HFF interview question

What is the amortizing loan constant for a 6% 30-year mortgage on a $50 million dollar loan?

Interview Answers

Anonymous

28 Jul 2016

Question does not specify, but I would assume monthly loan payments. If that is the case, monthly debt service is $299,775.26, and annual debt service is $3,597,303.15. The loan constant is equal to the annual debt service divided by the original principal balance of the loan ($50,000,000). The correct answer is 0.07195 or 7.195%. If we assume annual payments, the payment amount in the other answer is correct. To get the loan constant under this scenario, divide by $50,000,000. You should get 0.07265, or 7.265%.

4

Anonymous

16 Aug 2013

PMT = [r(PV) / 1-(1+r)^-n] PMT = payment r = interest rate PV = present value n = number of payments PMT = -$3,632,445.57 This is the constant rate for the amortized loan over 30 years.

30