Lonnie Carson purchased Royal Oaks Apartments two years ago. An opportunity has arisen for Carson to purchase a larger apartment project called Royal Palms, but Carson believes that he would have to sell Royal Oaks to have sufficient equity capital to purchase Royal Palms. Carson paid $$2$ million for Royal Oaks two years ago, with the land representing approximately $$200,000$ of that value. A recent appraisal indicated that the property is worth about $$2\mathrm{.}2$ million today. When purchased two years ago, Carson financed the property with a $70$ percent mortgage at $4\mathrm{.}75$ percent interest for $25$ years $($monthly payments$).$ The property is being depreciated over $271/2$ years $(1/271/2$ per year for simplicity$).$ Effective gross income during the next year is expected to be $$275,000,$ and operating expenses are projected to be $50$ percent of effective gross income. Carson expects the effective gross income to increase $2$ percent per year. The property value is expected to increase at the same $3$ percent annual rate. Carson is currently having to pay $35$ percent tax on ordinary income, $20$ percent on capital gain, and $25$ percent on depreciation recapture which he expects to remain the same in the future. Because Carson has other real estate investments that are now generating taxable income, he does not expect any tax losses from Royal Oaks to be subject to the passive activity loss limitations$.$ If he sells Royal Oaks, selling expenses would be $6$ percent of the sale price.

Required:

a$.$ How much after$-$tax cash flow $($ATCFs$)$ would Carson receive if Royal Oaks was sold today $($exactly two years after he purchased it$)?$

b$.$ What is the projected after$-$tax cash flow $($ATF$,)$ for the nextfive years if Carson does not sell Royal Oaks?

c$.$ How much after$-$tax cash flow $($ATCFs$)$ would Carson receive if he sold Royal Oaks five years from now?d$.$ Using the results from $($a$)$ through $($c$),$ find the after$-$tax rate of return on equity $($AT$/$RRe$)$ that Carson can expect to earn if he holds Royal Oaks for an additional five years versus selling it today.

e$.$ What is the marginal rate of return $($MRR$)$ if Carson holds the property for one additional year $($if he sells next year versus this year$)?$