Sunday, March 27, 2011

How to Determine the Value of a Stock




For the past several years I've used Morningstar's Premium service for stock valuation. Morningstar uses a Discounted Cash Flow model to determine Fair Value (i.e. intrinsic value), which can get quite complex. In his book, The Intelligent Investor, Benjamin Graham describes a simpler formula to determine intrinsic value.

Formula: V = EPS x (8.5 + 2G) * (4.4 / Y)

where:


  • V: Intrinsic Value
  • EPS: the company’s last 12-month earnings per share
  • 8.5: the constant represents the appropriate P/E ratio for a no-growth company as proposed by Graham
  • G: the company’s future long-term (five years) earnings growth estimate
  • 4.4: the average yield of high-grade corporate bonds in 1962, when this model was introduced
  • Y: the current yield on AAA corporate bonds


I use the modified formula from Old School Value, which uses a P/E of 7 for a no-growth company and a multiplier of 1.5G rather than 2G, since these are more conservative.

Modified Formula: V = EPS x (7 + 1.5G) * (4.4 / Y)

The original formula uses the last 12-month EPS (TTM), however, like Old School Value, I normalize EPS over a 10 year period, which estimates future EPS for the next 5 years, using a linear forecast based on the previous 10 years, and then takes the median of the previous 5 years and next 5 years to arrive at a normalized EPS. For estimated future 5yr growth rate I use 3 different sources, 1) Yahoo Finance, 2) Morningstar, and 3) MSN Money. I found that each site has a different 5yr estimate, so I use an average of these estimates.

Determining intrinsic value, no matter which method/formula is used, relies on estimating earnings and earnings growth, which is nothing more than an educated guess, so it's important to discount whatever valuation you determine. This is a Graham concept known as Margin of Safety. Purchasing stocks with a sufficient Margin of Safety below Fair Value helps to protect against being wrong on the earnings estimates/growth. How much of a Margin of Safety to require depends on your confidence level in the company and the estimates you use. I typically use a Margin of Safety range between 20%-40% below Fair Value.

Once I have all the input parameters I plug them into my spreadsheet, which is a modified version of the one at Old School Value, and calculate the Fair Value and Target Buy Price. I then compare the results to Morningstar's valuation.

Let's look at an example for Abbott Laboratories (ABT) using the modified Graham Formula:










InputValue
10yr Normalized Earnings$3.75
Average 5yr Growth Rate9.29%
20yr AAA Corp Bond Rate5.44%
Desired Margin of Safety20%
ResultsValue
Fair Value$64.00
Target Buy Price$51.00


To compare the Graham Formula to Morningstar's valuation I input Morningstar's Fair Value and Target Buy Price and solve for the implied 5yr growth rate. Here's the same example using Morningstar's Fair Value:










InputValue
M* Fair Value$68.00
M* Target Buy Price$54.00
M* Margin of Safety20%
10yr Normalized Earnings$3.75
20yr AAA Corp Bond Rate5.44%
ResultsValue
Implied 5yr Growth Rate10.28%


As you can see, both valuations are very close, with only a 1% difference in the 5yr growth rate.

Let's do another example, this time for Lowes (LOW) using the modified Graham Formula:










InputValue
10yr Normalized Earnings$1.94
Average 5yr Growth Rate14.60%
20yr AAA Corp Bond Rate5.44%
Desired Margin of Safety30%
ResultsValue
Fair Value$45.00
Target Buy Price$32.00


Here's the same example using the Morningstar's Fair Value:










InputValue
M* Fair Value$36.00
M* Target Buy Price$25.00
M* Margin of Safety30%
10yr Normalized Earnings$3.75
20yr AAA Corp Bond Rate5.44%
ResultsValue
Implied 5yr Growth Rate10.68%


Here you can see that there's almost a $10 difference in Fair Value and a 4% difference in the 5yr growth rate. That's still pretty close. One way to deal with differences is to use an average of both results which would be:






ResultsValue
Average Fair Value$41.00
Average Target Buy Price$33.00
Average 5yr Growth Rate12.64%


Now let's look at Pfizer (PFE), where the valuations are very different. Here's the modified Graham Formula:










InputValue
10yr Normalized Earnings$1.22
Average 5yr Growth Rate2.38%
20yr AAA Corp Bond Rate5.44%
Desired Margin of Safety30%
ResultsValue
Fair Value$10.00
Target Buy Price$7.00


Here's the same example using the Morningstar's Fair Value:










InputValue
M* Fair Value$26.00
M* Target Buy Price$18.00
M* Margin of Safety30%
10yr Normalized Earnings$1.22
20yr AAA Corp Bond Rate5.44%
ResultsValue
Implied 5yr Growth Rate12.84%


Morningstar's implied 5yr growth rate is about 10 times greater than the average 5yr estimates. That's a very big difference. Either Morningstar overestimated the growth rate or the analysts underestimated it. Again, you can use the average of both results:






ResultsValue
Average Fair Value$18.00
Average Target Buy Price$13.00
Average 5yr Growth Rate7.63%


So, there you have it. A fairly simple way to determine stock valuation and target buy price thanks to Ben Graham. It may not be an exact science, but it's definitely worth the effort.

Sunday, March 20, 2011

SYK - Closed




The Stryker Corp (SYK) Mar11 50.00 Call was exercised and the position was closed. All prices include IB commissions.

Position Summary





Cost Basis$5,000.00
Net Profit$635.74
Percent Return12.71%
Annualized Return15.42%
Days Held to Expiration301 days


Trade History



















DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
5/21/2010SYKCSP Margin UsedCSP 100 SYK @ 50.00 ($5,000.00) 
5/21/2010SYKInitial Put OptionSTO 1 Sep10 50.00 Put @ 2.55Exercised $254.54
9/17/2010SYKCSP Margin ReturnedCSP 100 SYK @ -50.00 $5,000.00 
9/17/2010SYKStock AssignedEX 1 Sep10 50.00 Put @ -50.00Called($5,000.00) 
9/24/2010SYKContinued TradeSTO 1 Nov10 50.00 Call @ 1.45Closed $145.24
10/29/2010SYKDividend ReceivedDIV 100 Dividend @ 0.15  $15.00
11/18/2010SYKBuy Back and Roll OutBTC 1 Nov10 50.00 Call @ -1.44  ($143.76)
11/18/2010SYKContinued TradeSTO 1 Dec10 50.00 Call @ 2.21Closed $221.24
12/13/2010SYKBuy Back and Roll OutBTC 1 Dec10 50.00 Call @ -3.26  ($325.76)
12/13/2010SYKContinued TradeSTO 1 Mar11 50.00 Call @ 4.51Exercised $451.24
1/31/2011SYKDividend ReceivedDIV 100 Dividend @ 0.18  $18.00
3/18/2011SYKStock CalledEX 1 Mar11 50.00 Call @ 50.00  $5,000.00
3/18/2011SYK Net Cost/Profit-Loss ($5,000.00)$635.74
DTE301 Percent Profit-Loss/Annualized 12.71%15.42%

Friday, March 18, 2011

TLT - Adjustment




The following adjustment was made today on iShares Trust Barclays 20 Year Treasury Bond Fund (TLT). All prices include IB commissions.







DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
3/18/2011TLTBuy Back and Roll OutBTC 1 Mar11 98.00 Put @ -4.81  ($481.01)
3/18/2011TLTContinued TradeSTO 1 Jun11 98.00 Put @ 6.82  $681.87


Current Position Summary





Cost Basis($9,800.00)
Income Generated$555.04
Percent Income Generated5.66%
Annualized Income Generated8.08%
Net Profit If Assigned$555.04
Percent Return If Assigned5.66%
Annualized Return If Assigned8.08%
Days Held to Expiration256 days


Trade History

















DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
10/4/2010TLTCSP Margin UsedCSP 100 TLT @ 98.00 ($9,800.00) 
10/4/2010TLTInitial Put OptionSTO 1 Nov10 98.00 Put @ 0.49Closed $48.99
11/18/2010TLTBuy Back and Roll OutBTC 1 Nov10 98.00 Put @ -2.25  ($224.96)
11/18/2010TLTContinued TradeSTO 1 Dec10 98.00 Put @ 3.39Closed $339.04
12/8/2010TLTBuy Back and Roll OutBTC 1 Dec10 98.00 Put @ -4.96  ($495.96)
12/8/2010TLTContinued TradeSTO 1 Jan11 98.00 Put @ 5.74Closed $573.99
12/28/2010TLTBuy Back and Roll OutBTC 1 Jan11 98.00 Put @ -6.71  ($670.96)
12/28/2010TLTContinued TradeSTO 1 Mar11 98.00 Put @ 7.84Closed $784.04
3/18/2011TLTBuy Back and Roll OutBTC 1 Mar11 98.00 Put @ -4.81  ($481.01)
3/18/2011TLTContinued TradeSTO 1 Jun11 98.00 Put @ 6.82  $681.87
6/17/2011TLT Totals ($9,800.00)$555.04
DTE256 Percent Income/Annualized 5.66%8.08%

TBT - Adjustment




The following adjustment was made on today on ProShares UltraShort 20+ Year Treasury (TBT). All prices include IB commissions.







DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
3/18/2011TBTBuy Back and Roll Out/UpBTC 2 Mar11 41.00 Call @ -0.01  ($2.00)
3/18/2011TBTInterim TradeSTO 2 Apr11 40.00 Call @ 0.19  $38.57


Current Position Summary





Cost Basis($9,200.00)
Income Generated$666.30
Percent Income Generated7.24%
Annualized Income Generated7.38%
Net Profit If Assigned($533.70)
Percent Return If Assigned-5.80%
Annualized Return If Assigned-5.91%
Days Held to Expiration358 days


Trade History





















DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
4/22/2010TBTCSP Margin UsedCSP 200 TBT @ 46.00 ($9,200.00) 
4/22/2010TBTInitial Put OptionSTO 2 May10 46.00 Put @ 0.55Closed $110.57
5/21/2010TBTBuy Back and Roll OutBTC 2 May10 46.00 Put @ -7.24  ($1,448.13)
5/21/2010TBTContinued TradeSTO 2 Sep10 46.00 Put @ 8.14Exercised $1,628.57
9/8/2010TBTCSP Margin ReturnedCSP 100 TBT @ -46.00 $4,600.00 
9/8/2010TBTStock AssignedEX 1 Sep10 46.00 Put @ -46.00 ($4,600.00) 
9/9/2010TBTInterim TradeSTO 2 Oct10 37.00 Call @ 0.27Expired $54.57
10/21/2010TBTInterim TradeSTO 2 Nov10 37.00 Call @ 0.27Closed $54.67
11/18/2010TBTBuy Back and Roll Out/UpBTC 2 Nov10 37.00 Call @ -0.23  ($46.33)
11/18/2010TBTInterim TradeSTO 2 Dec10 38.00 Call @ 0.91Closed $182.57
12/13/2010TBTBuy Back and Roll Out/UpBTC 2 Dec10 38.00 Call @ -1.83  ($365.43)
12/13/2010TBTInterim TradeSTO 2 Mar11 41.00 Call @ 2.29Closed $458.67
3/18/2011TBTBuy Back and Roll Out/UpBTC 2 Mar11 41.00 Call @ -0.01  ($2.00)
3/18/2011TBTInterim TradeSTO 2 Apr11 40.00 Call @ 0.19  $38.57
4/15/2011TBT Totals ($9,200.00)$666.30
DTE358 Percent Income/Annualized 7.24%7.38%

JNJ - Adjustment




The following adjustment was made today on Johnson and Johnson (JNJ). All prices include IB commissions.








CriteriaValue
Dividend Champions StatusChampion
Years of Consecutive Dividend Increases48
Years of Positive Free Cash Flow (last 10 years)10
Ratio of P/E at Cost / 5yr Average P/E0.81
Discount to Morningstar's Fair Value Estimate22.08%








DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
3/18/2011JNJBuy Back and Roll OutBTC 1 Mar11 60.00 Put @ -1.63  ($163.01)
3/18/2011JNJContinued TradeSTO 1 Apr11 60.00 Put @ 1.89  $188.99


Current Position Summary





Cost Basis($6,000.00)
Income Generated$120.02
Percent Income Generated2.00%
Annualized Income Generated9.13%
Net Profit If Assigned$120.02
Percent Return If Assigned2.00%
Annualized Return If Assigned9.13%
Days Held to Expiration80 days


Trade History











DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
1/25/2011JNJCSP Margin UsedCSP 100 JNJ @ 60.00 ($6,000.00) 
1/25/2011JNJInitial Put OptionSTO 1 Mar11 60.00 Put @ 0.94Closed $94.04
3/18/2011JNJBuy Back and Roll OutBTC 1 Mar11 60.00 Put @ -1.63  ($163.01)
3/18/2011JNJContinued TradeSTO 1 Apr11 60.00 Put @ 1.89  $188.99
4/15/2011JNJ Totals ($6,000.00)$120.02
DTE80 Percent Income/Annualized 2.00%9.13%

Sunday, February 20, 2011

VFC - Closed




The V F Corp (VFC) Feb11 65.00 Put expired and the position was closed. All prices include IB commissions.

Position Summary





Cost Basis$6,500.00
Net Profit$153.99
Percent Return2.37%
Annualized Return5.80%
Days Held to Expiration149 days


Trade History










DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
9/22/2010VFCCSP Margin UsedCSP 100 VFC @ 65.00 ($6,500.00) 
9/22/2010VFCInitial Put OptionSTO 1 Feb11 65.00 Put @ 1.54Expired $153.99
2/18/2011VFCCSP Margin ReturnedCSP 100 VFC @ -65.00  $6,500.00
2/18/2011VFC Net Cost/Profit-Loss ($6,500.00)$153.99
DTE149 Percent Profit-Loss/Annualized 2.37%5.80%

VFC - Closed




The V F Corp (VFC) Feb11 85.00 Call was exercised and the position was closed. All prices include IB commissions.

Position Summary





Cost Basis$8,500.00
Net Profit$516.26
Percent Return6.07%
Annualized Return7.54%
Days Held to Expiration294 days


Trade History

















DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
4/30/2010VFCCSP Margin UsedCSP 100 VFC @ 85.00 ($8,500.00) 
4/30/2010VFCInitial Put OptionSTO 1 May10 85.00 Put @ 0.99Closed $99.14
5/21/2010VFCBuy Back and Roll OutBTC 1 May10 85.00 Put @ -7.49  ($748.86)
5/21/2010VFCContinued TradeSTO 1 Aug10 85.00 Put @ 9.29Expired $928.99
8/20/2010VFCCSP Margin ReturnedCSP 100 VFC @ -85.00 $8,500.00 
8/20/2010VFCStock AssignedEX 1 Aug10 85.00 Put @ -85.00 ($8,500.00) 
9/1/2010VFCContinued TradeSTO 1 Feb11 85.00 Call @ 1.14Exercised $113.99
9/20/2010VFCDividend ReceivedDIV 100 Dividend @ 0.60  $60.00
12/20/2010VFCDividend ReceivedDIV 100 Dividend @ 0.63  $63.00
2/18/2011VFCStock CalledEX 1 Feb11 85.00 Call @ 85.00  $8,500.00
2/18/2011VFC Net Cost/Profit-Loss ($8,500.00)$516.26
DTE294 Percent Profit-Loss/Annualized 6.07%7.54%

TLT - Closed




The iShares 20+ Year Treasury Bond Fund (TLT) Feb11 88.00 Put expired and the position was closed. All prices include IB commissions.

Position Summary





Cost Basis$8,800.00
Net Profit$71.99
Percent Return0.82%
Annualized Return5.06%
Days Held to Expiration59 days


Trade History










DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
12/21/2010TLTCSP Margin UsedCSP 100 TLT @ 88.00 ($8,800.00) 
12/21/2010TLTInitial Put OptionSTO 1 Feb11 88.00 Put @ 0.72Expired $71.99
2/18/2011TLTCSP Margin ReturnedCSP 100 TLT @ -88.00  $8,800.00
2/18/2011TLT Net Cost/Profit-Loss ($8,800.00)$71.99
DTE59 Percent Profit-Loss/Annualized 0.82%5.06%

TBT - Closed




The ProShares UltraShort 20+ Year Treasury (TBT) Feb11 35.00 Put expired and the position was closed. All prices include IB commissions.

Position Summary





Cost Basis$7,000.00
Net Profit$138.07
Percent Return1.97%
Annualized Return12.20%
Days Held to Expiration59 days


Trade History










DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
12/21/2010TBTCSP Margin UsedCSP 200 TBT @ 35.00 ($7,000.00) 
12/21/2010TBTInitial Put OptionSTO 2 Feb11 35.00 Put @ 0.69Expired $138.07
2/18/2011TBTCSP Margin ReturnedCSP 200 TBT @ -35.00  $7,000.00
2/18/2011TBT Net Cost/Profit-Loss ($7,000.00)$138.07
DTE59 Percent Profit-Loss/Annualized 1.97%12.20%

SYK - Closed




The Stryker Corp (SYK) Feb11 50.00 Put expired and the position was closed. All prices include IB commissions.

Position Summary





Cost Basis$5,000.00
Net Profit$62.24
Percent Return1.24%
Annualized Return7.70%
Days Held to Expiration59 days


Trade History










DateStockDescriptionTransactionStatusStock InvestmentIncome Generated
12/21/2010SYKCSP Margin UsedCSP 100 SYK @ 50.00 ($5,000.00) 
12/21/2010SYKInitial Put OptionSTO 1 Feb11 50.00 Put @ 0.62Expired $62.24
2/18/2011SYKCSP Margin ReturnedCSP 100 SYK @ -50.00  $5,000.00
2/18/2011SYK Net Cost/Profit-Loss ($5,000.00)$62.24
DTE59 Percent Profit-Loss/Annualized 1.24%7.70%