Finance Assignment-Determination of Interest Rate

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  • 8/7/2019 Finance Assignment-Determination of Interest Rate

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    An Assignment

    On

    The Determinant of interest rate

    Course Title: Financial Markets and Institution

    Course No: FIN-403

    Submitted To:

    S.M. Zahidur Rahman

    Assistant Professor

    Submitted By:

    Sharmin Sultana-070318

    3rd year, 2nd

    term

    Business Administration Discipline

    Khulna University, Khulna

    Date of Submission: 15th November,2009

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    Answer to the question no-3

    Here, Market interest rate= 12%, project year=10 year, Cash outflow= 15, 00,000

    Cash inflow= $500,000* PVIFA (12%, 10 YEAR)= $500,000*5.650=$28, 25,000

    We know that NPV= PV of Cash inflows- PV of Cash outflows= $28, 50,000-$15, 00,000= $13, 50,000

    We know that if NPV of any project is more than zero, it should be accepted becauseit shows the profitability of the project. So, in this case the project should be accepted.

    Answer to the question no-4

    Here, coupon interest rate= 9%, Market interest rate=11%, Face value of the bond=$1000, maturity=10 years

    Market price of the bond = Interest* PVIFA (11%, 10 year) + M*PVIF (11%, 10year)

    = 90* 5.889+ 1,000*.352= 882.01

    If the bond price declines to 7%, the market price of the bond will be,= 70* 5.889+1000*.352= 764.23

    As interest rate of the bond declines, the present value of the total interest will declinealso and consequently the market price of the bond will be reduced.

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    Answer to the Question no- 5

    a) The first statement, we can determine it under the theory of Liquidity PreferenceTheory because it tells that central bank controls the interest rate by manipulatingthe supply of money. So in this statement it is mentioned that Federal Reservethrough credit policy controls the interest rate , here we find some similarity withLiquidity Preference Theory.

    b) The second statement shows the balance of bond and stock market effects thatmeans the balance between supply of money and the demand for money. we findsome resemble with Rational Expectation Theory of Interest, it indicates thatmoney and Capital market are highly efficient in the use of new informationwhich affect the security price and interest rates.

    Answer to the question no- 6

    Total demand for funds Total volumes of savingsexpected

    Alternative marketinterest rates

    $170 $80 5%

    155 96 6142 103 7

    135 135 8128 178 9

    111 207 10

    92 249 1186 285 12

    According to the classical interest theory we know that the equilibrium rate of interestis determined at the point where the quantity of savings supplied to the market isexactly equal to the quantity of fund s demanded for investment. We can show itgraphically:

    If the volume of savings exceeds the demand for investment capital, creating an

    excess level of savings at that time the interest rate will be temporarily aboveequilibrium.Again if investment demand exceeds the quantity of savings the market interest ratelies below equilibrium.

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    Answer to the question no-7:

    We know that according to the liquidiuty preference theory , the amount of demand =the amount of supply.

    Here, MD=30-2iAnd , MS=3+7iSo, 30-2i=3+7iOr, 7i+2i=30-3Or, 9i=27Or, i=3Equilibrium interest rate is the point where demand and supply will be equal, if u putthe interest rate we got , the demand for money will be= 30-2*3=24 and supply formoney will be=3+7*3=24So, we can say that the equilibrium interest rate according to theLiquidity PreferenceTheory is =3

    Answer to the question no-8:

    To determine the IRR and NPV, we need to calculate net present value of the cashflows.

    Present Value of cash flows (project-A) = $3310*PVIFA (12%, 5 year)= $3310*3.605=$11932.55

    Present Value cash inflows (project-B) = $6525*PVIFA (12%, 5 year)= $6525*3.605= 23522.625

    NPV of project-A= 11932.55- 9870= 2062.55NPV of project-B=23522.625-17850=5672.625

    In the perspective of NPV, both project can be taken as they are more than zero orpositive.

    We know that IRR the rate at which the NPV is zero. So to calculate IRR we have todetermine at which point NPV is zero.

    In case of project-A:

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    If IRR is 20%, NPV will be=9900.21-9870= 30.21

    Again, if IRR is 21%, NPV will be = 9685-9870= (-184.99)

    So, IRR will be between 20% and 21%

    Specifically, IRR= 20%+ 30.21-0/ 30.21-(-184.99)*1%= 20.14%

    Again in case of project-B:

    If the IRR is 24%, NPV will be =63.63

    And if it is 25%, NPV will be = (-304.275)

    So, IRR specifically= 24%+63.63-0/63.63-(-304.275)*1%

    =24.17%

    IRR should be more than cost of capital. Here, cost of capital is 12%, so both theproject is acceptable as they are independent projects.