According to the life-cycle/permanent income hypothesis, consumption depends on the present discounted value of income. An increase in the real interest rate will make future income worth less, thereby reducing the present discounted value and reducing consumption. To incorporate this channel into the model, suppose the consumption equation is given by: Ct = acY t ? bc (Rt ? r)Y t

Assume the remainder of the model is unchanged from the original set-up.

a) Derive the IS curve for this new specification.
b) How and why does it differ from the original IS curve? (Hint: think about the slope).

Bond x is noncallable and has 20 years to maturity, a 7% annual coupon, and a $1,000 par value. your required return on bond x is 10%; if you buy it, you plan to hold it for 5 years. you (and the market) have expectations that in 5 years, the yield to maturity on a 15-year bond with similar risk will be 9.5%. how much should you be willing to pay for bond x today? (hint: you will need to know how much the bond will be worth at the end of 5 years.) do not round intermediate calculations. round your answer to the nearest cent.

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?

Given the production function q=96(k^0.3)(l^0.7), find the mpk and mpl functions. is mpk a function of k alone, or of both k and l? what about mpl?