Question #11

Reading: Reading 26 The Arbitrage-Free Valuation Framework

PDF File: Reading 26 The Arbitrage-Free Valuation Framework.pdf

Page: 5

Status: Correct

Correct Answer: A

Question
Sam Roit, CFA, has collected the following information on the par rate curve, spot rates, and forward rates to generate a binomial interest rate tree consistent with this data. Maturity Par Rate Spot Rate 1 5% 5.000% 2 6% 6.030% 3 7% 7.097% The binomial tree generated is shown below (one year forward rates) assuming a volatility level of 10%: 0 1 2 5% 7.7099% C A 9.2625% B Riot also generated another tree using the same spot rates but this time assuming a volatility level of 20% as shown below: 0 1 2 5% 8.9480% 13.8180% 5.9980% 9.2625% 6.2088% The one-year forward rate represented by 'A' is closest to:
Answer Choices:
A. 6.3123%
B. 5.4223%
C. 6.7732%
Explanation
Value represented by 'A' = 7.7099 / e2x0.10 = 6.3123%
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