[Q: 21-6657664] Real Options with the Binomial Model. A construction company owns the right to build an office building in downtown Sacramento over the next year. The building would cost $44 million to construct. Due to low demand for office space, the office building would be worth $42.9 million today. If demand increases, the building would be worth $46.6 million in one year. If demand decreases, the building would be worth $39.6 million in one year. The company can borrow and lend at the risk-free annual effective rate of 5.5%. Use the binomial model to determine the value of the company's real option. Part A: Calculate the rate of return on the office building for each scenario. Rate of return if demand increases: 6. (Round your answer to two decimal places and use the rounded value in Parts C and D). Rate of return if demand decreases: 6. (Round your answer to two decimal places and use the rounded value in Parts C and D ). Part B: Calculate the two potential payoffs for the option at expiration. Hint: you'll want to think about whether the option to build is a call option or a put option and what the exercise price is. Payoff if demand increases: : million. (Round your answer to two decimal places and use the rounded value in Parts C and D). Payoff if demand decreases: $ million. (Round your answer to two decimal places and use the rounded value in Parts C and D) Part C: Use risk-neutral pricing to determine the probability that demand will increase. Probability that demand will increase: - (Round your answer to two decimal places and use the rounded value in Part D). Part D: Calculate the value of the real option using the binomial model. Real option value: $2 million. (Round your answer to two decimal places). [Q: 21-6657664] Real Options with the Binomial Model. A construction company owns the right to build an office building in downtown Sacramento over the next year. The building would cost $44 million to construct. Due to low demand for office space, the office building would be worth $42.9 million today. If demand increases, the building would be worth $46.6 million in one year. If demand decreases, the building would be worth $39.6 million in one year. The company can borrow and lend at the risk-free annual effective rate of 5.5%. Use the binomial model to determine the value of the company's real option. Part A: Calculate the rate of return on the office building for each scenario. Rate of return if demand increases: 6. (Round your answer to two decimal places and use the rounded value in Parts C and D). Rate of return if demand decreases: 6. (Round your answer to two decimal places and use the rounded value in Parts C and D ). Part B: Calculate the two potential payoffs for the option at expiration. Hint: you'll want to think about whether the option to build is a call option or a put option and what the exercise price is. Payoff if demand increases: : million. (Round your answer to two decimal places and use the rounded value in Parts C and D). Payoff if demand decreases: $ million. (Round your answer to two decimal places and use the rounded value in Parts C and D) Part C: Use risk-neutral pricing to determine the probability that demand will increase. Probability that demand will increase: - (Round your answer to two decimal places and use the rounded value in Part D). Part D: Calculate the value of the real option using the binomial model. Real option value: $2 million. (Round your answer to two decimal places)