Finance memos
Student ver
| Alex Ng | ||||||||||||
| Telarus Case on the Cost of Capital | ||||||||||||
| Total Return | ||||||||||||
| Canada | Preferred Shares | P-Close | Telus Close | Dividends | Dividend | % Change | ||||||
| Canada Index | % Return | P-Close | % Return | % Return | % Returns | Per Share* | Dividends | |||||
| 2003 | 3969.8 | 18 | Color Key | Input data | ||||||||
| 2004 | 3256.8 | -0.180 | 19.25 | 0.069 | 0.126 | 0.057 | 1.02 | Formula Calculation | ||||
| 2005 | 3512.4 | 0.078 | 22.88 | 0.189 | 0.255 | 0.066 | 1.1 | 0.078 | ||||
| 2006 | 3350.4 | -0.046 | 19.63 | -0.142 | -0.092 | 0.050 | 1.15 | 0.045 | ||||
| 2007 | 4321.4 | 0.290 | 25.38 | 0.293 | 0.354 | 0.061 | 1.19 | 0.035 | ||||
| 2008 | 4213.6 | -0.025 | 24 | -0.054 | -0.006 | 0.048 | 1.23 | 0.034 | ||||
| 2009 | 4713.5 | 0.119 | 25 | 0.042 | 0.095 | 0.053 | 1.27 | 0.033 | ||||
| 2010 | 5927.03 | 0.257 | 29.65 | 0.186 | 0.238 | 0.052 | 1.31 | 0.031 | ||||
| 2011 | 6699.44 | 0.130 | 44.5 | 0.501 | 0.546 | 0.046 | 1.35 | 0.031 | ||||
| 2012 | 6485.94 | -0.032 | 41.95 | -0.057 | -0.026 | 0.032 | 1.4 | 0.037 | ||||
| 2013 | 8413.75 | 0.297 | 35.15 | -0.162 | -0.129 | 0.033 | 1.4 | 0.000 | ||||
| 2014 | 8933.68 | 0.062 | 41.55 | 0.182 | 0.222 | 0.040 | 1.4 | 0.000 | ||||
| Average | 0.086 | 29.904 | 0.095 | 0.144 | 0.049 | 1.256 | 0.032 | |||||
| Cost of Equity | Dividend Growth Model Approach | |||||||||||
| P(0) | 41.55 | |||||||||||
| D(1) | 1.4453417648 | * Common Stock | ||||||||||
| Re | 0.067 | Using Average Dividend Return | ||||||||||
| *assuming we treat the common shares as same as preferred shares paying dividends | ||||||||||||
| SML Approach | ||||||||||||
| Re = Rf + B (Rm - Rf) | ||||||||||||
| run regression on Excel, Canada Index Returns as X vs. Telus Total Returns as Y. | ||||||||||||
| It is called LINEST function | ||||||||||||
| 0.3741618861 | Beta | |||||||||||
| Risk-Free | % Return | |||||||||||
| 1-year | 0.0275 | |||||||||||
| 5-year | 0.045 | |||||||||||
| Market Risk Premium | 0.059 | |||||||||||
| Re | 0.0495652812 | Average Re | 0.058 | Cost of Equity | ||||||||
| Cost of Debt | Cost of Preferred | |||||||||||
| Long-Term Debt | You are calculating current dividend | |||||||||||
| Bonds | 3,328,000,000 | D | Preferred Share Dividends | 1.4 | ||||||||
| Preferred | Cost of Preferred Stock | 0.0336943442 | ||||||||||
| Shares | 70000000 | P | ||||||||||
| Telus Bonds | ||||||||||||
| Coupon Rate | 0.11 | |||||||||||
| Average Maturity | 15 | |||||||||||
| Prime Bank Rate | 0.045 | |||||||||||
| Bond Price (% of Par) | 1.18 | |||||||||||
| Yield to Maturity | 0.0899082569 | Cost of Debt | ||||||||||
| using YTM formula = coupon + (Face - Price)/maturity divided by (Face + Price)/2 | ||||||||||||
| WACC | ||||||||||||
| Equity | ||||||||||||
| Shares | 4785000000 | Long-Term Debt | ||||||||||
| Retained | 1563000000 | Bonds | 3328000000 | D | ||||||||
| Earnings | Preferred | |||||||||||
| Total Equity | 6,348,000,000 | E | Shares | 70000000 | P | |||||||
| V(E+P+D) | 9,746,000,000 | |||||||||||
| Weights | ||||||||||||
| E/V | 0.6513441412 | |||||||||||
| D/V | 0.341473425 | |||||||||||
| P/V | 0.0071824338 | |||||||||||
| Tax Rate | 0.5 | |||||||||||
| WACC | 5.36% | This is your required rate of return or discount rate | ||||||||||
| Capital Budget Investment | ||||||||||||
| This looks like another stage for this case, you would need to pose this as a ?? | ||||||||||||
| Now you have the WACC which tells you how much 165$million costs you, what is the NPV? | ||||||||||||
| Project Cost = 150 million | ||||||||||||
| Float Bond (including flotation cost) = 1.04*150 = $156 million | assume $$ already exists | |||||||||||
| After tax Cash Flows = $25 million per year, 14 years | ||||||||||||
| Outlay | 156 | |||||||||||
| Cash Flow | 30.25 | this is an expected Cash Flow Calc. 0.5*29 + 0.5*31.5 | ||||||||||
| Years | 7 | |||||||||||
| Total Cashflows | 172.7700953975 | present value of 7 years of cashflows | ||||||||||
| PVIF | 1.4413246239 | |||||||||||
| PVIFA | 5.7114081123 | |||||||||||
| NPV | 16.7700953975 | Is this a good project wrt NPV rule? | ||||||||||
| IRR | 8.28% | Is this a good project wrt IRR rule? | ||||||||||
| Year | CF | |||||||||||
| 0 | -156 | |||||||||||
| 1 | 30.25 | expected CF result | ||||||||||
| 2 | 30.25 | |||||||||||
| 3 | 30.25 | |||||||||||
| 4 | 30.25 | |||||||||||
| 5 | 30.25 | |||||||||||
| 6 | 30.25 | |||||||||||
| 7 | 30.25 |
Alex Karlen-Ng:
This red corner symbol shows hints for using Excel that you should try.
Windows User:
Use dividend growth formula: Re = D1/P0 + g
Windows User:
D0 is the most recent dividend paid.
Windows User:
this is the SML formula
Windows User:
LINEST will give you Beta. You just need to tell Excel which are the x and y values.
Windows User:
MRP = average Canada Index return - risk free rate
Windows User:
Input the SML formula here
Windows User:
since both methods give you a valid Re, then take the average of them
Windows User:
use the preferred yield formula = D /P0
Windows User:
sum up all equity = shares plus retained earnings
Windows User:
total all sources of capital
Windows User:
calculate your capital weights by dividing by V
Windows User:
Use the WACC formula
Windows User:
to calculate expected CF, you multiply probability, P x the CF and sum them up.
Windows User:
calculate by multiplying CF x PVIFA
alex:
difference between total returns (F) - closing price returns € = dividend returns