2. Let the force of interest be 8(t) = 0.06 when t is between 0 and 10 and 8(t) = 0.06+.01(t-10) for t>10 a. Calculate the present value of $1 paid at time 15 b. Calculate the annual effective rate of discount that would produce an equivalent present value. c. Calculate the present value at time 0 of an income stream of size e-0.071 paid between time 1 and time 4.

2. Let the force of interest be 8(t) = 0.06 when t is between 0 and 10 and 8(t) = 0.06+.01(t-10) for t>10 a. Calculate the present value of $1 paid at time 15 b. Calculate the annual effective rate of discount that would produce an equivalent present value. c. Calculate the present value at time 0 of an income stream of size e-0.071 paid between time 1 and time 4.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

Use the basic formula for present value, along with the given discount rate, r, and the number of periods, n, to calculate the present value of $1 in teh case shown in the following table. Opportunity cost r: 7% Number of periods n: 17
A) A discount rate of 0% means that payments are worth the same today and at all points in future. B) Tripling the time to payment decreases present value to a third of the original value (that is, 1/3 of the original value). C) The differences between the effects of discount rates become larger as the time to payment gets shorter. D) Tripling the discount rate decreases present value to a third of the original value (that is, 1/3 of the original value).
Assume the following: Spot USDBRL = 5.0500 1YR USD Money Market Rates = 1.50% 1YR BRL Money Market Rates = 9.00% What is the 1YR USDBRL forward rate? (Recall that Money Market Rates are quoted as annualized rates)
Assume the appropriate discount rate for the following cash flows is 10.2 percent. Year Cash Flow 1 $2,100 2 2,000 3 1,700 4 1,500 What is the present value of the cash flows? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
What is the present value of payments that are: year 0: 5000, year1: 10000, year2: 12500, year3: 15000? Discount factor 11%.
Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)
1. Suppose that a loan of $9,000 is given at an interest rate of 2% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. (a.) Find the amount owed at the end of 1 year. $_____?(b.) Find the amount owed at the end of 2 years. $_____? 2. If the rate of inflation is 2.5% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t)=2000(1.025)t Find the current price of the item and the price 10 years from today. (Roud your answers to the nearest dollar as necessary.) Current Price: $_____?Price 10 years from today: $_____?
You see the following rate “X”: 0.3% compounded weekly A) What is the APR of X? B) What are the APY of X? C) When compared with rate “Y” that has EAR=16%, which rate would you pick if you were asked to borrow money at that rate for one year? Why?
2. Suppose the Investment Yield on a 182-day T bill is 4%. What is its discount-basis yield?
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.
Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132
Assume inflation is 2.60% and the nominal (annual) interest rate is 6.35%. If the interest rate is held constant, but inflation rises to 5.25%, does it cost more or less in real terms to borrow money than when the inflation rate was 2.60%? Explain your answer and make sure to include your real interest rates in both situation.

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