You plan to purchase a $330,000 house using either a 30-year mortgage obtained from your local savings bank with a rate of 8.00
percent, or a 20-year mortgage with a rate of 7.00 percent. You will make a down payment of 20 percent of the purchase price. a. Calculate the amount of interest and, separately principal paid on each mortgage. What is the difference in interest pald? b. Calculate your monthly payments on the two mortgages. What is the difference in the monthly payment on the two mortgages? (For all requlrements, do not round Intermediate calculations. Round your answers to 2 declmal places. (e.g. 32.16)) Interest under 20-year mortgage Interest under 30-year mortgage Difference in interest paid b Monthly payment under 20-year mortgage 1,937.14 Monthly payment under 30-year mortgage Diflerence in monthly payment
1 answer:
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Answer:
-11.8%
Explanation:
the key to answer this question is to remember that valuation of a bond depends basically of calculating the present value of a series of cash flows, so let´s think about a bond as if you were a lender so you will get interest by the money you lend (coupon) and at the end of n years you will get back the money you lend at the beginnin (principal), so applying math we have the bond value given by:
so in this particular case that one year later there are 29 years to maturity so we have:
so as we have a higher rate the investment has the next return: