A borrower had a loan of $ 30 comma 000.00 at 6 % compounded annually comma with 8 annual payments. Suppose the borrower paid of
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Answer:
a) 7% as their market price will adjsut to give the same yield as the market
b) bond P = -10.17
bonds D = 10.07
Explanation:
we have to calcualte the price variation of the bonds from now (10 years to maturity) to next year (9 years)
Bond P
C 90.000
time 10
rate 0.07
PV $632.1223
Maturity 1,000.00
time 10.00
rate 0.07
PV 508.35
PV c $632.1223
PV m $508.3493
Total $1,140.4716
then, at time = 9
C 90.000
time 9
rate 0.07
PV $586.3709
Maturity 1,000.00
time 9.00
rate 0.07
PV 543.93
PV c $586.3709
PV m $543.9337
Total $1,130.3046
Capital loss: 1,130.30 - 1,140.47 = -10.17
We repeat the process for bond D
C 50.000
time 10
rate 0.07
PV $351.1791
Maturity 1,000.00
time 10.00
rate 0.07
PV 508.35
PV c $351.1791
PV m $508.3493
Total $859.5284
C 50.000
time 9
rate 0.07
PV $325.7616
Maturity 1,000.00
time 9.00
rate 0.07
PV 543.93
PV c $325.7616
PV m $543.9337
Total $869.6954
Capital gain: 869.70 - 859.53 = 10.07