Question

One type of systematic error arises because people tend to think of benefits in percentage terms rather than in absolute dollar amounts. As an example, Samir is willing to drive 20 minutes out of his way to save $4 on a grocery item that costs $10 at a local market. But he is unwilling to drive 20 minutes out of his way to save $10 on a laptop that costs $400 at a local store.Instructions: Round your answers to 1 decimal place.a. In percentage terms, how big is the savings on the grocery item? percent. On the laptop? percent.b. In absolute terms, how big is the savings on the grocery item? Instructions: Enter your answers as whole numbers.$. _______On the laptop? $._________c. If Samir is willing to sacrifice 20 minutes of his time to save $4 in one case, shouldn’t he also be willing to sacrifice 20 minutes of his time to save $10?___________________________________________________________________________________________Ted has always had difficulty saving money, so on June 1, Ted enrolls in a Christmas savings program at his local bank and deposits $750. That money is totally locked away until December 1 so that Ted can be certain that he will still have it once the holiday shopping season begins. Suppose that the annual rate of interest is 10 percent on ordinary savings accounts (that allow depositors to withdraw their money at any time). How much interest is Ted giving up by precommitting his money into the Christmas savings account for six months instead of depositing it into an ordinary savings account?[Hint: If you invest X dollars at an annual interest rate of Y percent, you will receive interest equal to X × Y, where the interest rate Y is expressed as a decimal.]$.______________________________________________________________________________________________________Angela owes $500 on a credit card and $2,000 on a student loan. The credit card has a 15 percent annual interest rate and the student loan has a 7 percent annual interest rate. Her sense of loss aversion makes her more anxious about the larger loan. As a result, she plans to pay it off first—despite the fact that professional financial advisors always tell people to pay off their highest-interest-rate loans first. Suppose Angela has only $500 at the present time to help pay down her loans and that this $500 will be the only money she will have for making debt payments for at least the next year.Instructions: Enter your answers as whole numbers.a. If she uses the $500 to pay off the credit card, how much interest will accrue on the other loan over the coming year? $. ____________b. On the other hand, if she uses the $500 to pay off part of the student loan, how much in combined interest will she owe over the next year on the remaining balances on the two loans? $._____________c. By how many dollars will she be better off if she uses the $500 to completely pay off the credit card rather than partly paying down the student loan?[Hint: If you owe X dollars at an annual interest rate of Y percent, your annual interest payment will be X × Y, where the interest rate Y is expressed as a decimal.] $.______________________

Answer 1

Answer:

She is better off by $40,

Please kindly go through the explanation section for rest of the answers.

Explanation:

From the Question,

Grocery saving = 40%

Laptop saving = 2.5%

Absolute saving in grocery = $4

Absolute saving in Laptop =$10

Yes he should sacrifice 20 mins to save $10 since he does the same for less savings

Second case:

Since Ted is depositing money for only 6 months at 10% interest rate, he is giving up half his annual interest of (0.1*750)/2 = $37.5

Third case:

Interest accrued on student loan = 0.07*2000 = $140

Interest on credit card = $75 + (0.07*1500) = $180

She is better off by $40.