Exhibit 23.1 Use the Information Below for the Following Problem(S)

question 83

Multiple Choice

Exhibit 23.1
Use the Information Below for the Following Problem(S)
A company buys an interest rate cap that pays the difference between LIBOR and 8% if LIBOR exceeds 8%. Current LIBOR is 7%. The amount of the option is $2,500,000, and the settlement is every 6 months. Assume a 360 day year.
-Refer to Exhibit 23.1.Find the payoff if LIBOR closes at 8.2%.

• A) $0.00
• B) $25,000.00
• C) $50,000.00
• D) -$25,000.00
• E) -$50,000.00

---

Definitions:

Variance

An index of variability in a set of data, established by taking the average squared deviation from the mean.

Tchebysheff's Theorem

A theorem that states for any real numbers k > 1, at least (1-1/k^2) of the data values fall within k standard deviations of the mean for any distribution.

Empirical Rule

A statistical rule stating that for a normally distributed dataset, about 68% of values fall within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean.

Tchebysheff's Theorem

A mathematical formula that determines the minimum proportion of values that lie within a specified number of standard deviations from the mean, for any distribution.