Exam 1: Simple Interest and Simple Discount

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A 182-day T-Bill with a face value of $50,000 is purchased for $X by an investor who wishes to yield r = 2.85%.What is X?

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Bob purchases a new smart phone for $500.The terms for the purchase are 2/30 n/90.If Bob would need to borrow money to take advantage of the discount,at what simple interest rate r will he be indifferent as to borrowing to take advantage of the discount versus paying the full balance when due? (Assume exact interest).

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A bank lends money using a simple discount rate d = 8%.If John needs $10,000 today and will repay the loan in 8 months,what loan amount should he request?

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What is the price of a $100,000 182-day T-bill if the yield rate is 5%?

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How long will it takes $4000 to accumulate to $4262.77 at a simple discount rate of 9%?

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A debt of $3000 is due in 4 months and another $5000 is due in 9 months.Instead,it is agreed that a payment of $X,made in 3 months,followed by a payment of $4000 in 10 months,will fully pay off the loan.Using 9 months as the focal date,what is X if the simple interest rate on the loan is r = 10%?

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What simple interest rate,r,is Jim being charged on the promissory note?

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A payment of $5000 that was due 20 days ago and another payment of $4000 that is due 50 days from now are to be settled/replaced by a payment of $6000 today and a payment of $X 90-days from today.If r = 11%,what is the value of X using today as the focal date?

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A loan of $10,000 was taken out at a simple interest rate of 12%.The first two partial payments are: $200 (91 days after the loan date)and $Y (39 days later).Using the declining balance method,the loan balance immediately after the payment of Y is $8228.67.What is the value of Y?

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A 182-day T-Bill with a face value of $25,000 is purchased for $X by an investor who wishes to yield r = 3.50%.What is X?

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A 120-day promissory note for $50,000 bears interest at r = 10%.It is sold 90-days before the maturity date to a bank that discounts the note at r = 15%.What does the bank pay for the note?

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After 30-days,the note is sold by Brenda to a bank that charges a simple discount rate of d = 10%.What are the proceeds of the sale?

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Suppose you deposit $10,000 on March 21 in a fund earning simple interest at r = 13%.How much will you have exactly 6 months later?

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A person borrows $100,000 at a simple interest rate r = 24%.He is to repay the loan with 2 payments,one at the end of 2 months and the other at the end of 6 months.The first payment is the same as the 2nd payment.Determine the size of the payments,using the end of 6 months as the focal date.

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You are given that $2000 accumulates to $2032.88 at the end of 120 days at a simple interest rate equal to r.What is the equivalent simple discount rate,d,over the same 120-days period?

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You borrow $800 today at r = 12% from a bank that uses ordinary interest (Banker's rule).You pay back at least $845 in n-days.What is the value of n?

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You deposit $10,000 in a 9-month investment that pays r = 8% for the first 6 months and r = 6% for the last 3 months.What is the maturity value of the investment at the end of 9 months?

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You buy a stove for $1500 on February 20.The store gives you 4 months "interest free",after which you must pay the $1500.However,the store charges an administration fee of $50,to be paid today.What rate of simple interest,r,are you being charged for this "interest free" plan?

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A debt of $5000 is due today and another debt of $4000 is due in 70 days.These debts are to be settled/replaced by a payment of $6000 in 20-days and a payment of $X in 110-days (from today).If r = 11%,what is the value of X using the end of 20 days as the focal date?

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Bill has a debt of $5000 which was due 30 days ago.He also has another debt of $6000 due 90 days from now.It has been decided that these 2 debts will be settled by a payment of $4000 today and a final payment of X made 70 days from now.If the simple interest rate is r = 9%,what is the value of X if you use a focal date of now?

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