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A Japanese company has a bond outstanding that sells for 93 percent of its ¥100,000 par...

A Japanese company has a bond outstanding that sells for 93 percent of its ¥100,000 par value. The bond has a coupon rate of 6 percent paid annually and matures in 16 years. What is the yield to maturity of this bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

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Expert Solution

YTM of Bond is the rate at which PV of Cash Inflows are equal to Bond Price.

Year CF PVF @6% Disc CF PVF @7% Disc CF
0 ¥ -93,000.00     1.0000 ¥-93,000.00     1.0000 ¥-93,000.00
1 ¥      6,000.00     0.9434 ¥    5,660.38     0.9346 ¥    5,607.48
2 ¥      6,000.00     0.8900 ¥    5,339.98     0.8734 ¥    5,240.63
3 ¥      6,000.00     0.8396 ¥    5,037.72     0.8163 ¥    4,897.79
4 ¥      6,000.00     0.7921 ¥    4,752.56     0.7629 ¥    4,577.37
5 ¥      6,000.00     0.7473 ¥    4,483.55     0.7130 ¥    4,277.92
6 ¥      6,000.00     0.7050 ¥    4,229.76     0.6663 ¥    3,998.05
7 ¥      6,000.00     0.6651 ¥    3,990.34     0.6227 ¥    3,736.50
8 ¥      6,000.00     0.6274 ¥    3,764.47     0.5820 ¥    3,492.05
9 ¥      6,000.00     0.5919 ¥    3,551.39     0.5439 ¥    3,263.60
10 ¥      6,000.00     0.5584 ¥    3,350.37     0.5083 ¥    3,050.10
11 ¥      6,000.00     0.5268 ¥    3,160.73     0.4751 ¥    2,850.56
12 ¥      6,000.00     0.4970 ¥    2,981.82     0.4440 ¥    2,664.07
13 ¥      6,000.00     0.4688 ¥    2,813.03     0.4150 ¥    2,489.79
14 ¥      6,000.00     0.4423 ¥    2,653.81     0.3878 ¥    2,326.90
15 ¥      6,000.00     0.4173 ¥    2,503.59     0.3624 ¥    2,174.68
16 ¥      6,000.00     0.3936 ¥    2,361.88     0.3387 ¥    2,032.41
16 ¥1,00,000.00     0.3936 ¥ 39,364.63     0.3387 ¥ 33,873.46
NPV ¥    7,000.00 ¥ -2,446.65

YTM = rate at which least +ve NPV + { NPV at that rate / Chnage in NPV due to 1% inc in Disc Rate ] * 1%

= 6% + [ 7000 / 9446.65 ] * 1%

= 6% + 0.74%

= 6.74%


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