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- Suppose your bank account will be worth $4,200.00 in one year. The interest rate (discount rate) that the bank pays is 5%. What is the present value of your bank account today?If bank offers you to double your money in 12 years, what is the interest rate that it gives?Suppose a bank offers you an 8% interest rate on a 30-year mortgage to be paid back with monthly payments. Suppose the most you can afford to pay in monthly payments is $1800. How much of a mortgage could you afford? Show your work.
- A friend asks to borrow $51 from you and in return will pay you $54 in one year. If your bank is offering a 6.3% interest rate on deposits and loans: How much would you have in one year if you deposited the $51 instead? How much money could you borrow today if you pay the bank $54 in one year?You borrow $6000 from a loan shark named Johnny Hammerhead. If you will owe $7200 in 18 months, what would be the simple interest rate? Note: Keep your answer as a decimal.Explain the nature of the potential lending losses associated with each of the following: default risk, liquidity risk, and maturity risk. What would you pay for an annuity paying $3,000 per year for 12 years if the interest rate is 10%?
- Suppose that you want to take out a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the loan is 1%, determine the nominal interest rate that the bank will charge you. What was the actual real interest rate on the loan if, over the life of the loan, actual inflation is 0.5%?Suppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?You want to take out a mortgage on a house worth $50,000 and pay it back in 10 years. Since your credit is very poor, the bank charges you simple interest at the rate of 2% per month. a. How much will you owe after 1 year? b. How much is the interest?
- A friend asks to borrow $45 from you and in return will pay you $48 in one year. If your bank is offering a 5.7% interest rate on deposits and loans: a. How much would you have in one year if you deposited the $45 instead? b. How much money could you borrow today if you pay the bank $48 in one year? c. Should you loan the money to your friend or deposit it in the bank? a. How much would you have in one year if you deposited the $45 instead? If you deposit the money in the bank today you will have in one year. (Round to the nearest cent.) b. How much money could you borrow today if you pay the bank $48 in one year? You will be able to borrow $ today. (Round to the nearest cent.) c. Should you loan the money to your friend or deposit it in the bank? (Select from the drop-down menu.) From a financial perspective, you should as it will result in more money for you at the end of the year.Assume you just deposited $1,000 into a bank account. The current real interest rate is 2% and inflation is expected to be 6% over the next year. What nominal interest rate would you require from the bank over the next year? How much money will you have at the end of one year? If you are saving to buy a stereo that currently sells for $1,050, will you have enough to buy it?Suppose you take out a car loan that requires you to pay $7,000 now, $4,000 at the end of year 1, and $6,000 at the end of year 2. The interest rate is 5% now and increases to 10% in the next year. What is the present value of the payments? Enter your response below rounded to 2 decimal places. Number