The correct answer is A ($28.25). According to put-call parity for European options, the relationship is given by:
S0+P0=C0+(1+r)TX
Where:
- S0 is the spot price ($40),
- P0 is the put premium,
- C0 is the call premium ($10),
- X is the strike price ($60),
- r is the interest rate (3%),
- T is the time to expiry (1 year).
Substituting the values:
40+P0=10+1.0360
Solving for P0:
P0=10+1.0360−40=28.25242718≈28.25
**Option B (30.00)∗∗isincorrectbecauseitfailstodiscountthestrikepriceby(1 + r)^T$.
Option C ($108.25) is incorrect because it incorrectly adds the spot price instead of subtracting it from the discounted strike price.