Chooser

(ModelStatistic, Asset, Strike, TimeChoose, TimeExpire, Volatility, InterestRate, YieldRate, MarketPrice, TimeFormat, InterestType, YieldType)

Argument

Description

ModelStatistic

Numeric value indicating the type of function required for the return value:

•Theoretical = 1

•Delta = 2

•Gamma = 3

•Theta = 4

•ImpliedVol = 5

•Vega = 6

•Rho = 7

•Psi = 8

•Lambda = 9

•StrikeSensitivity = 11

•ImpliedStrike = 13

Asset

The price of the underlying asset. Must be > 0.

Strike

The price at which the asset can be purchased if the option is a call or sold if the option is a put. Must be > 0.

TimeChoose

The time, expressed in either Days or Years (depending on the TimeFormat value), until the buyer has to choose whether the option is a call or put.

Must be 0 < TimeChoose < TimeExpire.

TimeExpire

Time, expressed in either Days or Years (depending on the TimeFormat value), until the options expiration. Must be > 0.

Volatility

Annualized volatility of the underlying security. Must be > 0.

InterestRate

Risk-free interest rate expressed as a percentage. This rate is interpreted as a continuously compounded rate unless otherwise specified in the InterestType argument.

Must be > 0.

YieldRate

Yield, expressed as a percentage (dividends or interest yield), of the underlying asset price. This rate is interpreted as a continuously compounded rate unless specified otherwise in the YieldType argument.

MarketPrice

Optional. The selling price of the option in the marketplace. This input is required when implied volatility and strike are calculated. Price must be > 0.

TimeFormat

Optional. Alphanumeric value indicating the format of the time arguments (i.e. TimeExpire). If omitted, Days are used as the default. Specified as either:

•Days = 0 or "D" (case insensitive)

•Years = 1 or "Y" (case insensitive)

InterestType

Optional. Alphanumeric value indicating the type of InterestRate to use when evaluating the option. This value is converted to Continuously Compounded for the calculations. If omitted, a Continuously Compounded rate is used.

YieldType

Optional. Alphanumeric value indicating the type of YieldRate to use when evaluating the option. This value is converted to Continuously Compounded for the calculations. If omitted, a Continuously Compounded rate is used.

Calculate all of functions for a simple chooser option whose asset price 60 days from the chooser date and 90 days from expiration is $62. The exercise price is $65, the risk-free interest rate is 7.5% per annum, the yield rate is 3.5% per annum, and the annual volatility is 25%. All of the rates are considered continuous. So,

Input

Output

Variable

Value

Function

Name

Value

Asset

62

1

Theoretical:

5.941501

Strike

65

2

Delta:

-0.217452

TimeChoose

60

3

Gamma:

0.109761

TimeExpire

90

4

Theta:

-0.033427

Volatility

25%

5

Implied Vol.:

0.252747

InterestRate

7.5%

6

Vega:

0.212848

YieldRate

3.5%

7

Rho:

-0.047894

MarketPrice

6

8

Psi:

0.033243

TimeFormat

Days

9

Lambda:

-2.269132

11

Strike Sensitivity:

0.298824

13

Implied Strike:

65.189774

Complex Chooser

Compound

Compound Binomial

Executive

Forward Start

Time Switch

Writer Extendible