Part $1$:

What is the value of this option in Year $1($t$=1)$ in the up state $($where the stock price is $$125)?$

Hint: use the replicating portfolio method from lecture.

$[$Please enter your answer in dollars, without the $ sign, with at least two decimals of precision. For example, enter $$1$ as $1\mathrm{.}00.]$

Part $2$:

What is the value of this option in Year $1($t$=1)$ in the down state $($where the stock price is $$80)?$

Hint: use the replicating portfolio method from lecture.

$[$Please enter your answer in dollars, without the $ sign, with at least two decimals of precision. For example, enter $$1$ as $1\mathrm{.}00.]$

Part $3$

What is the value of this option in year $0?$ Note this option will expire $($pay out$)$ in Year $2.$

Hint: use the answers to the previous two problems.

$[$Please enter your answer in dollars, without the $ sign, with at least two decimals of precision. For example, enter $$1$ as $1\mathrm{.}00.]$

Please assume the risk free rate is $5\%$ for all parts