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Brums [2.3K]
3 years ago
12

Capstone Investments is considering a project that will produce cash inflows of $11,000 at the end of Year 1, $24,000 in Year 2,

and $36,000 in Year 3. What is the present value of these cash inflows at a discount rate of 12 percent?
a.$41,997.60

b.$46,564.28

c.$54,578.17

d.$54,868.15

e.$63,494.54
Business
1 answer:
kherson [118]3 years ago
3 0

Answer:

The correct answer is C.

Explanation:

Giving the following information:

Cash inflows:

Year 1= $11,000

Year 2= $24,000

Year 3= $36,000

To calculate the present value, we need to use the following formula:

FV= PV*(1+i)^n

Isolating PV:

PV= FV/(1+i)^n

Year 1= 11,000/(1.12)= $9,821.43

Year 2= 24,000/(1.12^2)= $19,132.65

Year 3= 36,000/(1.12^3)= $25,624.09

Total= $54,578.17

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Answer:

The yield to maturity of this bond is 6.55%

Explanation:

Yield to maturity is the rate of expected return on a bond which is held until the maturity. It is considered as a long term return and expressed in annual terms.  

According to given data

Coupon payment = C = 100,000 x 5.7% = $5,700

Face value = F = 100,000

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Use following formula yo calculate YTM

Yield to maturity = [ C + ( F-P)/n ] / [ (F+P)/2 ]

Yield to maturity = [ $5,700 + (100,000-90,000)/19 ] / [ (100,000+90,000)/2 ]

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