You are considering purchasing one of two assets. Asset 1 has payments of 5,000 at the end of year 1, 10,000 at the end of year 3, and 15,000 at the end of year 5. The price for Asset 1 today is 26,000. Asset 2 has payments of 12,000 at the end of year 4 and 20,000 at the end of year 5. The price of the asset 3 years from now is 29,500. If the current spot curve is below, what is the one year forward rate, deferred three years

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

For each separate case below, follow the 3-step process for adjusting the prepaid asset account at december 31. step 1: determine what the current account balance equals. step 2: determine what the current account balance should equal. step 3: record the december 31 adjusting entry to get from step 1 to step 2. assume no other adjusting entries are made during the year. a. prepaid insurance. the prepaid insurance account has a $4,700 debit balance to start the year. a re- view of insurance policies and payments shows that $900 of unexpired insurance remains at year-end. b. prepaid insurance. the prepaid insurance account has a $5,890 debit balance at the start of the year. a review of insurance policies and payments shows $1,040 of insurance has expired by year-end. c.prepaidrent.onseptember1ofthecurrentyear,thecompanyprepaid$24,000 for 2 years of rentfor facilities being occupied that day. the company debited prepaid rent and credited cash for $24,000.

Why are the four primary service outputs of spatial convenience, lot size, waiting time, and product variety important to logistics management? provide examples of competing firms that differ in the level of each service output provided to customers?