Cxcrcise 14-11 Your ancwer ie partially correct. Try again Carla Tnc. has issed
ID: 2567454 • Letter: C
Question
Cxcrcise 14-11 Your ancwer ie partially correct. Try again Carla Tnc. has issed three tynes ot deht nn lanuary 1, 2017, the start ot the company's tscal year. (a) $12 million, 9-year, 13% unsecured bonds, interest payable quarterly. Bonds were priced to yield 10%. (b) 25 million p r ofycar, zcro coupon bonds t pricc to yicld 1090 pcr ycar (c) 10 million , 9-year, 9% mortgage bonds, interest payable annually to yield 10%. Prepare a schedule that identifies the following iteme for each bond: (1) maturity value, (2) number of interect periods over life of bond, (3) etated rate per each interest period, (1) effective-interect rate per each interest period, (5) payment am period, and (6) present value of bonds at date of issue. (Round stated and effective rate per period to 2 decmal places, e.g. 10.25o. Round present value factor calculations to 5 decimal places, e.g. 1.25124 and the final answ decimal places c.g. 58,971.) Unsecured Bonds Zero-Coupon Bonds Mortqaqe Bonds (I) Maturity value (2) Number of interest periods (3) Stated rate per period (4) Effective rate per period 120 18uuUUUO R6 (5) Payment·mount pcr pcriod 1G20000 () Present value 102369990.19 11 1267R8.n3 LINK TO TEXTExplanation / Answer
1-
Maturity value
12000000
interest period
36
stated rate per period
3.25
effective rate per period
2.50%
Payment amount per period =12000000*3.25%
390000
present value
390000*23.55625 +12000000*.411094
14120066
PVAF aat 2.5% for 36 period
1-(1+r)^-n /r
1-(1.025)^-36 /.025
23.55625
PVF at 2.5% for 36th period
1/(1+r)^n
1/1.025^36
0.411094
2-
Maturity value
25000000
interest period
0
stated rate per period
0
effective rate per period
10%
Payment amount per period =12000000*3.25%
0
present value
25000000/1.10^9
10602440
value of zero oupon bond
face value/(1+r)^n
25000000/1.10^9
1-
Maturity value
18000000
3-
interest period
9
stated rate per period
9
effective rate per period
10.00%
Payment amount per period =12000000*3.25%
1620000
present value
1620000*5.759024 +12000000*.424098
14418795
PVAF aat 10 % for 9period
1-(1+r)^-n /r
1-(1.1)^-9/.1
5.759024
PVF at 10% for 9 th period
1/(1+r)^n
1/1.1^9
0.424098
1-
Maturity value
12000000
interest period
36
stated rate per period
3.25
effective rate per period
2.50%
Payment amount per period =12000000*3.25%
390000
present value
390000*23.55625 +12000000*.411094
14120066
PVAF aat 2.5% for 36 period
1-(1+r)^-n /r
1-(1.025)^-36 /.025
23.55625
PVF at 2.5% for 36th period
1/(1+r)^n
1/1.025^36
0.411094
2-
Maturity value
25000000
interest period
0
stated rate per period
0
effective rate per period
10%
Payment amount per period =12000000*3.25%
0
present value
25000000/1.10^9
10602440
value of zero oupon bond
face value/(1+r)^n
25000000/1.10^9
1-
Maturity value
18000000
3-
interest period
9
stated rate per period
9
effective rate per period
10.00%
Payment amount per period =12000000*3.25%
1620000
present value
1620000*5.759024 +12000000*.424098
14418795
PVAF aat 10 % for 9period
1-(1+r)^-n /r
1-(1.1)^-9/.1
5.759024
PVF at 10% for 9 th period
1/(1+r)^n
1/1.1^9
0.424098
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