Can you please explain the work to get the answer the correc

Can you please explain the work to get the answer, the correct answer is D

The price of a 1-year U.S. dollar-denominated call option on the Swiss franc with a strike price of $1.30 is $0.11715. The price of an otherwise equivalent put option is $0.23417. The annual continuously compounded U.S. interest rate is 8%. What is the 1-year U.S. dollar-Swiss franc forward price?

$1.0830/Fr

$1.0830/Fr

$1.1609/Fr

$1.1830/Fr

$1.1732/Fr

$1.1920/Fr

Can you please explain the work to get the answer, the correct answer is D The price of a 1-year U.S. dollar-denominated call option on the Swiss franc with a strike price of $1.30 is $0.11715. The price of an otherwise equivalent put option is $0.23417. The annual continuously compounded U.S. interest rate is 8%. What is the 1-year U.S. dollar-Swiss franc forward price?

Selected Answer: a. $1.0830/Fr Answers: a. $1.0830/Fr b. $1.1609/Fr c. $1.1830/Fr d. $1.1732/Fr e. $1.1920/Fr

Solution

This question can be answered by put call parity formula as shown below,

C-P = S- Xe^(-rt)

C= call price

p = put price

S= stock price

X = strike price

r = continuous compounding rate

0.11715 - 0.23417 = S- 1.30*(e^(-0.08*1))

S= 1.08303

This is underlying stock price.

The question is about the future price of the same stock

F= S*(e^(rt))

= 1.30*(e^(0.08*1)

=1.1732

Answer is matching with the option d.