In: Finance
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.)
FINANCIAL CALCULATOR CALCULATIONS ONLY
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%