In: Accounting
Auerbach Inc. issued 5% bonds on October 1, 2018. The bonds have a maturity date of September 30, 2028 and a face value of $2,000,000. The bonds pay interest each March 31 and September 30, starting on 3/31/19 and finishing at maturity. The effective interest rate established by the market is 6% annually at the date of issue. How much did Auerbach receive from the bond issue on 10/1/2018?
Coupon Rate per period | 2.5% | |||
Period | 20 | |||
Effective/Market rate per period | 3.0% | |||
Bond amount | $2,000,000 | |||
Period | Cashflows | Present value | Calculation | |
1 | $50,000 | $48,544 | (50000/(1+0.03)^1) | |
2 | $50,000 | $47,130 | (50000/(1+0.03)^2) | |
3 | $50,000 | $45,757 | (50000/(1+0.03)^3) | |
4 | $50,000 | $44,424 | (50000/(1+0.03)^4) | |
5 | $50,000 | $43,130 | (50000/(1+0.03)^5) | |
6 | $50,000 | $41,874 | (50000/(1+0.03)^6) | |
7 | $50,000 | $40,655 | (50000/(1+0.03)^7) | |
8 | $50,000 | $39,470 | (50000/(1+0.03)^8) | |
9 | $50,000 | $38,321 | (50000/(1+0.03)^9) | |
10 | $50,000 | $37,205 | (50000/(1+0.03)^10) | |
11 | $50,000 | $36,121 | (50000/(1+0.03)^11) | |
12 | $50,000 | $35,069 | (50000/(1+0.03)^12) | |
13 | $50,000 | $34,048 | (50000/(1+0.03)^13) | |
14 | $50,000 | $33,056 | (50000/(1+0.03)^14) | |
15 | $50,000 | $32,093 | (50000/(1+0.03)^15) | |
16 | $50,000 | $31,158 | (50000/(1+0.03)^16) | |
17 | $50,000 | $30,251 | (50000/(1+0.03)^17) | |
18 | $50,000 | $29,370 | (50000/(1+0.03)^18) | |
19 | $50,000 | $28,514 | (50000/(1+0.03)^19) | |
20 | $2,050,000 | $1,135,035 | (2050000/(1+0.03)^20) | |
$1,851,225 | ||||
Received from Bond issue | $1,851,225 |