Question #6
Reading: Reading 31 Valuation of Contingent Claims
PDF File: Reading 31 Valuation of Contingent Claims.pdf
Page: 3
Status: Unattempted
Part of Context Group: Q6-9
First in Group
Shared Context
Question
Assume that a three-year semi-annually settled floor with a strike rate of 8% and a notional amount of $100 million is being analyzed. The reference rate is six-month London Interbank Offered Rate (LIBOR). Suppose that LIBOR for the next four semi-annual periods is as follows: Period LIBOR 1 7.5% 2 8.2% 3 8.1% 4 8.7% What is the payoff for the floor for period 1?
Answer Choices:
A. $0
B. $250,000
C. $500,000
Explanation
The payoff for each semi-annual period is computed as follows:
Payoff = notional amount × (floor rate − six-month LIBOR) / 2
so for period 1:
= $100 million × (8.0% − 7.5%) / 2 = $250,000