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Number of shares 31.12.07 | Weighted average grant date fair value CHF | Number of shares 31.12.06 | Weighted average grant date fair value CHF | Number of shares 31.12.05 | Weighted average grant date fair value CHF | |
Unvested, at the beginning of the year | 56,141,102 | 58 | 53,725,186 | 46 | 49,273,638 | 40 |
Shares awarded during the year | 30,271,820 | 70 | 26,652,070 | 69 | 27,252,100 | 51 |
Vested during the year | (25,031,819) | 55 | (22,712,566) | 43 | (21,991,760) | 39 |
Forfeited during the year | (2,278,523) | 66 | (1,523,588) | 56 | (808,792) | 45 |
Unvested, at the end of the year | 59,102,580 | 66 | 56,141,102 | 58 | 53,725,186 | 46 |
UBS estimates the grant date fair value of shares awarded during the year by using the average UBS share price on the grant date as quoted on the virtX. The market value of shares vested was CHF 1,737 million, CHF 1,587 million and CHF 1,083 million for the years ended 31 December 2007, 31 December 2006 and 31 December 2005, respectively.
Movements in options granted under various equity participation plans described in Note 30a) are as follows:
Number of options 31.12.07 | Weighted average exercise price CHF 1 | Number of options 31.12.06 | Weighted average exercise price CHF 1 | Number of options 31.12.05 | Weighted average exercise price CHF 1 | |
Outstanding, at the beginning of the year | 176,779,087 | 50 | 181,765,090 | 42 | 201,814,708 | 35 |
Granted during the year | 45,129,476 | 71 | 45,517,013 | 71 | 45,202,854 | 55 |
Exercised during the year | (32,214,986) | 38 | (47,179,386) | 36 | (61,303,418) | 34 |
Forfeited during the year | (3,425,863) | 66 | (3,303,002) | 55 | (3,810,106) | 45 |
Expired unexercised | (274,384) | 62 | (20,628) | 40 | (138,948) | 34 |
Outstanding, at the end of the year | 185,993,330 | 55 | 176,779,087 | 50 | 181,765,090 | 42 |
Exercisable, at the end of the year | 90,453,625 | 42 | 80,312,503 | 36 | 74,788,838 | 35 |
The weighted average share price at the time when the options were exercised during the year was CHF 72, CHF 71 and CHF 53 for the years ended 31 December 2007, 31 December 2006 and 31 December 2005, respectively. The following table provides additional information about option awards:
31.12.07 | 31.12.06 | 31.12.05 | |
Intrinsic value of options exercised during the year (CHF million) | 1,046 | 1,660 | 1,224 |
Weighted average grant date fair value of options granted (CHF) | 11.11 | 12.39 | 8.01 |
The following table summarizes additional information about options outstanding and options exercisable at 31 December 2007:
Options outstanding | Options exercisable | |||||||
Range of exercise price per share | Number of options outstanding | Weighted average exercise price (CHF / USD) | Aggregate intrinsic value (CHF / USD million) | Weighted average remaining contractual term (years) | Number of options exercisable | Weighted average exercise price (CHF / USD) | Aggregate intrinsic value (CHF / USD million) | Weighted average remaining contractual term (years) |
CHF | ||||||||
26.6940.00 | 17,461,795 | 34.25 | 317 | 4.8 | 17,241,610 | 34.27 | 312 | 4.8 |
40.0150.00 | 14,334,889 | 46.77 | 81 | 5.5 | 14,201,947 | 46.79 | 80 | 5.5 |
50.0160.00 | 24,364,314 | 52.63 | 24 | 7.4 | 11,532,651 | 51.11 | 16 | 7.0 |
60.0170.00 | 5,791,089 | 64.50 | 0 | 9.0 | 607,206 | 64.34 | 0 | 8.1 |
70.0178.80 | 77,760,388 | 72.25 | 0 | 8.7 | 7,841,168 | 70.45 | 0 | 8.2 |
26.6978.80 | 139,712,475 | 61.14 | 422 | 7.7 | 51,424,582 | 47.38 | 408 | 6.0 |
USD | ||||||||
4.7420.00 | 138,622 | 14.20 | 4 | 2.1 | 138,622 | 14.20 | 4 | 2.1 |
20.0130.00 | 18,753,410 | 23.26 | 426 | 4.3 | 18,753,410 | 23.26 | 426 | 4.3 |
30.0140.00 | 10,550,084 | 36.26 | 103 | 6.3 | 10,508,448 | 36.24 | 103 | 6.3 |
40.0153.50 | 16,838,735 | 44.15 | 39 | 7.2 | 9,628,563 | 43.15 | 29 | 7.1 |
4.7453.50 | 46,280,851 | 33.79 | 572 | 5.8 | 39,029,043 | 31.63 | 562 | 5.5 |
The fair value of options is determined by means of a Monte Carlo simulation. The simulation technique uses a mix of implied and historic volatility and specific employee exercise behavior patterns based on statistical data, taking into account the specific terms and conditions under which the options are granted, such as the vesting period, forced exercises during the lifetime, and gain- and time-dependent exercise behavior. The expected term of each option is calculated as the probability-weighted average period of the time between grant and exercise. The term structure of volatility is derived from the implied volatilities of traded UBS options in combination with the observed long-term historic share price volatility. Dividends are assumed to grow at a fixed rate over the term of the option.
The fair value of options granted in 2007, 2006 and 2005 was determined using the following assumptions.
31.12.07 | |||
CHF awards | range low | range high | |
Expected volatility (%) | 23.86 | 22.51 | 29.23 |
Risk-free interest rate (%) | 2.58 | 2.46 | 3.27 |
Expected dividend (CHF) | 3.13 | 2.20 | 4.56 |
Strike price (CHF) | 71.31 | 55.48 | 78.80 |
Share price (CHF) | 70.25 | 55.48 | 78.80 |
31.12.06 | |||
CHF awards 1 | range low | range high | |
Expected volatility (%) | 25.38 | 22.51 | 27.18 |
Risk-free interest rate (%) | 2.15 | 1.96 | 2.68 |
Expected dividend (CHF) | 2.26 | 1.76 | 2.83 |
Strike price (CHF) | 71.19 | 65.13 | 77.33 |
Share price (CHF) | 70.16 | 65.13 | 76.25 |
31.12.05 | ||||||
CHF awards | range low | range high | USD awards | range low | range high | |
Expected volatility (%) | 23.20 | 12.39 | 27.03 | 23.36 | 15.21 | 27.21 |
Risk-free interest rate (%) | 2.00 | 0.62 | 2.34 | 4.11 | 1.91 | 4.63 |
Expected dividend (CHF / USD) | 2.30 | 1.50 | 3.89 | 1.89 | 1.22 | 4.12 |
Strike price (CHF / USD) | 52.08 | 48.23 | 63.23 | 44.11 | 39.25 | 48.26 |
Share price (CHF / USD) | 51.33 | 48.23 | 63.23 | 43.40 | 39.25 | 48.26 |
Generally, under IFRS, for all employee share and option awards as well as certain AIV awards, UBS recognizes compensation expense over the service period which is generally equal to the vesting period. Share and option awards typically have a three-year tiered vesting structure which means awards vest in one-third increments over that period.
The total share-based compensation expense recognized for the years ended 31 December 2007, 31 December 2006 and 31 December 2005 was CHF 2,389 million, CHF 2,188 million and CHF 1,662 million, respectively. For the years ended 31 December 2007, 31 December 2006 and 31 December 2005, the compensation expense recognized for share-based payments was primarily related to equity settled plans. At 31 December 2007, total compensation expense related to non-vested awards not yet recognized in the income statement is CHF 1,904 million, which is expected to be recognized in Personnel expenses over a weighted average period of 2.1 years.
During 2007, UBS increased the option life of certain options for certain employees, which resulted in a modification of the original terms of the option awards. This resulted in an incremental fair value granted of CHF 11 million, which was immediately recognized as compensation expense as future employee services are not required.
Payments to participants of cash-settled share-based and AIV plans for the years ended 31 December 2007, 31 December 2006 and 31 December 2005 were CHF 42 million, CHF 177 million and CHF 87 million, respectively. The total carrying amount of the liability related to these cash-settled plans amounted to CHF 134 million as of 31 December 2007.
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