Snickett Corp Present Value of a $1 at Compound Interest

Essay

Snickett Corp. issued $5,000,000, five-year bonds on the first day of its fiscal year. The bonds have a stated rate of 11% and an effective (market) rate of 9%. Interest payments are made semiannually. Compute the following:

(a) The amount of cash proceeds from the sale of the bonds. Use the present value table and round to the nearest dollar.
(b) The amount of premium to be amortized for the first semiannual interest payment period, using the interest method. Round to the nearest dollar.
(c) The amount of premium to be amortized for the second semiannual interest payment period, using the interest method. Round to the nearest dollar.
(d) The amount of the bond interest expense for the first year.

Present value of an annuity of $1 at compound interest:
$\begin{array}{ccccccc}\text { Periods}&\mathbf{4 . 0 \%} & \mathbf{4 . 5 \%} & \mathbf{5 . 0 \%} & \mathbf{5 . 5 \%} & \mathbf{6 . 0 \%} & \mathbf{6 . 5 \%} & \mathbf{7 . 0 \%}&10.\%&11.0\%&12.0\%&13.0\% \\&0.961 & 0.956 & 0.952 & 0.947 & 0.943 & 0.938 & 0.934 & 0.909 & 0.900 & 0.892 & 0.884 \\1&54 & 94 & 38 & 87 & 40 & 97 & 58 & 09 & 90 & 86 & 96\\&1.886 & 1.872 & 1.859 & 1.846 & 1.833 & 1.820 & 1.808 & 1.735 & 1.712 & 1.690 & 1.668 \\2&09 & 67 & 41 & 32 & 39 & 63 & 02 & 54 & 52 & 05 & 10\\&2.775 & 2.748 & 2.723 & 2.697 & 2.673 & 2.648 & 2.624 & 2.486 & 2.443 & 2.401 & 2.361 \\3&09 & 96 & 25 & 93 & 01 & 48 & 32 & 85 & 71 & 83 & 15\\&3.629 & 3.587 & 3.545 & 3.505 & 3.465 & 3.425 & 3.387 & 3.169 & 3.102 & 3.037 & 2.974 \\4&90 & 53 & 95 & 15 & 11 & 80 & 21 & 87 & 45 & 35 & 47\\&4.451 & 4.389 & 4.329 & 4.270 & 4.212 & 4.155 & 4.100 & 3.790 & 3.695 & 3.604 & 3.517 \\5&82 & 98 & 48 & 28 & 36 & 68 & 20 & 79 & 90 & 78 & 23\\&5.242 & 5.157 & 5.075 & 4.995 & 4.917 & 4.841 & 4.766 & 4.355 & 4.230 & 4.111 & 3.997 \\6&14 & 87 & 69 & 53 & 32 & 01 & 54 & 26 & 54 & 41 & 55\\&6.002 & 5.892 & 5.786 & 5.682 & 5.582 & 5.484 & 5.389 & 4.868 & 4.712 & 4.563 & 4.422 \\7&05 & 70 & 37 & 97 & 38 & 52 & 29 & 42 & 20 & 76 & 61\\&6.732 & 6.595 & 6.463 & 6.334 & 6.209 & 6.088 & 5.971 & 5.334 & 5.146 & 4.967 & 4.798 \\8&74 & 89 & 21 & 57 & 79 & 75 & 30 & 93 & 12 & 64 & 77\\&7.435 & 7.268 & 7.107 & 6.952 & 6.801 & 6.656 & 6.515 & 5.759 & 5.537 & 5.328 & 5.131 \\9&33 & 79 & 82 & 20 & 69 & 10 & 23 & 02 & 05 & 25 & 66\\&8.110 & 7.912 & 7.721 & 7.537 & 7.360 & 7.188 & 7.023 & 6.144 & 5.889 & 5.650 & 5.426 \\10&90 & 72 & 73 & 63 & 09 & 83 & 58 & 57 & 23 & 22 & 24\end{array}$
Present value of a $1 at compound interest:
$\begin{array}{ccccccc}\text { Periods}&\mathbf{4 . 0 \%} & \mathbf{4 . 5 \%} & \mathbf{5 . 0 \%} & \mathbf{5 . 5 \%} & \mathbf{6 . 0 \%} & \mathbf{6 . 5 \%} & \mathbf{7 . 0 \%}&10.\%&11.0\%&12.0\%&13.0\% \\& 0.961 & 0.956 & 0.952 & 0.947 & 0.943 & 0.938 & 0.934 & 0.909 & 0.900 & 0.892 & 0.884 \\1 & 54 & 94 & 38 & 87 & 40 & 97 & 58 & 09 & 90 & 86 & 96\\& 0.924 & 0.915 & 0.907 & 0.898 & 0.890 & 0.881 & 0.873 & 0.826 & 0.811 & 0.797 & 0.783 \\2 & 56 & 73 & 03 & 45 & 00 & 66 & 44 & 45 & 62 & 19 & 15\\& 0.889 & 0.876 & 0.863 & 0.851 & 0.839 & 0.827 & 0.816 & 0.751 & 0.731 & 0.711 & 0.693 \\3 & 00 & 30 & 84 & 61 & 62 & 85 & 30 & 31 & 19 & 78 & 05\\& 0.854 & 0.838 & 0.822 & 0.807 & 0.792 & 0.777 & 0.762 & 0.683 & 0.658 & 0.635 & 0.613 \\4 & 80 & 56 & 70 & 22 & 09 & 32 & 90 & 01 & 73 & 52 & 32\\& 0.821 & 0.802 & 0.783 & 0.765 & 0.747 & 0.729 & 0.712 & 0.620 & 0.593 & 0.567 & 0.542 \\5 & 93 & 45 & 53 & 13 & 26 & 88 & 99 & 92 & 45 & 43 & 76\\& 0.790 & 0.767 & 0.746 & 0.725 & 0.704 & 0.685 & 0.666 & 0.564 & 0.534 & 0.506 & 0.480 \\6 & 31 & 90 & 22 & 25 & 96 & 33 & 34 & 47 & 64 & 63 & 32\\& 0.759 & 0.734 & 0.710 & 0.687 & 0.665 & 0.643 & 0.622 & 0.513 & 0.481 & 0.452 & 0.425 \\7 & 92 & 83 & 68 & 44 & 06 & 51 & 75 & 16 & 66 & 35 & 06\\& 0.730 & 0.703 & 0.676 & 0.651 & 0.627 & 0.604 & 0.582 & 0.466 & 0.433 & 0.403 & 0.376 \\8 & 69 & 19 & 84 & 60 & 41 & 23 & 01 & 51 & 93 & 88 & 16\\& 0.702 & 0.672 & 0.644 & 0.617 & 0.591 & 0.567 & 0.543 & 0.424 & 0.390 & 0.360 & 0.332 \\9 & 59 & 90 & 61 & 63 & 90 & 35 & 93 & 10 & 92 & 61 & 88\\& 0.675 & 0.643 & 0.613 & 0.585 & 0.558 & 0.532 & 0.508 & 0.385 & 0.352 & 0.321 & 0.294 \\10 & 56 & 93 & 91 & 43 & 39 & 73 & 35 & 54 & 18 & 97 & 59\end{array}$