Renting a machine will need monthly payments of $6,000 for the next 5 years (i.e., at t = 1, 2, …, 60). However,if we choose to buy the machine today,w

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    a.  Renting a machine will need monthly payments of $6,000 for the next 5 years (i.e., at t = 1, 2, …, 60). However,if we choose to buy the machine today,which is (t = 0) will cost $320,000. Assume the machine's value is zero after 5 years. It is   possible to borrow and lend at a semi-annually compounded interest rate of 6% (APR). Would it be better to buy or to lease?  Explain.

     b.We are currently at year 0. It is worthy to note that there is a perpetuity that pays $250 at the end of each odd year and $150 at  the end of each even year. The term structure is flat at 10% per year. Evaluate the present value of this perpetuity.

    c.Assume the CAPM is valid.The return on asset ABC is perfectly correlated with the return on market portfolio. Your friend  makes the following statetment: a portfolio that had a dollar invested and  at the same time,shorting one dollar of the market portfolio will have no systematic risk. Comment on this and whether it is feasible.

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