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This C 3 of 6 (2 complete) IS Question: 1 pt Calculate the present value of a $1,300 discount bond with 7 years to maturity i
This Question: 1 pt 4 of 6 (2 complete) What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repay
You have just won $20,000 in the state lottery, which promises to pay you $1,000 (tax free) every year for the next twenty ye
6 of 6 (2 complete) This Question: 1 pt This How much would you pay for a perpetual bond that pays an annual coupon of $200 p
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Answer #1

PICTURE 1

PRESENT VALUE IS =1300 X .7107= 923.91

PICTURE 2

YTM = PRESENT VALUE= FUTURE VALUE /( 1+i )5= 1000 = 3000 / (1 + i)5 = (1 + i)5=3 = 1.2457-1 = 24.57%

PICTURE 3

$1000 received today is worth $1000 today

Value of second $1000 payment is worth 1000 x .9070 = 907 today

present value of 20000 earnings is 1000 x PVAF for 20 years @ 5% = 1000 x 12.4622 = 12462.20

PICTURE 4

price of perpetual bond = 200 / 10% = 2000

Current yield = coupon / price = 200 / 2000 = 10%

In one year, the price of the bond will be 200 / 12% = 1666.67 The capital loss = 1666.67 - 2000 = -333.33. The coupon payment is 200. The total return is the sum of the coupon payment and capital gain, thus the total rate of return is:

total rate of return = (-333 + 200 ) / 2000 = -6.65%

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