A commercial bank is planning to offer Luna a loan in the amount of $15,000 and the bank figures that Luna will repay the loan in full with probability 0.79 and default otherwise. Also, Luna has asked for an interest rate of 12%. In order for the bank to be able to offer this rate, what is the collateral amount that Luna must offer the bank in the event of default? $8,177.5 $8,228.6 $8.366.9 $8.401.1
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- What is the total amount to be repaid on a fixed rate mortgage of $135,000 for 30 years if the annual interest rate is 7%? Years5% 5.5% 6% 6.5% 7% 7.5% 8% 8.5%9% 30 5.375.68 6.006.32 6.656.99 7.347.69 8.05 O O O O $323,190 $233,209 O $299,390 ○ $322,090Bank Risks] Banks sometimes issue large, mark etable certificates of deposits when other deposits declin e. The chart below exhibits the ratio of large time deposits to the total deposits in commercial banking industry in the US from 1995 to 2008. As you can o bserve, large time deposits had become increasingly important source of funds for banks. Note that a time deposit is an in terest-bearing bank deposit wi th a specified period of maturity. It is a mon ey deposit at a banking in stitution that cannot be withdrawn for a specific term or period of time. FRED - Large Time Deposits, Al Commercial Banks/Deposits, Al Commercial Bariks 0.32 0.30 0.28 0.26 0.24 0.22 020 0.18 a16 014 0.12 1996 1998 2000 2002 2004 2006 2008 Source Board of Governors of the Federal Reserve System (US) mytredig/F2kV What type of bank risk(s) (Liqui dity risk, credit risk, interest-rate risk, trading risk) does more likely account for this increase in large time dep osits and why? B. of U.S. S/BIl. of U.S. SAssume there is a bond with the coupon rate of 15.2%, yield to maturity (YTM) of 9.4%, and with the face value of $1,000. Further assume that the bond will mature 9 years from now, and that the interest rate will compound semiannually. What is the bond's current market value? O $1,412.34 O $1,339.25 O $1,392.35 O $1,347.08
- If Tim borrows $600 from a payday loan operator and has to pay S775 at the end of 1 month, how much will he have to pay if he were to keep the money for a year on the same terms? O. $12,407 O. $6,321 O. $1,020 O. $12,9416. You are given an annuity payable continuously at the rate of • $1000 per year while both (40) and (50) are alive • $600 per year while one of (40) and (50) is alive and the other is dead The present value of this annuity is $9400. A second annuity payable continuously at the rate of $1200 per ycar while either of them is alive has present value $13200. What is the present value of an annuity payable continuously at the rate of $1000 per year while one of (40) and (50) is alive and the other is dead?4. Looking forward - Future value Compounding Interest You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on your other obligations, you can save 7,375.00 per year via an annual, single year-end deposit. You are 40 years old now, so your money will grow for the next 25 years until you turn 65. You will open a savings account at the US Bank branch near your home. Its savings accounts are paying 6% interest. The following table shows the future value factors for various periods and interest rates: Future Value of an Annuity Factor 3% 6% 8% 9% 10% 5% 12.578 10.950 11.460 13.180 14.487 15.190 15.937 13.412 14.190 15.917 16.870 18.977 20.140 21.384 17.293 18.600 21.578 23.270 27.152 29.360 31.772 24.297 26.870 33.066 36.780 45.762 51.160 57.274 32.030 36.460 47.726 54.860 73.105 84.700 98.346 40.567 47.570 66.438 79.060 113.282 136.300 164.491 49.994 60.460 90.318 111.430 172.314 215.700 271.018…
- Calculate the maturity value of a 300-day, $6,000 simple interest term deposit earning 5.15%. O a. $7,021.99 O b. $6,309.00 O c. $6,111.78 O d. $6,253.97 e. $5,756.34The value (in cents) of shares, x years after their flotation on the stock market, is modelled by V = 6e^0.8x Find the increase in the value of these shares, to the nearest cent, 4 years and 2 months later. O A, 168 ОВ. 167 Oc 173 O D, 162 O E, 172If you are expecting to get OMR 32501 at the end of 3 years. Calculate its present value if the interest rate is 9% and is computed quarterly. Select one: O a. 30403.18 O b. All the given choices are not correct Oc. 25097.30 O d. 11557.97 O e. 24885.15
- You deposited a $1,000 in your account in a bank that gives a daily interest of i where interest is paid monthly. Assuming simple interest, calculate the interest rate (1) that will result in $1,006 in your bank account after a month. Select one: a. 0.060 % b. 0.040 % c. 0.020 % o d. 0.016 %Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its firstyear in production. However, its subsequent production (yield) is expected to increaseby 9% over the previous year's production. The oil well has a proven reserve of10,500,000 barrels. (a)Suppose that the price of oil is expected to be $120 per barrel for the next six years.What would be the present worth of the anticipated revenue stream at an interest rateof 10% compounded annually over the next six years?(b)Suppose that the price of oil is expected to start at $120 per barrel during the firstyear, but to increase at the rate of 3% over the previous year's price. What would bethe present worth of the anticipated revenue stream at an interest rate of 10%compounded annually over the next six years?(c)Consider part (b) again. After three years' production, you decide to sell the oil well.What would be a fair price?Explain why pre-payment risk is more likely when a mortgage is young thanwhen the mortgage is approaching its completion date.