You and a coworker have been trying to develop a linear equation that describes the local household consumption function. Your c
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Answer:
Sam change: -5.13%
Dave change -18.01%
Explanation:
If interest rate increase by 2%
then the YTM of the bond will be 9.3%
We need eto calcualte the present value of the coupon and maturity of the bond at this new rate:
<em><u>For the coupon payment we use the formula for ordinary annuity</u></em>
Coupon payment: 1,000 x 7.3% / 2 payment per year: 36.50
time 6 (3 years x 2 payment per year)
YTM seiannual: 0.0465 (9.3% annual /2 = 4.65% semiannual)
PV $187.3546
<u><em>For the maturity we calculate usign the lump sum formula:</em></u>
Maturity: $ 1,000.00
time: 6 payment
rate: 0.0465
PV 761.32
Now, we add both together:
PV coupon $187.3546 + PV maturity $761.3154 = $948.6700
now we calcualte the change in percentage:
948.67/1,000 - 1 = -0.051330026 = -5.13
For Dave we do the same:
C 36.50
time 40
rate 0.0465
PV $657.5166
Maturity 1,000.00
time 40.00
rate 0.0465
PV 162.34
PV c $657.5166
PV m $162.3419
Total $819.8585
Change:
819.86 / 1,000 - 1 = -0.180141521 = -18.01%