How would the price of the bond be affected by changing the going market interest rate? (Hint: Conduct a sensitivity analysis of price to changes in the going market interest rate for the bond. Assume that the bond will be called if and only if the going rate of interest falls below the coupon rate. That is an oversimplification, but assume it anyway for purposes of this problem.)

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter17: Capital And Time
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Problem 17.6P
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How would the price of the bond be affected by changing the going market interest rate? (Hint: Conduct a sensitivity analysis of price to changes in the going market interest rate for the bond. Assume that the bond will be called if and only if the going rate of interest falls below the coupon rate. That is an oversimplification, but assume it anyway for purposes of this problem.)

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E
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H
52
53 NOW ANSWER THE FOLLOWING NEW QUESTIONS:
54
55 e. How would the price of the bond be affected by changing the going market interest rate? (Hint: Conduct a
56 sensitivity analysis of price to changes in the going market interest rate for the bond. Assume that the bond will be
57 called if and only if the going rate of interest falls below the coupon rate. That is an oversimplification, but assume it
58 anyway for purposes of this problem.)
59
60 Nominal market rate, r:
8%
61 Value of bond if it's not called:
62 Value of bond if it's called:
The bond would not be called unless r<coupon.
63
64 We can use the two valuation formulas to find values under different r's, in a 2-output data table, and then use an IF
65 statement to determine which value is appropriate:
66
67
Value of Bond If:
Actual value,
68
Not called
Called
considering
call likehood:
69
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
Rate, r
70
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
0%
71
2%
72
4%
$0,00
73
6%
$0,00
$0,00
$0,00
$0,00
$0,00
$0,00
74
8%
75
10%
76
12%
77
14%
78
16%
79
80
Transcribed Image Text:A В E F G H 52 53 NOW ANSWER THE FOLLOWING NEW QUESTIONS: 54 55 e. How would the price of the bond be affected by changing the going market interest rate? (Hint: Conduct a 56 sensitivity analysis of price to changes in the going market interest rate for the bond. Assume that the bond will be 57 called if and only if the going rate of interest falls below the coupon rate. That is an oversimplification, but assume it 58 anyway for purposes of this problem.) 59 60 Nominal market rate, r: 8% 61 Value of bond if it's not called: 62 Value of bond if it's called: The bond would not be called unless r<coupon. 63 64 We can use the two valuation formulas to find values under different r's, in a 2-output data table, and then use an IF 65 statement to determine which value is appropriate: 66 67 Value of Bond If: Actual value, 68 Not called Called considering call likehood: 69 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 Rate, r 70 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 0% 71 2% 72 4% $0,00 73 6% $0,00 $0,00 $0,00 $0,00 $0,00 $0,00 74 8% 75 10% 76 12% 77 14% 78 16% 79 80
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