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Ronald Franklin, CFA, has recently been promoted to junior portfolio manager for a large equity portfolio at Davidson-Sherman (DS), a large multinational investment-banking firm. He is specifically responsible for the development of a new investment strategy that DS wants all equity portfolio managers to implement. Upper management at DS has instructed its portfolio managers to begin overlaying option strategies on all equity portfolios. The relatively poor performance of many of their equity portfolios has been the main factor behind this decision. Prior to this new mandate, DS portfolio managers had been allowed to use options at their own discretion, and the results were somewhat inconsistent. Some portfolio managers were not comfortable with the most basic concepts of option valuation and their expected return profiles, and simply did not utilize options at all. Upper management of DS wants Franklin to develop an option strategy that would be applicable to all DS portfolios regardless of their underlying investment composition. Management views this new implementation of option strategies as an opportunity to either add value or reduce the risk of the portfolio. Franklin gained experience with basic options strategies at his previous job. As an exercise, he decides to review the fundamentals of option valuation using a simple example. Franklin recognizes that the behavior of an option's value is dependent on many variables and decides to spend some time closely analyzing this behavior. His analysis has resulted in the information shown in Exhibits 1 and 2 for European style options.

Exhibit 1: Input for European Options

Stock Price (S)

100

Strike Price (X)

100

Interest Rate (r)

0.07

Dividend Yield (q)

0.00

Time to Maturity (years) (t)

1.00

Volatility (Std. Dev.)(Sigma)

0.20

Black-Scholes Put Option Value

$4.7809

Exhibit 2: European Option Sensitivities

Sensitivity

Call

Put

Delta

0.6736

-0.3264

Gamma

0.0180

0.0180

Theta

-3.9797

2.5470

Vega

36.0527

36.0527

Rho

55.8230

-37.4164

Franklin wants to know if the option sensitivities shown in Exhibit 2 have minimum or maximum bounds. Which of the following are the minimum and maximum bounds, respectively, for the put option delta?
A. -1 and 1.
B. -1 and 0.
C. -1 and no maximum bound.
D. There are no minimum or maximum bounds.
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