You lend your sister's daughter $2,000 for a year, if at the end of the year she pays you $2,180. The interest rate you are charging her is O 1.1%. 9%. 10%. 20%.
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- Calculate the equity each of these people has in his or her home: Fred just bought a house for 200,000 by putting 10 as a down payment and borrowing the rest from the bank. Freda bought a house for 150,000 in cash, but if she were to sell it now, it would sell for 250,000. Frank bought a house for 100,000. He put 20 down and borrowed the rest from the bank. However, the value of the house has now increased to 160,000 and he has paid off 20,000 of the bank loan.Imagine that a local water company issued 10,000 ten-year bond at an interest rate of 6. You are thinking about buying this bond one year before the end of the ten years, but interest rates are now 9. Given the change in interest rates, would you expect to pay more or less than 10,000 for the bond? Calculate what you would actually be willing to pay for this bond.What is the total amount of interest from a 5,000 loan after three years with a simple interest rate of 6?
- Suppose Ford Motor Company issues a five year bond with a face value of 5,000 that pays an annual coupon payment of $150. What is the interest rate Ford is paying on the borrowed funds? Suppose the market interest rate rises from 3 to 4 a year after Ford issues the bonds. Will the value of the bond increase or decrease?10. Suppose the interest rate is 5% and that you are to receive three annual payments of $10,000, with the first payment one year from now, the second payment two years from now, and the third payment three years from now. What is the present value of this stream of payments?4. Joyce buys a television set from a merchant who asks P 18,750 at the end of 60 days (cash in 60 days). Joyce wishes to pay immediately and the merchant offers to compute the cash price on the assumption that money is worth 8% simple interest. What is the cash price today?
- Suppose you make an annual contribution of $5,000 to your savings account at the end of each year for five years. If your savings account earns 6% interest annually, how much can be withdrawn at the end of five years? (See Figure 2.16.)Theodore D. Kat is applying to his friendly, neighborhood bank for a mortgage of $200,000. The bank is quoting 6%. He would like to have a 25-year amortization period and wants to make payments monthly. What will Theodore’s payments be? 48 LO3Consider a bond and a stock. The bond will pay out 100,000 at the end of year five. It will pay nothing at the end of years 1, 2, 3, or 4. The stock is for a corporation that makes profits off a patent. It will pay dividends for the next 25 years, 5,000 dollars at the end of each year. After that, the patent expires and the dividends go to zero. a) Suppose the interest rate is zero. What is the present value of each of these two assets? In other words, if you had to pay now, which is worth more? [Note: This requires calculating “present values”; you can use excel and if needed] b) The Fed’s monetary policy raises the interest rate to 2.5%. Which is worth more? c) The Fed’s monetary policy raises the interest rate to 5%. Which is worth more? d) What is the intuition for the different results in a), b) and c)? e) Do the above results suggest that, by raising the interest rate, the Fed can powerfully affect the price of assets like stocks?
- 1. Suppose that $100 is invested for five years at an interest rate of 8% per year, compounded annually. How much will be in the account at the end of five years? 2. Suppose that an investor wishes to deposit an amount now so that in 30 years $1,000,000 will be in an account that pays 10% interest per year, compounded annually. What amount must be deposited now? 3. How many years are required for an investment to double in value at 10% interest? 4. Suppose that an investor wishes to deposit an amount now so that in 20 years there will be $50,000 in an account that pays 7% interest, compounded annually. What amount must be deposited now?1. Suppose that you invest $100. At 3% interest, how long does it take to double your money? To quadruple it?2. Suppose that Anna's college education would cost around $500,000 when they enter college in 15 years. At present, She have $100,000 to invest.What annual interest must she earn on her investment to cover the costQ. 3 The future value of an annuity will increase if the interest rate goes up , but the present value of the same annuity will decrease as the interest rate goes up . Select one : O. True O.False