The LookbackPFloat function calculates the theoretical price, sensitivities, the implied volatility, and the implied strike value of a European partialtime floating strike lookback option using Heynen and Kat’s model. See Lookback Options for a further explanation.
LookbackPartialFloat 
(OptionType, ModelStatistic, Asset, Strike, Lambda, TimeStart, TimeExpire, Volatility, InterestRate, YieldRate, MarketPrice, TimeFormat, InterestType, YieldType) 
Note: Optional arguments are shown in Italics. MarketPrice is not Optional for the Implied Calculations.
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. 
Lambda 
The percentage of the strike that is fixed above or below the actual extreme. 
TimeStart 
Time, expressed in either Days or Years (depending on the TimeFormat value), until the beginning of the lookback period. Must be 0 < TimeStart < 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 
Riskfree 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. 
Example
Calculate the all of function of a partialtime floating strike lookback call option whose asset price 60 days from expiration is $83, the exercise price is $80, the fractional percentage of the extreme is 1, the time until the beginning of the lookback period is 30 days, the riskfree interest rate is 5% per annum, the yield rate is 4.5% per annum, and the annual volatility is 30%. All of the rates are considered continuous. So, 
Input 

Output 

Variable 
Value 

Function 
Name 
Value 
OptionType 
Call 

1 
Theoretical: 
7.066447 
Asset 
83 

2 
Delta: 
0.345154 
Strike 
80 

3 
Gamma: 
0.082245 
Lambda 
1 

4 
Theta: 
0.069281 
TimeStart 
30 

5 
Implied Vol.: 
0.296676 
TimeExpire 
60 

6 
Vega 
0.199974 
Volatility 
30% 

7 
Rho: 
0.076726 
InterestRate 
5% 

8 
Psi: 
0.088342 
YieldRate 
4.5% 

9 
Lambda: 
4.054060 
MarketPrice 
7 

11 
Strike Sensitivity: 
0.269767 
TimeFormat 
Days 

13 
Implied Strike: 
80.257192 
For a further example on this model see the included Excel Template located in the root directory of the addin. This example can be accessed through the Lookback Template menu item after the addin has been installed properly.
A list of all of the possible Error Messages is included for convenience.