Question

In: Finance

You need a 22-year, fixed rate mortgage to buy a new home for $290,000. Your mortgage...

You need a 22-year, fixed rate mortgage to buy a new home for $290,000. Your mortgage bank will lend you the money at an annual interest rate of 6.5% APR and annual compounding. What is your annual payment?

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Expert Solution

Present value = Annuity * [1 - 1 / (1 + rate)^time] / rate

290,000 = Annuity * [1 - 1 / (1 + 0.065)^22] / 0.065

290,000 = Annuity * [1 - 0.25021] / 0.065

290,000 = Annuity * 11.5352

Annuity = $25,140.45

Annual payment will be $25,140.45


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