010,851,063,829.79 $0.00
PV of cash flows $0.00 $26,406,533,575.32 $30,409,978,886.76 $788,987,672,709.79 $0.00
Total PV of cash flows $845,804,185,171.87
No. of shares outstanding 700,000,000
Price per share $1,208.29

Formulas and calculation


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