AMERICAN TOWER CORPORATION AND SUBSIDIARIES NOTES TO CONSOLIDATED FINANCIAL STATEMENTS six-month offering period.
The weighted average fair value per share of ESPP share purchase options during the year ended December 31, 2014, 2013 and 2012 was $14.83, $13.42 and $13.64, respectively.
At December 31, 2014, 3.4 million shares remain reserved for future issuance under the plan.
Key assumptions used to apply the Black-Scholes pricing model for shares purchased through the ESPP for the years ended December 31, are as follows:
## Table 0 ##
16.
EQUITY Mandatory Convertible Preferred Stock Offering—On May 12, 2014, the Company completed a registered public offering of 6,000,000 shares of its 5.25% Mandatory Convertible Preferred Stock, Series A, par value $0.01 per share (the “Mandatory Convertible Preferred Stock”).
The net proceeds of the offering were $582.9 million after deducting commissions and estimated expenses.
The Company used the net proceeds from this offering to fund acquisitions, including the acquisition from Richland, initially funded by indebtedness incurred under the 2013 Credit Facility.
Unless converted earlier, each share of the Mandatory Convertible Preferred Stock will automatically convert on May 15, 2017, into between 0.9174 and 1.1468 shares of common stock, depending on the applicable market value of the common stock and subject to anti-dilution adjustments.
Subject to certain restrictions, at any time prior to May 15, 2017, holders of the Mandatory Convertible Preferred Stock may elect to convert all or a portion of their shares into common stock at the minimum conversion rate then in effect.
Dividends on shares of Mandatory Convertible Preferred Stock are payable on a cumulative basis when, as and if declared by the Company’s Board of Directors (or an authorized committee thereof) at an annual rate of 5.25% on the liquidation preference of $100.00 per share, on February 15, May 15, August 15 and November 15 of each year, commencing on August 15, 2014 to, and including, May 15, 2017.
The Company may pay dividends in cash or, subject to certain limitations, in shares of common stock or any combination of cash and shares of common stock.
The terms of the Mandatory Convertible Preferred Stock provide that, unless full cumulative dividends have been paid or set aside for payment on all outstanding Mandatory Convertible Preferred Stock for all prior dividend periods, no dividends may be declared or paid on common stock.
Stock Repurchase Program—In March 2011, the Board of Directors approved a stock repurchase program, pursuant to which the Company is authorized to purchase up to $1.5 billion of common stock (“2011 Buyback”).
In September 2013, the Company temporarily suspended repurchases in connection with its acquisition of MIPT.
Under the 2011 Buyback, the Company is authorized to purchase shares from time to time through open market purchases or privately negotiated transactions at prevailing prices in accordance with securities laws and other legal requirements, and subject to market conditions and other factors.
To facilitate repurchases, the Company
Bank of America Corporation and Subsidiaries Consolidated Statement of Comprehensive Income
## Table 1 ##
During 2015, the Corporation sold nonperforming and other delinquent consumer real estate loans with a carrying value of $3.2 billion, including $1.4 billion of PCI loans, compared to $6.7 billion, including $1.9 billion of PCI loans, in 2014.
The Corporation recorded recoveries related to these sales of $133 million and $407 million during 2015 and 2014.
Gains related to these sales of $173 million and $247 million were recorded in other income in the Consolidated Statement of Income during 2015 and 2014.
The table below presents the Corporation’s nonperforming loans and leases including nonperforming TDRs, and loans accruing past due 90 days or more at December 31, 2015 and 2014.
Nonperforming LHFS are excluded from nonperforming loans and leases as they are recorded at either fair value or the lower of cost or fair value.
For more information on the criteria for classification as nonperforming, see Note 1 – Summary of Significant Accounting Principles.
## Table 2 ##
(1) Residential mortgage loans in the Core and Legacy Assets & Servicing portfolios accruing past due 90 days or more are fully-insured loans.
At December 31, 2015 and 2014, residential mortgage includes $4.3 billion and $7.3 billion of loans on which interest has been curtailed by the FHA, and therefore are no longer accruing interest, although principal is still insured, and $2.9 billion and $4.1 billion of loans on which interest is still accruing.
n/a = not applicable Credit Quality Indicators The Corporation monitors credit quality within its Consumer Real Estate, Credit Card and Other Consumer, and Commercial portfolio segments based on primary credit quality indicators.
For more information on the portfolio segments, see Note 1 – Summary of Significant Accounting Principles.
Within the Consumer Real Estate portfolio segment, the primary credit quality indicators are refreshed LTV and refreshed FICO score.
Refreshed LTV measures the carrying value of the loan as a percentage of the value of the property securing the loan, refreshed quarterly.
Home equity loans are evaluated using combined loan-to-value (CLTV) which measures the carrying value of the Corporation’s loan and available line of credit combined with any outstanding senior liens against the property as a percentage of the value of the property securing the loan, refreshed quarterly.
FICO score measures the creditworthiness of the borrower based on the financial obligations of the borrower and the borrower’s credit history.
At a minimum, FICO scores are refreshed quarterly, and in many cases, more frequently.
FICO scores are also a primary credit quality indicator for the Credit Card and Other Consumer portfolio segment and the business card portfolio within U. S.  small business commercial.
Within the Commercial portfolio segment, loans are evaluated using the internal classifications of pass rated or reservable criticized as the primary credit quality indicators.
The term reservable criticized refers to those commercial loans that are internally classified or listed by the Corporation as Special Mention, Substandard or Doubtful, which are asset quality categories defined by regulatory authorities.
These assets have an elevated level of risk and may have a high probability of default or total loss.
Pass rated refers to all loans not considered reservable criticized.
In addition to these primary credit quality indicators, the Corporation uses other credit quality indicators for certain types of loans.

Tables referenced above, in order (Table 0 first):
<table><tr><td></td><td>2014</td><td>2013</td><td>2012</td></tr><tr><td>Range of risk-free interest rate</td><td>0.06% – 0.11%</td><td>0.07% – 0.13%</td><td>0.05% – 0.12%</td></tr><tr><td>Weighted average risk-free interest rate</td><td>0.09%</td><td>0.10%</td><td>0.08%</td></tr><tr><td>Expected life of shares</td><td>6 months</td><td>6 months</td><td>6 months</td></tr><tr><td>Range of expected volatility of underlying stock price over the option period</td><td>11.29% – 16.59%</td><td>12.21% – 13.57%</td><td>33.16% – 33.86%</td></tr><tr><td>Weighted average expected volatility of underlying stock price</td><td>14.14%</td><td>12.88%</td><td>33.54%</td></tr><tr><td>Expected annual dividend yield</td><td>1.50%</td><td>1.50%</td><td>1.50%</td></tr></table>
<table><tr><td>(Dollars in millions)</td><td>2015</td><td>2014</td><td>2013</td></tr><tr><td>Net income</td><td>$15,888</td><td>$4,833</td><td>$11,431</td></tr><tr><td>Other comprehensive income (loss), net-of-tax:</td><td></td><td></td><td></td></tr><tr><td>Net change in available-for-sale debt and marketable equity securities</td><td>-1,598</td><td>4,621</td><td>-8,166</td></tr><tr><td>Net change in debit valuation adjustments</td><td>615</td><td>—</td><td>—</td></tr><tr><td>Net change in derivatives</td><td>584</td><td>616</td><td>592</td></tr><tr><td>Employee benefit plan adjustments</td><td>394</td><td>-943</td><td>2,049</td></tr><tr><td>Net change in foreign currency translation adjustments</td><td>-123</td><td>-157</td><td>-135</td></tr><tr><td>Other comprehensive income (loss)</td><td>-128</td><td>4,137</td><td>-5,660</td></tr><tr><td>Comprehensive income</td><td>$15,760</td><td>$8,970</td><td>$5,771</td></tr></table>
<table><tr><td></td><td colspan="4">December 31</td></tr><tr><td></td><td colspan="2">Nonperforming Loans and Leases</td><td colspan="2">Accruing Past Due90 Days or More</td></tr><tr><td>(Dollars in millions)</td><td>2015</td><td>2014</td><td>2015</td><td>2014</td></tr><tr><td>Consumer real estate</td><td></td><td></td><td></td><td></td></tr><tr><td>Core portfolio</td><td></td><td></td><td></td><td></td></tr><tr><td>Residential mortgage<sup>-1</sup></td><td>$1,845</td><td>$2,398</td><td>$2,645</td><td>$3,942</td></tr><tr><td>Home equity</td><td>1,354</td><td>1,496</td><td>—</td><td>—</td></tr><tr><td>Legacy Assets & Servicing portfolio</td><td></td><td></td><td></td><td></td></tr><tr><td>Residential mortgage<sup>-1</sup></td><td>2,958</td><td>4,491</td><td>4,505</td><td>7,465</td></tr><tr><td>Home equity</td><td>1,983</td><td>2,405</td><td>—</td><td>—</td></tr><tr><td>Credit card and other consumer</td><td></td><td></td><td></td><td></td></tr><tr><td>U.S. credit card</td><td>n/a</td><td>n/a</td><td>789</td><td>866</td></tr><tr><td>Non-U.S. credit card</td><td>n/a</td><td>n/a</td><td>76</td><td>95</td></tr><tr><td>Direct/Indirect consumer</td><td>24</td><td>28</td><td>39</td><td>64</td></tr><tr><td>Other consumer</td><td>1</td><td>1</td><td>3</td><td>1</td></tr><tr><td>Total consumer</td><td>8,165</td><td>10,819</td><td>8,057</td><td>12,433</td></tr><tr><td>Commercial</td><td></td><td></td><td></td><td></td></tr><tr><td>U.S. commercial</td><td>867</td><td>701</td><td>113</td><td>110</td></tr><tr><td>Commercial real estate</td><td>93</td><td>321</td><td>3</td><td>3</td></tr><tr><td>Commercial lease financing</td><td>12</td><td>3</td><td>17</td><td>41</td></tr><tr><td>Non-U.S. commercial</td><td>158</td><td>1</td><td>1</td><td>—</td></tr><tr><td>U.S. small business commercial</td><td>82</td><td>87</td><td>61</td><td>67</td></tr><tr><td>Total commercial</td><td>1,212</td><td>1,113</td><td>195</td><td>221</td></tr><tr><td>Total loans and leases</td><td>$9,377</td><td>$11,932</td><td>$8,252</td><td>$12,654</td></tr></table>

Question: assuming conversion at the maximum share conversion rate , how many common shares would result from a conversion of the mandatory convertible preferred stock , series a?
Answer: 6.8808e+06
Reasoning program: multiply(6000000,1.1468)