Suppose an Commodore $64$ supercomputer has a cost of $$200,000$ and will have a residual

market value of $$50,000$ in $5$ years. The risk$-$free interest rate is $3\%$ APR with monthly

compounding.

a$.$ What is the risk$-$free monthly lease rate for a five$-$year lease in a perfect market? $($round to $1$

decimal$)$ $

$(2813-2814)$

b$.$ What would be the monthly payment for a five$-$year $$200,000$ risk$-$free loan to purchase the

Commodore $64?($round to $1$ decimal$)$ $

$(3593-3594)$