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Reading 5: The Time Value of Money- LOS c, (Part 2)~ Q1-5

Q1. In 10 years, what is the value of $100 invested today at an interest rate of 8% per year, compounded monthly?

A)   $216.

B)   $222.

C)   $180.

Q2. If $1,000 is invested at the beginning of the year at an annual rate of 48%, compounded quarterly, what would that investment be worth at the end of the year?

A)   $1,048.

B)   $1,574.

C)   $4,798.

Q3. Given: an 11% annual rate compounded quarterly for 2 years; compute the future value of $8,000 today.

A)   $9,939.

B)   $8,962.

C)   $9,857.

Q4. Given: $1,000 investment, compounded monthly at 12% find the future value after one year.

A)   $1,121.35.

B)   $1,120.00.

C)   $1,126.83.

Q5. What is the maximum price an investor should be willing to pay (today) for a 10 year annuity that will generate $500 per quarter (such payments to be made at the end of each quarter), given he wants to earn 12%, compounded quarterly?

A)   $6,440.

B)   $11,300.

C)   $11,557.

[此贴子已经被作者于2008-12-29 17:07:44编辑过]

答案和详解如下:

Q1. In 10 years, what is the value of $100 invested today at an interest rate of 8% per year, compounded monthly?

A)   $216.

B)   $222.

C)   $180.

Correct answer is B)

N = 10 × 12 = 120; I/Y = 8/12 = 0.666667; PV = –100; PMT = 0; CPT → FV = 221.96.

Q2. If $1,000 is invested at the beginning of the year at an annual rate of 48%, compounded quarterly, what would that investment be worth at the end of the year?

A)   $1,048.

B)   $1,574.

C)   $4,798.

Correct answer is B)

N = 1 × 4 = 4; I/Y = 48/4 = 12; PMT = 0; PV = –1,000; CPT → FV = 1,573.52.

Q3. Given: an 11% annual rate compounded quarterly for 2 years; compute the future value of $8,000 today.

A)   $9,939.

B)   $8,962.

C)   $9,857.

Correct answer is A)

Divide the interest rate by the number of compound periods and multiply the number of years by the number of compound periods. I = 11 / 4 = 2.75; N = (2)(4) = 8; PV = 8,000.

Q4. Given: $1,000 investment, compounded monthly at 12% find the future value after one year.

A)   $1,121.35.

B)   $1,120.00.

C)   $1,126.83.

Correct answer is C)

Divide the interest rate by the number of compound periods and multiply the number of years by the number of compound periods. I = 12 / 12 = 1; N = (1)(12) = 12; PV = 1,000.

Q5. What is the maximum price an investor should be willing to pay (today) for a 10 year annuity that will generate $500 per quarter (such payments to be made at the end of each quarter), given he wants to earn 12%, compounded quarterly?

A)   $6,440.

B)   $11,300.

C)   $11,557.

Correct answer is C)

Using a financial calculator: N = 10 × 4 = 40; I/Y = 12 / 4 = 3; PMT = -500; FV = 0; CPT → PV = 11,557.

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