Imagine you borrow $490 from your roommate, agreeing to pay her back $490 plus 7 percent nominal interest in one year. Assume inflation over the life of the contract is expected to be 4.49 percent. What is the total dollar amount you will have to pay her back in year? What percentage of the interest payment is the result of the real rate of interest? (Do not round intermediate calculations. Round answers to 2 decimal places, e.g. 17.54 or 17.54%.)

Imagine you borrow $490 from your roommate, agreeing to pay her back $490 plus 7 percent nominal interest in one year. Assume inflation over the life of the contract is expected to be 4.49 percent. What is the total dollar amount you will have to pay her back in year? What percentage of the interest payment is the result of the real rate of interest? (Do not round intermediate calculations. Round answers to 2 decimal places, e.g. 17.54 or 17.54%.)

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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What is the present value of an annuity of $7,100 per year, with the first cash flow received three years from today and the last one received 25 years from today? Use a discount rate of 7 percent. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Kyle was supposed to pay Cassandra $5,200, 6 months ago, and $1,880, 5 months from now. If he wants to reschedule these payments with two payments, one payment of $2,300 today and the balance 3 months from now, calculate the balance amount. Assume that the simple interest charged is 4.75% p.a. and the agreed focal date is 3 months from now. Round to the nearest cent
NOTE: answer only D and E
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Live Forever Insurance Company is selling a perpetual annuity contract that pays $2,700 monthly. The contract currently sells for $329,000. a. What is the monthly return on this investment vehicle? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the APR? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. c. What is the effective annual return? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Monthly return b. Annual percentage rate c. Effective annual return % % %
a. What is the present value of a 3-year annuity of $110 if the discount rate is 5%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What is the present value of the annuity in (a) if you have to wait an additional year for the first payment? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
Live Forever Life Insurance Company is selling a perpetuity contract that pays $2,000 monthly. The contract currently sells for $125,000. a. What is the monthly return on this investment vehicle? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g.. 32.16.) b. What is the APR? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) c. What is the effective annual return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Monthly return b. APR c. EAR % % % D
For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.) Present Value Annuity Amount i = n = 1. ? $2,400 8% 5 2. 533,082 140,000 ? 4 3. 583,150 180,000 9% ? 4. 530,000 75,502 ? 8 5. 235,000 ? 10% 4
For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i=interest rate, and n=number of years)(FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of 1$ and PVAD of $1) (Use appropriate factor (s) from the tables provided. Round your final answers to nearest whole dollar amount.) Present Value Annuity Amount i= n= ______________ $ 2,600 8% 5 507,866 135,000 _____ 4 661,241 170,000 9% ____ 540,000 78,557 _____ 8 230,000 _____________ 10% 4
Task: Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount x, is due at the end of the rth year. Let the effective annual interest rate for the rth year be i,. Give an identity which expresses L in terms of the x, and i,. Answer: The identity is [ Select ] [ Select ] L = x_1 (1+i_1)^(-1) + x_2 (1+i_1)^(-1) (1+i_2)^(-2) + .. + x_n (1+i_1)^(-1) (1+i_2)^(-2) ... (1+i_n)^(-n) L = x_1 (1+i_1) + x_2 (1+i_1) (1+i_2) + ... + x_n (1+i_1) (1+i_2) ... (1+i_n) L = x_1 (1+i_1)^(-1) + x_2 (1+i_1)^(-1) (1+i_2)^(-1) + .. + x_n (1+i_1)^(-1) (1+i_2)^(-1) ... (1+i_n)^(-1) Question 3 L = x_1 (1+i_1) + x_2 (1+i_1) (1+i_2)^2 + ... + x_n (1+i_1) (1+i_2)^2 ... (1+i_n)^n
A perpetuity of $1 each year, with the first payment due immediately, has a present value of $25 at an annual effective rate of i%. The owner exchanges it for another perpetuity with the first payment due immediately and subsequent payments due at two year intervals. What should the payment of the second perpetuity be, in order to keep the same interest rate, i%, and the same present value? A B с D E Less than $1.90 At least $1.90, but less than $1.94 At least $1.94, but less than $1.98 At least $1.98, but less than $2.02 $2.02 or more
If you deposit $700 in a bank account that earns 5 percent per year, how much total interest will you have earned after the third year? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Total Interest =

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