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Compute the price of a 5 percent coupon bond with 20 years left to maturity and

ID: 2644520 • Letter: C

Question

Compute the price of a 5 percent coupon bond with 20 years left to maturity and a market interest rate of 6.25 percent. (Assume interest payments are semi-annual.) Which statement is correct?

The bond is a discount bond selling at $858.41

The bond is a discount bond selling at $922.34

The bond is a premium bond selling at $858.41.

The bond is a premium bond selling at $922.34.

The bond is a discount bond selling at $858.41

The bond is a discount bond selling at $922.34

The bond is a premium bond selling at $858.41.

The bond is a premium bond selling at $922.34.

Explanation / Answer

PV of all inflow:

Since, bond of $1000 is valued at $858.41, it is being traded at discount.

Year Discounting Factor Inflow PV of Inflow 1                          0.9697 25                   24.24 2                          0.9403 25                   23.51 3                          0.9118 25                   22.80 4                          0.8842 25                   22.10 5                          0.8574 25                   21.43 6                          0.8314 25                   20.79 7                          0.8062 25                   20.16 8                          0.7818 25                   19.54 9                          0.7581 25                   18.95 10                          0.7351 25                   18.38 11                          0.7128 25                   17.82 12                          0.6912 25                   17.28 13                          0.6703 25                   16.76 14                          0.6500 25                   16.25 15                          0.6303 25                   15.76 16                          0.6112 25                   15.28 17                          0.5927 25                   14.82 18                          0.5747 25                   14.37 19                          0.5573 25                   13.93 20                          0.5404 25                   13.51 21                          0.5240 25                   13.10 22                          0.5082 25                   12.70 23                          0.4928 25                   12.32 24                          0.4778 25                   11.95 25                          0.4633 25                   11.58 26                          0.4493 25                   11.23 27                          0.4357 25                   10.89 28                          0.4225 25                   10.56 29                          0.4097 25                   10.24 30                          0.3973 25                     9.93 31                          0.3852 25                     9.63 32                          0.3736 25                     9.34 33                          0.3622 25                     9.06 34                          0.3513 25                     8.78 35                          0.3406 25                     8.52 36                          0.3303 25                     8.26 37                          0.3203 25                     8.01 38                          0.3106 25                     7.76 39                          0.3012 25                     7.53 40                          0.2920 25                     7.30                          0.2920 1000                292.04                858.41
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