You want to expand your garage. A contractor, who was highly recommended, says t
ID: 1194530 • Letter: Y
Question
You want to expand your garage. A contractor, who was highly recommended, says that he will do the whole job (new roof, automatic garage door, insulation and more) for $55,000. He offers you two choices: 1) You can pay the $55,000 cash, now. OR 2) You can make $11,000 down payment now, and pay $1200 each month for four years. Questions: A. At what monthly bank interest rate would the two choices be equivalent? [2.0] B. What is the nominal annual rate? [0.5] [2.5] Total You want to expand your garage. A contractor, who was highly recommended, says that he will do the whole job (new roof, automatic garage door, insulation and more) for $55,000. He offers you two choices: 1) You can pay the $55,000 cash, now. OR 2) You can make $11,000 down payment now, and pay $1200 each month for four years. Questions: A. At what monthly bank interest rate would the two choices be equivalent? [2.0] B. What is the nominal annual rate? [0.5] [2.5] TotalExplanation / Answer
A) 55000= 11000 + 1200/(1+x) + 1200/(1+x)^2 +.... + 1200/(1+x)^48
44000= 1200/(1+x) + 1200/(1+x)^2 +.... + 1200/(1+x)^48
Solving for x we get, x= 1.157
Hence, the monthly interest rate = 1.157 %
B.Nominal annual rate = 1.157*12%
= 13.88%
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