Which of the following are characteristics of Treasury bills (T-bills)? Check all that apply. OT-bills are sold at a discount. OT-bills have maturities of 28, 91, and 182 days. The government pays a market-determined interest rate on T-bills. O Institutional investors can purchase T-bills. Suppose Mr. Ferrari buys a 90-day T-bill with a face value of $1,000 at a price of $993. The discount rate yield (DRY) would be whereas the investment return yield (IRY) would be 2.8589% 3.972% 2.8000% 0.216%
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- If you purchase $27,000 in U.S. Treasury Bills with a discount rate of 4.2% for a period of 26 weeks, what is the effective interest rate? Round to the nearest hundredth percent. Step 1 The effective interest rate on a U.S. Treasury Bill, or T-Bill, is the actual interest rate on a loan to the government and takes into account the fact that the purchaser does not pay the full amount of the T-Bill. It is calculated using the interest, purchase price, and time. The amount of interest on a T-Bill is calculated as follows where the discount rate is given as a decimal and the time will be a fraction whose numerator is the given amount of time in weeks and denominator is 52 weeks. interest = face value ✕ discount rate ✕ time The rate was given to be 4.2%. As a decimal, we have 4.2% = . Calculate the interest (in $) for a $27,000 T-Bill with a discount of 4.2% for 26 weeks. interest = face value ✕ discount rate ✕ time in weeks 52 weeks = $27,000 ✕ ✕ 26…Treasure bills (T-bills) are used by the U.S. Treasury Department to finance the public debt. Suppose a 180-day T-bill with a maturity value of $10,000 is purchased for $9,885.56. What annual simple interest rate is earned on this T-bill? (Answer as a percentage rounded to three decimal places.) I = PRT, A = P+Imerchant receives an invoice for $8000 with terms 2/10, n/50.a) What is the maximum interest rate that the merchant could borrow money at to take advantage of the discount?b) If the bank offers a loan for 15% interest, should he accept it, and if so, what will be his savings?
- A promissory note is a written statement agreeing to pay a sum of money either on demand or at a definite future time. When a note is purchased for its present value at a given interest rate, the note is said to be discounted and the interest rate is called the discount rate. Suppose a $10,000 note due 7 years from now is sold to a financial institution for $5600. What is the nominal discount rate with quarterly compounding? The nominal rate is %. (Type an integer or decimal rounded to two decimal places as needed.)What’s the equivalent interest rate to the terms 3/20, n/60? In other words, what is the effective annual rate that is "given" to a customer for this cash discount? (Use 365 days.) HINT: Use the I = P x R x T formula where R = I/PT and choose some value for the gross amount of the invoice (i.e $1,000). Label (%) and round to the nearest whole percent.A customer asks a bank if it would be willing to commit to making the customer a one-year loan at an interest rate of 6.5% two years from now. To compensate for the costs of making the loan, the bank needs to charge two percentage points more than the expected interest rate on a Treasury bond with the same maturity if it is to make a profit. The bank estimates the liquidity (term) premium for one-, two-, and three-year bond to be 0%, 0.5%, and 1%, respectively. According to the Treasury yield curve below, what interest rate the loan must charge in order for the bank to make a profit on the loan? Should the manager be willing to make the commitment? Choose the closest answer below. Spot rate 6% 5% 4% Term 1-year 2-year 3-year O 7%; Yes O 8%; No O 5%: Yes O 6%; Yes O 7%; No
- You plan to invest $10,000 for 180 days. Your bank offers a rate of 2.60% on 90-day GICS and 2.85% on 180-day GICS. How much more interest will you earn if you purchase a single 180-day GIC instead of two consecutive 90-day GICS? Remember that the interest earned from the first 90-day GIC will be invested in the second 90-day GIC along with the principal. Express your answer to 2 decimal places but do not include the $ sign. Your Answer: AnswerMany lending agencies compound interest more often than yearly, and as we noted in Example P.2, they are required to report the annual percentage rate, or APR, in a prominent place on the loan agreement. Furthermore, they are required to calculate the APR in a specific way. If r is the monthly interest rate, then the APR is calculated using APR = 12 ✕ r. (a) Suppose a credit card company charges a monthly interest rate of 1.8%. What APR must the company report? (Round your answer to the nearest tenth of a percent.) %(b) The phrase annual percentage rate leads some to believe that if you borrow $5000 from a credit card company which quotes an APR of 21.6%, and if no payments are made, then at the end of 1 year interest would be calculated at 21.6% simple interest on $5000. How much would you owe at the end of a year if interest is calculated in this way? (Round your answer to the nearest cent.)$ (c) If interest is compounded monthly (which is common), then the actual amount you would…Use a bankers year: 360 T-bills (Treasury bills) are one of the instruments the U.S. Treasury Department uses to finance public debt. If you buy a 200-day T-bill with a maturity value of $17,750 for $17,564.46, what annual simple interest rate will you earn? Express your answer as a percentage.
- Because simple interest is used on short-term notes, the time period is often given in days rather than months or years. We convert this to years by dividing by 360, assuming a 360 day year called a banker's year. 1. T-bills (Treasury bills) are one of the instruments the U.S. Treasury Department uses to finance public debt. If you buy a 210-day T-bill with a maturity value of $18,750 for $18,307.34, what annual simple interest rate will you earn? Express your answer as a percentage. %. Round to the nearest thousandths of a percent (3 decimal places). 2. To complete the sale of a house, the you accept a 320-day note for $8,000 at 9% simple interest. (Both interest and principal are repaid at the end of the 320 days.) Wishing to use the money sooner for the purchase of another house, the you sell the note to a third party for $8,116 after 40 days. What annual simple interest rate will the third party receive for the investment? Express your answer as a…Forte Company estimates two scenarios of possible future notes receivable uncollectibles and the probability of each not being collected in the next year. The risk-free rate is 4%. (Click the icon to view the scenarios.) (Click the icon to view the Future Value of $1 table.) (Click the icon to view the Future Value of an Ordinary Annuity table.) (Click the icon to view the Future Value of an Annuity Due table. Requirement For each of the scenarios, compute the expected cash flow value based on the probabilities given. Compare the expected cash flows on each case. $ Estimated Loss 55,000 165,000 1,500,000 Total expected cash flow loss - Scenario 1 Scenario 1: Probability of Loss Occurring Scenario 1 Scenario 2 20 % 75 % 5% Expected Cash Flow Loss $ $ 11,000 $ 123,750 75,000 209,750 (Click the icon to view the Present Value of $1 table.) (Click the icon to view the Present Value of an Ordinary Annuity table.) (Click the icon to view the Present Value of an Annuity Due table.) Scenario 2:…Suppose someone offered to sell you a note calling for the payment of $1,000 in 15months. They offer to sell it to you for $850. You have $850 in a bank time depositthat pays a 6.76649% nominal rate with daily compounding, which is a 7% effectiveannual interest rate, and you plan to leave the money in the bank unless you buy thenote. The note is not risky—you are sure it will be paid on schedule. Should you buythe note? Check the decision in three ways: (1) by comparing your future value ifyou buy the note versus leaving your money in the bank; (2) by comparing the PV ofthe note with your current bank account; and (3) by comparing the EFF% on thenote with that of the bank account.