CashOrNothing

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

Argument

Description

OptionType

Alphanumeric value indicating the type of option:

•Call = 1 or "c" (case insensitive)

•Put = 2 or "p" (case insensitive)

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.

Payout

The amount paid at expiration if the option is in the money.  Must be > 0.

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 cash-or-nothing call option whose asset price 90 days from expiration is $62, the exercise price is $60, the payoff is $5, the risk-free interest rate is 6.5% per annum, the yield rate is 5% per annum, and the annual volatility is 20%. All of the rates are considered continuous. So,

Input

Output

Variable

Value

Function

Name

Value

OptionType

Call

1

Theoretical:

3.073660

Asset

62

2

Delta:

0.303109

Strike

60

3

Gamma:

-0.020530

Payoff

5

4

Theta:

0.004099

InterestRate

6.5%

5

Implied Vol.:

0.220491

YieldRate

5%

6

Vega:

-0.038920

TimeExpire

90

7

Rho:

0.038759

Volatility

20%

8

Psi:

-0.046338

TimeFormat

Days

9

Lambda:

6.114122

MarketPrice

3

11

Strike Sensitivity:

-0.313212

13

Implied Strike:

60.234229

Asset or Nothing

Two Asset Cash or Nothing

Gap

Supershare

Binary Barrier