You are supposed to receive $ 6,000 per year forever and it grows by 5% per year. If the discount rate is 11% and the first cashflow will be started after 5 years, what is the present value of these cashflows?
$ 65,873.1 |
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$ 59,345.13 |
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$ 100,000 |
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$ 73,119.14 |
Calculation of present value of perpetuity cash flow | |||||
Present value | Cash flow + Cash flow*(1+g)/(Discount rate - Growth rate) | ||||
Present value | 6000 + (6000*1.05)/(0.11-0.05) | ||||
Present value | 6000+105000 | ||||
Present value | $111,000 | ||||
Value today of future cash flow of $111,000 | |||||
Present value | 111000*(1/(1.11^5)) | ||||
Present value | 111000*0.593451 | ||||
Present value | $65,873.10 | ||||
Thus, present value of these cash flows is $65,873.1 | |||||
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