Analyzing Hidden Interest in a Real Estate Deal: Present Value
Many advertisements contain offers that seem too good to be true. A few years ago, an actual newspaper ad offered “a $150,000 house with a zero interest rate mortgage” for sale. If the purchaser made monthly payments of $3,125 for four years ($150,000 ÷ 48 months), no interest would be charged. When the offer was made, mortgage interest rates were 12 percent. Present value for n = 48, and i = 1% is 37.9740.
Required:
1. Did the builder actually provide a mortgage at zero interest?
2. Estimate the true price of the home that was advertised. Assume that the monthly payment was based on an implicit interest rate of 12 percent.
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