Pricing and Valuation of Options; Put-Call Parity: practice question
A dealer quotes a six-month put option on Halstead Mining at a premium of $4.20. Halstead shares trade at $33.40, and the option's strike is $36.00. The option's time value is closest to:
- $2.60
- $4.20
- $1.60
Show answer and explanation
Correct answer: C
Working: Intrinsic value = max(0, X − S) = 36.00 − 33.40 = $2.60. Time value = premium − intrinsic = 4.20 − 2.60 = $1.60.
Explanation: C is correct. Time value is the part of the premium above intrinsic value: the put is $2.60 in the money, so time value = 4.20 − 2.60 = $1.60, reflecting the chance the put finishes further in the money before expiry. A is incorrect because $2.60 is the intrinsic value itself — the amount by which the strike exceeds the stock price — not the time value. B is incorrect because the entire premium equals time value only for an out-of-the-money option; here part of the $4.20 is intrinsic and only $1.60 is time value.
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