Exam 5: Interest Rates

Five years ago you took out a 30-year mortgage with an APR of 6.5% for $200,000. If you were to refinance the mortgage today for 20 years at an APR of 4.25%, how much would your monthly payment change by?

You are purchasing a new home and need to borrow $260,000 from a mortgage lender. The mortgage lender quotes you a rate of 6.80% APR for a 30-year fixed rate mortgage. The mortgage lender also tells you that if you are willing to pay two points, they can offer you a lower rate of 6.50% APR for a 30-year fixed rate mortgage. One point is equal to 1% of the loan value. So if you take the lower rate and pay the points, you will need to borrow an additional $5200 to cover points you are paying the lender. Assuming you pay the points and borrow from the mortgage lender at 6.50%, then your monthly mortgage payment (with payments made at the end of the month) will be closest to ________.

A small business repairs its store. The builders charge them $130,000 which will be paid back in monthly installments over three years at 6.80% APR. The builders will reduce this rate to 6.30% APR if they pay $2600 up front. By approximately how much will this reduce the monthly loan repayments?

The table above shows the interest rates available from investing in risk-free U.S. Treasury securities with different investment terms. If an investment offers a risk-free cash flow of $100,000 in two years' time, what is the present value (PV) of that cash flow?

A 12% APR with bimonthly compounding is equivalent to an EAR of ________.

An investor buys a property for $608,000 with a 25-year mortgage and monthly payments at 8.10% APR. After 18 months the investor resells the property for $667,525. How much cash will the investor have from the sale, once the mortgage is paid off?

You are purchasing a new home and need to borrow $325,000 from a mortgage lender. The mortgage lender quotes you a rate of 6.5% APR for a 30-year fixed rate mortgage (with payments made at the end of each month). The mortgage lender also tells you that if you are willing to pay one point, they can offer you a lower rate of 6.25% APR for a 30-year fixed rate mortgage. One point is equal to 1% of the loan value. So if you take the lower rate and pay the points, you will need to borrow an additional $3,250 to cover points you are paying the lender. Assuming that you do not intend to prepay your mortgage (pay off your mortgage early), are you better off paying the one point and borrowing at 6.25% APR or just taking out the loan at 6.5% without any points?

Which of the following yield curves would most likely predict a downturn in the economy?

Consider the following investment alternatives: Which alternative offers you the lowest effective rate of return?

How do we handle a situation when both compounding period and cash flow interval are given to us but both are less than a year and not equal to each other?

Emma runs a small factory that needs a vacuum oven for brazing small fittings. She can purchase the model she needs for $180,000 up front, or she can lease it for five years for $4,200 per month. She can borrow at 7% APR, compounded monthly. Assuming that the oven will be used for five years, should she purchase the oven or should she lease it?

Howard is saving for a holiday. He deposits a fixed amount every month in a bank account with an EAR of 14.7%. If this account pays interest every month then how much should he save from each monthly paycheck in order to have $14,000 in the account in four years' time?

A 10% APR with quarterly compounding is equivalent to an EAR of ________.

Consider the following investment alternatives: The lowest effective rate of return you could earn on any of these investments is closest to ________.

When computing a present value, which of the following is TRUE?

Use the table for the question(s) below. Suppose the term structure of interest rates is shown below: -Suppose the term structure of interest rates is shown below: Consider an investment that pays $1900 certain at the end of each of the next four years. If the investment costs $6650 and has a net present value (NPV) of $142.31, then the four year risk-free interest rate is closest to ________.

A $52,000 loan is taken out on a boat with the terms 3% APR for 36 months. How much are the monthly payments on this loan?

Your firm needs to invest in a new delivery truck. The life expectancy of the delivery truck is five years. You can purchase a new delivery truck for an upfront cost of $240,000, or you can lease a truck from the manufacturer for five years for a monthly lease payment of $4800 (paid at the end of each month). Your firm can borrow at 7.80% APR with quarterly compounding. The present value (PV) of the lease payments for the delivery truck is closest to ________.

Which of the following situations would result in lowering of interest rates by the banking authority of a country?

If the current inflation rate is 2.0%, then the nominal rate necessary for you to earn a(n) 7.3% real interest rate on your investment is closest to ________.