Three mortgaged properties have fair values of USD 35,000,000, USD 60,000,000, and USD 15,000,000, backed by mortgages of USD 27,000,000, USD 44,000,000, and USD 12,000,000. The associated portfolio loan-to-value ratio is closest to:
Explanation
First Principles Thinking: calculation rule
A is correct. Sum the mortgages and divide by the sum of property values: $83{,}000{,}000 / 110{,}000{,}000 = 0.7545$, which is closest to 0.75.
Why option B is incorrect. It is close to the first property's individual mortgage-to-value ratio rather than the portfolio ratio.
Why option C is incorrect. It is close to the third property's individual ratio, not the combined portfolio calculation.