Assume b=0.05b=0.05 is a constant for all ii in the BDT model as we assumed in the video lectures. Calibrate the a_iai parameters so that the model term-structure matches the market term-structure. Be sure that the final error returned by Solver is at most 10^{-8}10−8. (This can be achieved by rerunning Solver multiple times if necessary, starting each time with the solution from the previous call to Solver. Once your model has been calibrated, compute the price of a payer swaption with notional $1M that expires at time t=3t=3 with an option strike of 00. You may assume the underlying swap has a fixed rate of 3.9\%3.9% and that if the option is exercised then cash-flows take place at times t=4, \ldots , 10t=4,…,10. (The cash-flow at time t=it=i is based on the short-rate that prevailed in the previous period, i. e. the payments of the underlying swap are made in arrears.)
Submission Guideline: Give your answer rounded to the nearest integer. For example, if you compute the answer to be 10,456.67, submit 10457.

In each of the cases below, assume division x has a product that can be sold either to outside customers or to division y of the same company for use in its production process. the managers of the divisions are evaluated based on their divisional profits. case a b division x: capacity in units 200,000 200,000 number of units being sold to outside customers 200,000 160,000 selling price per unit to outside customers $ 90 $ 75 variable costs per unit $ 70 $ 60 fixed costs per unit (based on capacity) $ 13 $ 8 division y: number of units needed for production 40,000 40,000 purchase price per unit now being paid to an outside supplier $ 86 $ 74 required: 1. refer to the data in case a above. assume in this case that $3 per unit in variable selling costs can be avoided on intracompany sales. a. what is the lowest acceptable transfer price from the perspective of the selling division? b. what is the highest acceptable transfer price from the perspective of the buying division? c. what is the range of acceptable transfer prices (if any) between the two divisions? if the managers are free to negotiate and make decisions on their own, will a transfer probably take place?