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MA373 S10 Test 2 Solutions

MA373 S10 Test 2 Solutions - ﬂsr 2210/0 i 1 A 20 year...

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Unformatted text preview: ﬂsr 2210/0 i 1. A 20 year bond has a par value of 2000 and matures for 2500. The semi-annual coupons are paid at a rate of 6% convertible semi-annually. Calculate the price of this bond to yield 8% convertible semi-annually. A 20 year annuity has annual payments at the end of each year. The first payment is 1000. The second payment is 1200. Each subsequent payment is 200 greater than the previous payment until 4800 is paid at the end of the 20th year. Calculate the accumulated value of this annuity at the end of 20 years using i = 0.075. (305.2 1000 new W90 Li! D i 2” § @CD Lisa: 53%? Q vﬁwmuldc Pm/GQQ Q :5: QWQQ LCD Award :2 V>[/ H> % W )000 @6340 M5 “in gig?" 3. You are given the following table: _ Year2 Portfolio -0825 -0730 -0800 -0705 .0775 0680 -0725 0650 - - Year -0675 -0610 .0630 .0570 2005 .0575 .0530 0480 - -0470 -0535 _ _— —_— _-_— Nancy invests X on January 1, 1997 in a fund which credits interest using the investment year method. Nancy also invests X on January 1, 2001 into a fund earning the portfolio interest rate. On December 31, 2004, Nancy has a total of 3735.05 in the two funds combined. Calculate X. X l I .08)(/ .o775’)(/.m§§(/[email protected]{2.NIX/.ozgéy/ewg/L Dob i— >< zrowanMarmot/a; . <05” X (l«'73“vl90|§’e§f.2> We): [1.93% 81.33%) 3,. 378.3 x; lQE4 4. Brian is receiving a level continuous annuity at a constant rate ofX per year for 20 years. Lifan is receiving an increasing continuous annuity at a rate of 50t at time t for a period of 20 years. You are given that 5 = 0.10. The present value of Brian's annuity is equal to the present value of Lifan’s annuity. l Calculate X. 5. An 8 year bond with annual coupons of 200 matures for 3500. If this bond is bought at a premium of 500, calculate the annual effective yield rate used to determine the price of the bond. 77mme a ?w G; a a, {we 36? “Pg. Trmmirvxlwc; e: \$299+ 3390 Li ll, Pvﬁw QQQC? #Ilﬂ umclﬂrﬂdhly 33 \/@lwf e z 6. A ten year annuity pays 15 at the end of each month during the first year. It pays 30 at the end of each month during the second year. The payments are level during each year, but continue to increase year to year until 150 is paid at the end of each month during the 10th year. The interest rate is 12% compounded monthly. Calculate the present value of this annuity. 2‘) ‘50 a“ 7. Emily is repaying a 10,000 loan with annual payments of 900. The final payment will be for an amount less than 900 (a drop payment). The annual effective rate on the loan is 5%. Calculate the amount of the drop payment. ill/\$5 g “’69)ng ,FMT”; 95\$ “Pam. a 537,057-a193 aﬁ+w A” Amoum‘ omgﬁ AT l“? eifwlrmumf AT” I®5£l¥ i [63?0032‘35ylﬂESD aw 5L9 % . €325 l l 8. A loan of 50,000 is being repaid using the sinking fund method. Payments are made annually at the end of each year for 10 years. The interest rate on the loan is 6%. The interest rate earned by the sinking fund is 4%. Calculate the interest paid each year on the loan and the annual sinking fund deposit. :3 3:: ‘OCQ [52310ng 3©@@ H . A bond has a book value immediately after the fifth coupon of 1000. The next semi—annual coupon is 45. The bond was purchased to yield 8% convertible semi-annually. Calculate the book value immediately after the sixth coupon. Ca Mm) 1&3???ng “B t M‘QQQ 06:4?er C a, iffg'i‘éfé’éfgf /£D®@ 9, 5:3: 10. The present value of an increasing perpetuity immediate is 650. The perpetuity pays 1 at the end of the first year, 2 at the end of the second year, etc. Calculate i. ' ' 3’ L! L f" :9“ “f” ﬁ k L, 11. The book value of a bond immediately after the 5th coupon is 1200. The bond was purchased to yield 6% convertible semi—annually. The bond pays semi—annual coupons of 80. Calculate the Clean Value of the Bond at 2 months after the 5th coupon. (.9 3 4"” “LESLQB lat”; @Q \ V 3%) 5mm Vetuéﬁ lloD<l£>5> 2» 90(dﬁég 12. A loan is being repaid using the sinking fund method. Sinking fund payments of 1000 are being made monthly. The sinking fund earns 12% compounded monthly. Calculate the amount in the sinking fund at the end of two years. AMOLUOT TA? Slip/{9.3042, I]:sz 13. A bond matures in 30 years for 100,000. The bond pays an increasing annual coupon. The coupon at the end of the first year is 500. The coupon at the end of the second year is 1000. Each subsequent coupon increases by 500 until a coupon of 15,000 is paid at the end of the 30th year. If the bond is bought to yield 10% annually, calculate the price of this bond. 14. A loan is being repaid with periodic payments of Q. The principal in the 10th payment is 89.00. The principal in the 50th payment is 229.83. The interest in the 60th payment is 708.66. Calculate Q. y a (Mfg; Gigi W 5 lizwéwmﬂ e? , m le . (g7égtg/Qig5 ‘ “P cvsbiwomwww W“ gal-aw >3 4” WQ'W a enema: : 15. A zero coupon bond maturing for 100,000 in 30 years was purchased for 10,000. Calculate the yield rate on the bond. /[email protected]/ M g )g—mw,wgmmmmwmmmwMW"WWMW“’mmmmmm‘mﬁmmﬂa‘i . 5 a lo / (9/ 0&0 30 d e, c; (.9 W/QQQ (liﬁ w /00c::> ‘ W ...
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MA373 S10 Test 2 Solutions - ﬂsr 2210/0 i 1 A 20 year...

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