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  "Description": "Algorithms to price American and European equity options,\nconvertible bonds and a variety of other financial derivatives.\nIt uses an extension of the usual Black-Scholes model in which\njump to default may occur at a probability specified by a\npower-law link between stock price and hazard rate as found in\nthe paper by Takahashi, Kobayashi, and Nakagawa (2001)\n<doi:10.3905/jfi.2001.319302>.  We use ideas and techniques\nfrom Andersen and Buffum (2002) <doi:10.2139/ssrn.355308> and\nLinetsky (2006) <doi:10.1111/j.1467-9965.2006.00271.x>.",
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    "CouponBond",
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      ],
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      "table": false,
      "tojson": true
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      "title": "Present value of coupons according to an acceleration schedule",
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        "Bond Coupons"
      ],
      "topics": [
        "accelerated_coupon_value"
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    },
    {
      "page": "adjust_for_dividends",
      "title": "Find the sum of time-adjusted dividend values and adjust grid prices according to their size in the given interval",
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        "Dividends"
      ],
      "topics": [
        "adjust_for_dividends"
      ]
    },
    {
      "page": "american",
      "title": "Price one or more american-exercise options",
      "concept": [
        "American Exercise Equity Options",
        "Equity Independent Default Intensity"
      ],
      "topics": [
        "american"
      ]
    },
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      "page": "american_implied_volatility",
      "title": "Implied volatility of an american option with equity-independent term structures",
      "concept": [
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        "Equity Independent Default Intensity",
        "Implied Volatilities",
        "implied volatility"
      ],
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      ]
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      "title": "A standard option contract allowing for _early_ exercise at the choice of the option holder",
      "topics": [
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        "AmericanOption-class"
      ]
    },
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      "title": "Black-Scholes pricing of european-exercise options with term structure arguments",
      "concept": [
        "Equity Independent Default Intensity",
        "European Options"
      ],
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        "black_scholes_on_term_structures"
      ]
    },
    {
      "page": "blackscholes",
      "title": "Vectorized Black-Scholes pricing of european-exercise options",
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        "Equity Independent Default Intensity",
        "European Options"
      ],
      "topics": [
        "blackscholes"
      ]
    },
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      "topics": [
        "CALL"
      ]
    },
    {
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      "title": "Callable (and putable) corporate or government bond.",
      "concept": [
        "bond",
        "callable",
        "putable"
      ],
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        "CallableBond",
        "CallableBond-class"
      ]
    },
    {
      "page": "check_discount_factor_fcn",
      "title": "Check that a discount factor function is internally consistent",
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        "Input Checking"
      ],
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        "check_discount_factor_fcn"
      ]
    },
    {
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      "title": "Check that a survival probability function is well-behaved",
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      ],
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      ]
    },
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      ],
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      ]
    },
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      "concept": [
        "Implicit Grid Solver"
      ],
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      ]
    },
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      "topics": [
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      ]
    },
    {
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      "title": "Form instrument objects for vanilla options",
      "concept": [
        "American Exercise Equity Options"
      ],
      "topics": [
        "control_variate_pairs"
      ]
    },
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      "title": "Convertible bond with exercise into stock",
      "topics": [
        "ConvertibleBond",
        "ConvertibleBond-class"
      ]
    },
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        "Bond Coupons"
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        "CouponBond-class"
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      "title": "An option contract with call or put terms",
      "topics": [
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        "EquityOption-class"
      ]
    },
    {
      "page": "equivalent_bs_vola_to_jump",
      "title": "Find straight Black-Scholes volatility equivalent to jump process with a given default risk",
      "concept": [
        "Equity Independent Default Intensity",
        "Implied Volatilities"
      ],
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        "equivalent_bs_vola_to_jump"
      ]
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      "concept": [
        "Equity Independent Default Intensity",
        "Implied Volatilities"
      ],
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        "equivalent_jump_vola_to_bs"
      ]
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      "title": "A standard option contract",
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        "EuropeanOption",
        "EuropeanOption-class"
      ]
    },
    {
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        "Greeks"
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        "Implicit Grid Solver"
      ],
      "topics": [
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        "fit_to_option_market"
      ]
    },
    {
      "page": "fit_to_option_market_df",
      "title": "Calibrate volatilities and equity-linked default intensity making many assumptions",
      "concept": [
        "Equity Dependent Default Intensity"
      ],
      "topics": [
        "fit_to_option_market_df"
      ]
    },
    {
      "page": "fit_variance_cumulation",
      "title": "Fit piecewise constant volatilities to a set of equity options",
      "concept": [
        "Equity Dependent Default Intensity",
        "Implied Volatilities",
        "implied volatility"
      ],
      "topics": [
        "fit_variance_cumulation"
      ]
    },
    {
      "page": "form_present_value_grid",
      "title": "Use a model to estimate the present value of financial derivatives on a grid of initial underlying values",
      "concept": [
        "Equity Dependent Default Intensity",
        "Implicit Grid Solver"
      ],
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    {
      "page": "GREEK_NAMES",
      "title": "Greeks available for computation, presently \"delta\", \"gamma\", \"theta\", \"vega\", \"rates_dv01\", and \"credit_dv01\".  Note in particular that we use the term 'rates_dv01' rather than 'rho'",
      "concept": [
        "Greeks"
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      "topics": [
        "GREEK_NAMES"
      ]
    },
    {
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      "title": "Representation of financial instrument amenable to grid pricing schemes",
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        "GridPricedInstrument",
        "GridPricedInstrument-class"
      ]
    },
    {
      "page": "implied_jump_process_volatility",
      "title": "Implied volatility of any instrument",
      "concept": [
        "Equity Dependent Default Intensity",
        "Implied Volatilities",
        "implied volatility"
      ],
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      ]
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      "page": "implied_volatilities",
      "title": "Implied volatilities of european-exercise options under Black-Scholes or a jump-process extension",
      "concept": [
        "Equity Independent Default Intensity",
        "European Options",
        "Implied Volatilities"
      ],
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    {
      "page": "implied_volatilities_with_rates_struct",
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      "concept": [
        "Equity Independent Default Intensity",
        "European Options",
        "Implied Volatilities"
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      "page": "implied_volatility",
      "title": "Implied volatility of european-exercise option under Black-Scholes or a jump-process extension",
      "concept": [
        "Equity Independent Default Intensity",
        "European Options",
        "Implied Volatilities"
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        "European Options",
        "Implied Volatilities"
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