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If the risk-free rate of interest (rf) is 3.5%, then you should be indifferent b

ID: 2383878 • Letter: I

Question

If the risk-free rate of interest (rf) is 3.5%, then you should be indifferent between receiving $1000 in one-year or

a. $1,000.00 today.

b. $966.18 today.

c. $965.00 today.

d. $1,035 today.

The effective annual rate for a certificate of deposit that pays 3.9% APR compounded monthly is closest to:

a. 3.90%

b. 3.97%

c. 3.83

d. 4.04%

If the risk-free rate of interest (rf) is 6%, then you should be indifferent between receiving $250 in one year or

a. $235.85 today.

b. $250.00 today.

c. $265.00 today.

d. None of the above

Wesley Mouch's auto loan requires monthly payments and has an effective annual rate of 6.43%. The APR on this auto loan is closest to:

a. 6.50%

b. 6.00%

c. 6.25%

d. 6.62%

Explanation / Answer

1 )correct option is "B" - $ 966.18 today

Reason - Present value of $1000 today = 1000 / (1.035 )

                                                        = $ 966.18

2)correct option is "B" - 3.97%

Reason :

EAR = [(1 + i/n)^n ] -1

       = [(1+.039/12)^12]-1

      = [(1+.00325)^12]-1

     = [(1.00325)^12]-1

     =1.03970-1

    = .0397 or 3.97%

3)correct option is "A" - $235.85 today

Reaso- 250/(1.06) = 235.85

4)APR= n*[(EAR +1)^(1/N)- 1 ]

          =12 [(.0643 + 1)^(1/12) -1]

          = 12[(1.0643)^.08333 -1 ]

         =12 [1.00521 -1]

        = 12 * .00521

       = .06252 or 6.25 %

Correct answer is "C" - 6.25%

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