Consider a Stock Priced at $30 with a Standard Deviation

question 38

Multiple Choice

Consider a stock priced at $30 with a standard deviation of 0.3. The risk-free rate is 0.05. There are put and call options available at exercise prices of 30 and a time to expiration of six months. The calls are priced at $2.89 and the puts cost $2.15. There are no dividends on the stock and the options are European. Assume that all transactions consist of 100 shares or one contract (100 options) . Use this information to answer questions 1 through 10.
-What is the maximum profit that the writer of a call can make?

• A)$2,711
• B)$289
• C)$3,000
• D)$3,289
• E)none of the above

---

Definitions:

Interest

The cost of borrowing money or the return on investment for lending money, determined as a percentage of the principal amount.

Desired Amount

The specific sum of money or financial goal an individual or entity aims to achieve.

Monthly Rate

The interest rate or other fees assessed on a monthly basis, often used in loans and financial agreements.

Student Loan

A loan offered to students which is used to pay off educational expenses and is repayable after graduation, typically with interest.