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An analyst on the derivatives desk at a bank is valuing a 1-year put option on a stock index using a two-step binomial tree. The analyst gathers the following relevant information:
Current value of the index: 3,405
Strike price of the option: 3,500
Dividend yield of the index (continuously compounded): 2.92%
Risk-free interest rate (continuously compounded): 0.85%
Factor for an upward move in the tree: 1.1850
Factor for a downward move in the tree: 0.8439
Which of the following is closest to the risk-neutral probability of an upward move in the tree?
A
0.4275
B
0.4701
C
0.4881
D
0.5008