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Solo Corp. has a bond with value interest payment of $270 maturing in 12 years at...

Solo Corp. has a bond with value interest payment of $270 maturing in 12 years at a value of $1,000 per bond. The current market price is $910. what will the nominal yield be?

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Expert Solution

YTM :
YTM is the rate at which PV of Cash inflows are equal to Bond price when the bond is held till maturity.

YTM = Rate at which least +ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in disc rate ] * 1%

Year CF PVF @29% Disc CF PVF @30% Disc CF
0 $ -910.00     1.0000 $ -910.00     1.0000 $ -910.00
1 $    270.00     0.7752 $ 209.30     0.7692 $ 207.69
2 $    270.00     0.6009 $ 162.25     0.5917 $ 159.76
3 $    270.00     0.4658 $ 125.78     0.4552 $ 122.89
4 $    270.00     0.3611 $    97.50     0.3501 $    94.53
5 $    270.00     0.2799 $    75.58     0.2693 $    72.72
6 $    270.00     0.2170 $    58.59     0.2072 $    55.94
7 $    270.00     0.1682 $    45.42     0.1594 $    43.03
8 $    270.00     0.1304 $    35.21     0.1226 $    33.10
9 $    270.00     0.1011 $    27.29     0.0943 $    25.46
10 $    270.00     0.0784 $    21.16     0.0725 $    19.59
11 $    270.00     0.0607 $    16.40     0.0558 $    15.07
12 $    270.00     0.0471 $    12.71     0.0429 $    11.59
12 $ 1,000.00     0.0471 $    47.09     0.0429 $    42.92
NPV $    24.28 $     -5.71

YTM = Rate at which least +ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in disc rate ] * 1%

= 29% + [ 24.28 / 29.99 ]

= 29% + [ 0.81 * 1% ]

= 29.81%

Nominal yield is 29.81%

Pls do rate, if the answer is correct and comment, if any further assistance is required.


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