A property is purchased for $10,000. An 70% Interest-Only Loan is secured at 6% interest. The first-year income is $100, and the rent grows at 4% per year, and the property is sold at the end of the 5th Year for $4,000. What is the leveraged Cash on Cash return?
Sol :
Property purchase value = $10,000
70% loan = 70% of $10,000 = $7,000 (PV)
Interest (r) = 6% per year
Period (n) = 5 years
Future value (FV) at the end of 5th year = PV (1+r)^n
FV = 7000 (1+6%)^5
FV = 7000 (1.06)^5
FV = $9367.58
Interest paid on loan = FV - PV
Interest paid on loan = $9367.58 - $7000 = 2367.58
Future value of rent,
Rent = $100
Interest (r) = 4% per year
FV of rent = Present value (1+r)^n-1/r
FV of rent = 100 (1+4%)^5-1/4%
FV of rent = 100(1.04)^5-1/0.04
FV of rent = $541.63
Property sold for = $4000
Leveraged Cash on Cash return = Property sold value - Interest paid on loan + FV of rent
Leveraged Cash on Cash return = $4000 - $2367.58 + $541.63
Leveraged Cash on Cash return = $2174.05
Therefore leveraged Cash on Cash return on the property is $2174.05
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