Question

In: Accounting

Spartak Moscow Sdn Bhd owns a bond that pays RM400 in annual interest with a RM2000...

Spartak Moscow Sdn Bhd owns a bond that pays RM400 in annual interest with a RM2000 par
value. It matures in 20 years. The company requires rate of return is 14 percent.
(a) Calculate the value of the bond.

(b) How does the value change of your required rate of return increases to 19 percent or
decrease to 10 percent?

(c) Explain the implications of your answers in part (b) of question 4 as they relate to interest
rate risk, premium bonds, and discount bonds.

(d) Assume the bond matures in 15 years instead of 20 years. Re-compute your answer in part
(b) of question 4.

Solutions

Expert Solution

a)Statement showing Price or Intrinsic Value                 ( since there is annual payment so coupon payment is 400, yield is 14% and number of years= 20)
Particulars Time PVf @14% Amount PV
Cash Flows (Interest)                          1.00             0.8772       400.00               350.88
Cash Flows (Interest)                          2.00             0.7695       400.00               307.79
Cash Flows (Interest)                          3.00             0.6750       400.00               269.99
Cash Flows (Interest)                          4.00             0.5921       400.00               236.83
Cash Flows (Interest)                          5.00             0.5194       400.00               207.75
Cash Flows (Interest)                          6.00             0.4556       400.00               182.23
Cash Flows (Interest)                          7.00             0.3996       400.00               159.85
Cash Flows (Interest)                          8.00             0.3506       400.00               140.22
Cash Flows (Interest)                          9.00             0.3075       400.00               123.00
Cash Flows (Interest)                        10.00             0.2697       400.00               107.90
Cash Flows (Interest)                        11.00             0.2366       400.00                 94.65
Cash Flows (Interest)                        12.00             0.2076       400.00                 83.02
Cash Flows (Interest)                        13.00             0.1821       400.00                 72.83
Cash Flows (Interest)                        14.00             0.1597       400.00                 63.88
Cash Flows (Interest)                        15.00             0.1401       400.00                 56.04
Cash Flows (Interest)                        16.00             0.1229       400.00                 49.16
Cash Flows (Interest)                        17.00             0.1078       400.00                 43.12
Cash Flows (Interest)                        18.00             0.0946       400.00                 37.82
Cash Flows (Interest)                        19.00             0.0829       400.00                 33.18
Cash Flows (Interest)                        20.00             0.0728       400.00                 29.10
Cash flows (Maturity Amount)                        20.00             0.0728    2,000.00               145.60
Intrinsic Value of Bond or Current Bond Price           2,794.85
Value of bond is RM2794.85
b)Statement showing Price or Intrinsic Value                 ( since there is annual payment so coupon payment is 400, yield is 19% and number of years= 20)
Particulars Time PVf @19% Amount PV
Cash Flows (Interest)                          1.00             0.8403       400.00               336.13
Cash Flows (Interest)                          2.00             0.7062       400.00               282.47
Cash Flows (Interest)                          3.00             0.5934       400.00               237.37
Cash Flows (Interest)                          4.00             0.4987       400.00               199.47
Cash Flows (Interest)                          5.00             0.4190       400.00               167.62
Cash Flows (Interest)                          6.00             0.3521       400.00               140.86
Cash Flows (Interest)                          7.00             0.2959       400.00               118.37
Cash Flows (Interest)                          8.00             0.2487       400.00                 99.47
Cash Flows (Interest)                          9.00             0.2090       400.00                 83.59
Cash Flows (Interest)                        10.00             0.1756       400.00                 70.24
Cash Flows (Interest)                        11.00             0.1476       400.00                 59.03
Cash Flows (Interest)                        12.00             0.1240       400.00                 49.60
Cash Flows (Interest)                        13.00             0.1042       400.00                 41.68
Cash Flows (Interest)                        14.00             0.0876       400.00                 35.03
Cash Flows (Interest)                        15.00             0.0736       400.00                 29.43
Cash Flows (Interest)                        16.00             0.0618       400.00                 24.73
Cash Flows (Interest)                        17.00             0.0520       400.00                 20.79
Cash Flows (Interest)                        18.00             0.0437       400.00                 17.47
Cash Flows (Interest)                        19.00             0.0367       400.00                 14.68
Cash Flows (Interest)                        20.00             0.0308       400.00                 12.33
Cash flows (Maturity Amount)                        20.00             0.0308    2,000.00                 61.60
Intrinsic Value of Bond or Current Bond Price           2,101.94
Value of bond is RM2101.94
Statement showing Price or Intrinsic Value                 ( since there is annual payment so coupon payment is 400, yield is 10% and number of years= 20)
Particulars Time PVf @10% Amount PV
Cash Flows (Interest)                          1.00             0.9091       400.00               363.64
Cash Flows (Interest)                          2.00             0.8264       400.00               330.58
Cash Flows (Interest)                          3.00             0.7513       400.00               300.53
Cash Flows (Interest)                          4.00             0.6830       400.00               273.21
Cash Flows (Interest)                          5.00             0.6209       400.00               248.37
Cash Flows (Interest)                          6.00             0.5645       400.00               225.79
Cash Flows (Interest)                          7.00             0.5132       400.00               205.26
Cash Flows (Interest)                          8.00             0.4665       400.00               186.60
Cash Flows (Interest)                          9.00             0.4241       400.00               169.64
Cash Flows (Interest)                        10.00             0.3855       400.00               154.22
Cash Flows (Interest)                        11.00             0.3505       400.00               140.20
Cash Flows (Interest)                        12.00             0.3186       400.00               127.45
Cash Flows (Interest)                        13.00             0.2897       400.00               115.87
Cash Flows (Interest)                        14.00             0.2633       400.00               105.33
Cash Flows (Interest)                        15.00             0.2394       400.00                 95.76
Cash Flows (Interest)                        16.00             0.2176       400.00                 87.05
Cash Flows (Interest)                        17.00             0.1978       400.00                 79.14
Cash Flows (Interest)                        18.00             0.1799       400.00                 71.94
Cash Flows (Interest)                        19.00             0.1635       400.00                 65.40
Cash Flows (Interest)                        20.00             0.1486       400.00                 59.46
Cash flows (Maturity Amount)                        20.00             0.1486    2,000.00               297.20
Intrinsic Value of Bond or Current Bond Price           3,702.63
Value of bond is RM3702.63
c) When the interest rate risk increases from 14% to 19% then the price of bond decreases, hence it is a discount bond.
When interest rate decreases from 14% to 10% then the price of bond will increase and hence it is a premium bond.
d)Statement showing Price or Intrinsic Value                 ( since there is annual payment so coupon payment is 400, yield is 19% and number of years= 15)
Particulars Time PVf @19% Amount PV
Cash Flows (Interest)                          1.00             0.8403       400.00               336.13
Cash Flows (Interest)                          2.00             0.7062       400.00               282.47
Cash Flows (Interest)                          3.00             0.5934       400.00               237.37
Cash Flows (Interest)                          4.00             0.4987       400.00               199.47
Cash Flows (Interest)                          5.00             0.4190       400.00               167.62
Cash Flows (Interest)                          6.00             0.3521       400.00               140.86
Cash Flows (Interest)                          7.00             0.2959       400.00               118.37
Cash Flows (Interest)                          8.00             0.2487       400.00                 99.47
Cash Flows (Interest)                          9.00             0.2090       400.00                 83.59
Cash Flows (Interest)                        10.00             0.1756       400.00                 70.24
Cash Flows (Interest)                        11.00             0.1476       400.00                 59.03
Cash Flows (Interest)                        12.00             0.1240       400.00                 49.60
Cash Flows (Interest)                        13.00             0.1042       400.00                 41.68
Cash Flows (Interest)                        14.00             0.0876       400.00                 35.03
Cash Flows (Interest)                        15.00             0.0736       400.00                 29.43
Cash flows (Maturity Amount)                        15.00             0.0736    2,000.00               147.20
Intrinsic Value of Bond or Current Bond Price           2,097.55
Value of bond is RM2097.55
Statement showing Price or Intrinsic Value                 ( since there is annual payment so coupon payment is 400, yield is 10% and number of years= 15)
Particulars Time PVf @10% Amount PV
Cash Flows (Interest)                          1.00             0.9091       400.00               363.64
Cash Flows (Interest)                          2.00             0.8264       400.00               330.58
Cash Flows (Interest)                          3.00             0.7513       400.00               300.53
Cash Flows (Interest)                          4.00             0.6830       400.00               273.21
Cash Flows (Interest)                          5.00             0.6209       400.00               248.37
Cash Flows (Interest)                          6.00             0.5645       400.00               225.79
Cash Flows (Interest)                          7.00             0.5132       400.00               205.26
Cash Flows (Interest)                          8.00             0.4665       400.00               186.60
Cash Flows (Interest)                          9.00             0.4241       400.00               169.64
Cash Flows (Interest)                        10.00             0.3855       400.00               154.22
Cash Flows (Interest)                        11.00             0.3505       400.00               140.20
Cash Flows (Interest)                        12.00             0.3186       400.00               127.45
Cash Flows (Interest)                        13.00             0.2897       400.00               115.87
Cash Flows (Interest)                        14.00             0.2633       400.00               105.33
Cash Flows (Interest)                        15.00             0.2394       400.00                 95.76
Cash flows (Maturity Amount)                        15.00             0.2394    2,000.00               478.80
Intrinsic Value of Bond or Current Bond Price           3,521.23
Value of bond is RM3521.23

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