Task: Table-QA (source dataset: FinQA)

Task: 
You are given a table containing structured data and a natural language question referring to the table. Your goal is to analyze the table and provide an accurate and concise answer based on the given data.

Instructions:
1. Understand the Table: Examine the structure, headers, and data in the table. Identify relevant columns and rows related to the question.
2. Interpret the Question: Determine whether the question requires direct retrieval, aggregation, comparison, sorting, filtering, or inference.
3. Extract the Answer: Use logical reasoning and numerical operations (if necessary) to derive the correct response from the table.
4. Format the Answer: No explanation, return the answer in a structured JSON format: {"answer": <answer>}. If the question cannot be answered due to missing or ambiguous data, return a JSON response with {"answer": null}.

Table:
| Unnamed: 0               | options              | weighted-average exercise price   |
|:-------------------------|:---------------------|:----------------------------------|
| balance january 1 2000   | 6569200              | $ 4.55                            |
| granted                  | 1059700              | 11.92                             |
| exercised                | -398138 ( 398138 )   | 4.55                              |
| forfeited                | -26560 ( 26560 )     | 6.88                              |
| balance december 31 2000 | 7204202              | $ 5.62                            |
| granted                  | 953350               | 15.45                             |
| exercised                | -1662475 ( 1662475 ) | 4.59                              |
| forfeited                | -16634 ( 16634 )     | 11.18                             |
| balance december 31 2001 | 6478443              | $ 7.31                            |
| granted                  | 871000               | 19.55                             |
| exercised                | -811791 ( 811791 )   | 5.52                              |
| forfeited                | -63550 ( 63550 )     | 15.44                             |
| balance december 31 2002 | 6474102              | $ 9.10                            |

Question:
what is the total value of the balance of options as of december 31 , 2002 , in millions?


pre_text: packaging corporation of america notes to consolidated financial statements ( continued ) december 31 , 2002 2 .
summary of significant accounting policies ( continued ) stock-based compensation pca entered into management equity agreements in june 1999 with 125 of its management-level employees .
these agreements provide for the grant of options to purchase up to an aggregate of 6576460 shares of pca 2019s common stock at $ 4.55 per share , the same price per share at which pca holdings llc purchased common stock in the transactions .
the agreement called for these options to vest ratably over a five-year period , or upon completion of an initial public offering , full vesting with contractual restrictions on transfer for a period of up to 18 months following completion of the offering .
the options vested with the initial public offering in january 2000 , and the restriction period ended august , 2001 .
in october 1999 , the company adopted a long-term equity incentive plan , which provides for grants of stock options , stock appreciation rights ( sars ) , restricted stock and performance awards to directors , officers and employees of pca , as well as others who engage in services for pca .
option awards granted to officers and employees vest ratably over a four-year period , whereas option awards granted to directors vest immediately .
under the plan , which will terminate on june 1 , 2009 , up to 4400000 shares of common stock is available for issuance under the long-term equity incentive plan .
a summary of the company 2019s stock option activity , and related information for the years ended december 31 , 2002 , 2001 and 2000 follows : options weighted-average exercise price .
post_text: clean proof : for cycle 12 .
label: 58.91433
qa: answer: 58.9
ann_table_rows: 13
steps: op: multiply2-1
arg1: 6474102
arg2: 9.10
res: 58914328.2
op: divide2-2
arg1: #0
arg2: const_1000000
res: 58.9
program: multiply(6474102, 9.10), divide(#0, const_1000000)
gold_inds: table_13: the balance december 31 2002 of options is 6474102 ; the balance december 31 2002 of weighted-average exercise price is $ 9.10 ;
exe_ans: 58.91433
tfidftopn: table_9: The balance december 31 2001 of options is 6478443 ; The balance december 31 2001 of weighted-average exercise price is $ 7.31 ;
table_5: The balance december 31 2000 of options is 7204202 ; The balance december 31 2000 of weighted-average exercise price is $ 5.62 ;
program_re: divide(multiply(6474102, 9.10), const_1000000)
model_input: table_5
the balance december 31 2000 of options is 7204202 ; the balance december 31 2000 of weighted-average exercise price is $ 5.62 ;
table_9
the balance december 31 2001 of options is 6478443 ; the balance december 31 2001 of weighted-average exercise price is $ 7.31 ;
table_13
the balance december 31 2002 of options is 6474102 ; the balance december 31 2002 of weighted-average exercise price is $ 9.10 ;