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Need Help with these, thanks. Explanations are helpful I have answers from study

ID: 2754019 • Letter: N

Question

Need Help with these, thanks. Explanations are helpful I have answers from study guide

Kobe Durant is considering the purchase of a car, which will cost him $125,000.   He will borrow the entire purchase price and make monthly payments over the next five years. The first payment is due next month and the interest rate is 3.00%. He will owe $____ on the car immediately following the 27thpayment.

71,060.56

73,182.94

75,798.22

77,434.28

79,282.85

An investment will pay $32,000 per year forever beginning6 years from today. If the relevant rate is 10% compounded monthly, the investment is worth $______ today.

164,210.60

175,604.75

181,154.33

198,694.82

202,346.54

McDavid’s common stock has a beta of 1.40. The market risk premium, is 5% and the risk-free rate, rf, is 3%. McDavid’s expects to pay a dividend of $2.10 next year, and the dividend is expected to grow at 4% per year forever. The price of McDavid’s common stock should be $________.

31.50

35.00

38.50

42.00

42.50

American Graphics just paid a dividend of $3.00. AG’s dividends will grow at 25% for the next two years and then 30% for the next year. After that, the dividend will grow at 4% forever. Assuming a 11% cost of equity, the current stock price should be $_____.

58.15

60.02

70.02

77.84

79.65

Explanation / Answer

1. 71,060.56

  

Monthly payment = 3%/12 * 125000 * (1 + 0.0025)12*5

(1+ 0.0025)12*5 - 1

   = 312.5 * 1.162 / 1.162 - 1

   = 2241.5

balance payment after 27th payment = 125000 * (1 + 3%*12)60 - 2241.5[( 1 + 3%/12)32 - 1]

3%/12

= 125000 * (1.162) - [2241.5(1.083 - 1) / 0.0025]

= 145250 - 74417.8

= 70832.2 (Approx .71,060.56)

3. $35

required rate of retrun = risk free rate + beta * market risk premium

=0.03 + 1.4*0.05

= 0.03 * 0.07

= 10%

required rate of retrun = next dividend / current price + growth rate

0.10 = $2.10 / current price + 0.04

current price = $2.10 / (0.10 - 0.04)

= $35

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