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.
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interest | = | face value ✕ discount rate ✕
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= | $27,000 ✕ ✕
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= | $ |
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- 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+IA 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.)a. A one-year treasury bill with a face value of $1 million has a nominal interest rate of 0031% if its purchase price is $985,000 and a nominal interest rate of % if its purchase price is $970,000. Enter your responses rounded to 1 decimal place. b. To raise the nominal interest rate on treasury bills the Bank of Canada can adjust supply in its auction of bills through a(n) increase in how many bills it sells at the auction. c. To raise the nominal interest rate on treasury bills the Bank of Canada can also adjust its own purchases in the auction of treasury bills through a(n) [decrease in how many bills it buys at the auction.
- 4. On 1/1/21 we sell equipment and accept a 3-year note receivable for $36,500. The market value is $36,500. Payments of $13,655 include both principal and interest and are to be made annually starting on 1/1/22. The present value of the payments is $36,500. The bank would require the purchaser to pay interest of 6% in order to borrow from them. The equipment cost us $90,000 and had a book value of $40,000. Note: Be sure to show the date of each journal entry. The 'right' journal entry on the 'wrong' date is wrong. a. Prepare an amortization table b. Prepare the journal entry for 1/1/21 c. Prepare the journal entry for 12/31/21 d. Prepare the journal entry for 1/1/22 Amortization table: Journal entries: Debits Credits 1/1/21 12/31/21 1/1/22To payoff a loan of $1000 you need to make 40 payment of $36.56 per month. What rate of interest are you paying? What is the stated or quoted rate? What is the annual percentage rate? What is the effective annual rate? What rate is bank likely to use to state its rate?First America Bank’s monthly payment charge on a 48-month, $20,000 loan is $568.26. The U.S. Bank’s monthly payment fee is $577.70 for the same loan amount. What would be the APR for an auto loan for each of these banks? (Use Table 14.1.) Note: Round your final answers to the nearest hundredth percent. APR First America Bank between % and % U.S. Bank between % and % TABLE 14.1 ANNUAL PERCENTAGE RATE NUMBER OF PAYMENTS 10.00% 10.251% 10.50% 10.75% 11.00% 11.25% 11.50% 11.75% 12.00% 12.25% 12.50% 12.75% 13.00% 13.25% 13.50 13.75% (FINANCE CHARGE PER $100 OF AMOUNT FINANCED) 1 0.83 0.85 0.87 0.90 0.92 0.94 0.96 0.98 1.00 1.02 1.04 1.06 1.08 1.10 1.12 1.15 2 1.25 1.28 1.31 1.35 1.38 1.41 1.44 1.47 1.50 1.53 1.57 1.60 1.63 1.66 1.69 1.72 3 1.67 1.71 1.76 1.80 1.84 1.88 1.92 1.96 2.01 2.05 2.09 2.13 2.17 2.22 2.26 2.30 4 2.09 2.14 2.20 2.25 2.30 2.35 2.41 2.46 2.51 2.57 2.62 2.67 2.72 2.78 2.83 2.88 5 2.51 2.58 2.64 2.70 2.77 2.83 2.89…
- Suppose that you owe $2,000 on a credit card that charges 18% APR and you pay either the minimum 10% or $20, whichever is higher, every month. How long will it take you to eliminate the debt? Assume that the bank uses the previous-balance method to calculate your interest, meaning that the bank does not subtract the amount of your payment from the beginning balance but charges you interest on the previous balance.A payday lender lends money on the following terms: “If I give you $100 today, you will write me a check for $120, which you will redeem or I will cash on your next payday.” Noting that calculated rates would be even higher for closer paydays, assume that the payday is two weeks away. (a) What nominal interest rate per year (r) is the lender charging? (b) What effective interest rate per year (ia) is the lender charging? (c) If the lender started with $100 and was able to keep it, as well as all the money received, loaned out at all times, how much money does the lender have at the end of one year?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…
- 5. If this loan had been made on a 10% add-on basis payable in 12 end-of-month installments, that would be the monthly payments? What is the annual percentage rate? The effective annual rate? ($45,833.33, 17.97%, 19.53%) E • How does the cost of costly trade credit generally compare with the cost of shortterm bank loans? L Focus F9 F10 F11 F12 8 9Use 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.A bank is considering using a “three against six” $2,000,000 FRA to cover its potential loss. The purpose of the FRA is to cover the interest rate risk caused by the maturity mismatch from having made a six-month Eurodollar loan and having accepted a three-month Eurodollar deposit. The agreement rate with the buyer is 4.6%. There are actually 92 days in the three-month FRA period. Assume 360 days a year, which one of the following statements is incorrect? Group of answer choices To hedge the risk caused by maturity mismatch, the bank could take the buyer’s position if it uses the Euro-Dollar Interest Rate Futures instead. If the settlement rate is 4.8% three months from today, then the buyer pays the seller. If the settlement rate is 4.8% three months from today, then the FRA is worth $1009.84 To hedge the loss caused by maturity mismatch, the bank should be a seller of the FRA. Without the FRA, the bank will lose if the market interest rate…