Computing bond price and recording issuance Hartford Researc

Computing bond price and recording issuance

Hartford Research issues bonds dated January 1, 2017, that pay interest semiannually on June 30 and December 31. The bonds have a $25,000 par value and an annual contract rate of 10%, and they mature in 10 years.

table b.1

table b.2

table b.3

table b.4

Consider each of the following three separate situations.

1. The market rate at the date of issuance is 8%.
(a) Complete the below table to determine the bonds\' issue price on January 1, 2017.
(b) Prepare the journal entry to record their issuance.
2. The market rate at the date of issuance is 10%.
(a) Complete the below table to determine the bonds\' issue price on January 1, 2017.
(b) Prepare the journal entry to record their issuance.
3. The market rate at the date of issuance is 12%.
(a) Complete the below table to determine the bonds\' issue price on January 1, 2017.
(b) Prepare the journal entry to record their issuance.

TABLE B.1 Present Value of 1 Rate Perlods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.8929 0.8696 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.7972 0.7561 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 08163 ?.793 0.7722 7513 7118 06575 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.5718 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.4972 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.4323 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.3759 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.3269 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 0.2843 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 0.2472 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.2875 0.2149 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2567 0.1869 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2292 0.1625 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2046 0.1413 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.1827 0.1229 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1631 0.1069 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1456 0.0929 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1300 0.0808 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1161 0.0703 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1037 0.0611 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.1160 0.0923 0.0588 0.0304 0.7419 0.5521 0.4120 0.3083 0.2314 0.174 0.1314 0.0994 0.0754 0.0573 0.0334 0.0151 0.7059 0.5000 0.3554 0.2534 0.1813 0.1301 0.0937 0.0676 0.0490 0.0356 0.0189 0.0075 0.6717 0.4529 0.3066 0.2083 0.1420 0.0972 0.0668 0.0460 0.0318 0.0221 0.0107 0.0037 9 10 12 13 14 15 16 18 19 20 25 30 35 40 * Used to compute the present value of a known future amount. For example: How much would you need to invest today at 10% compounded semiannually to accumulate $5,000 in 6 years from today? Using the factors of n = 12 and i= 5% (12 semiannual periods and a semiannual rate of 5%), the factor is 0.5568. You would need to invest S2,784 today ($5,000 × 0.5568).

Solution

a Table values are based on: n = 20 I = 4% Cash flow Table value Amount Present value Par(maturity value) 0.4564 25000 11410 Interest annuity 13.5903 1250 16988 Price of Bonds 28398 Jan-1-17 Cash 28398       Bonds payable 25000       Premium on Bonds payable 3398 b Table values are based on: n = 20 I = 5% Cash flow Table value Amount Present value Par(maturity value) 0.3769 25000 9423 Interest annuity 12.4622 1250 15578 Price of Bonds 25000 Jan-1-17 Cash 25000       Bonds payable 25000 c Table values are based on: n = 20 I = 6% Cash flow Table value Amount Present value Par(maturity value) 0.3118 25000 7795 Interest annuity 11.4699 1250 14337 Price of Bonds 22132 Jan-1-17 Cash 22132 Discount on Bonds payable 2868       Bonds payable 25000