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- Suppose you start saving for retirement when you are 45 years old. You invest $5,000 the first year and increase this amount by 3% each year to match inflation for a total of 20 years. The interest rate is 10% per year. How much money will you have saved when you are 65 years old?A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 4% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 15% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? ARCKICHI a. What is today's value of the bequest? Today's value of the bequest is $(Round to the nearest dollar. b. What is the value of the bequest immediately after the first payment is made? The value of the bequest immediately after the first payment is made is $ (Round to the nearest dollar.)The interest rate charged on a small loan is 1.5% per month. What are the corresponding 'nominal' and 'effective' rates per annum?
- Suppose you inherited $6,000 from your father's brother. You would like to take a trip to Australia and estimated the cost of that to be $13,000. If you could invest the money at a 6.9% rate of return, how long would you have to wait to go to Australia?A company is considering a new manufacturing process. It knows that the rate of savings (in dollars per year) from the process will be about S(t)-3000(1+4) where t is the number of years the process has been in use. Find the total savings during the first year Find the total savings during the first 7 years The total savings during the first year is (Simplify your answer.)You work for a bank that has just made two loans. In one, you lent $900 today in return for $1200 in one year. In the other, you lent $900 today in return for $10000 in 20 years. The difference between the loan amount and repayment amount is based on an interest rate of 8% per year. Imagine that immediately after you make the loans, news about economic growth is announced that increases inflation expectations, so that the market interest rate for loans like these jumps to 10%. Loans make up a major part of a bank’s assets, so you are naturally concerned about the value of these loans. What is the effect of the interest rate change on the value to the bank of the promised repayment of these loans?
- Mary paid back a total of $3500 on an original loan of $900 that charged a simple interest of 8%. How many years was the loan taken out? Round to two decimal placesHow much money should be deposited each year for 7 years starting 1 year from today, if you wish to withdraw 800 each year for 9 years, beginning at the end of 16 years? Let i=12% per year. Round your answer to 2 decimal places.At an interest rate of 12%, what is the present value of an asset that produces $800 a year in perpetuity?
- Suppose you start saving for retirement when you are 45 years old. You invest $5,200 the first year and increase this amount by 2% each year to match inflation for a total of 15 years. The interest rate is 7% per year. How much money will you have saved when you are 60 years old? Click the icon to view the interest and annuity table for discrete compounding when i = 2% per year. Click the icon to view the interest and annuity table for discrete compounding when i = 7% per year. When you are 60 years old, you will have saved $. (Round to the nearest dollar.)Before last year, Ellie (Luke's wife) taught music and earned $30,400. She also earned $9,600 by renting out their basement as a studio apartment. Ellie saves every month. At the end of a typical year she would have saved a total of 10% from her wages and the income earned from the basement for the entire year, and earned a total of 0.5% in interest (for the entire year). At the beginning of last year, Ellie stopped teaching music. She also stopped renting out their basement, and began to use it as the office for her new web design business. The balance on her savings account was $150,000, and she took $5,000 from this account to buy a new laptop computer and a new printer (which also functions as a scanner and a facsimile). She also borrowed $12,000 from the local bank to purchase additional machinery and equipment (a graphics tablet, desktop computer, studio camera and an external hard drive). Her loan payment is $250 per month. During last year, she paid $3,000 for the lease of a…The value of land in Manhattan was around $150 billion in 2008. Imagine that it is 1626 and you are the economic advisor to the Dutch when they are considering whether to buy Manhattan from the Manhasset Indians. Further,assume that the relevant interest rate for calculating the present value is 4%per year. Would you advice the Dutch that a purchase price of $24 is a good deal or not? How would your answer change if the interest rate were 6%? And 8%? (Hint: for each interest rate,calculate the present value in 1626 of the land value as of 2008. Then compare that with the purchase price in 1626. For example, simplify by assuming that the owners collect no rents on the land. As an advanced further question,assume that the rent equals 2% of the value of the land each year.)