Related questions
Concept explainers
1An annual percentage rate (APR) is determined by annualizing the rate using
2The more frequent the compounding, the higher the
3Which statement is NOT true?  a. Figure A correctly displays the relation between FVs of $1 investment at the interest rates 12.7% and 9.8%. b. Investment of $1 needs more than 7 years to double its value at the rate 9.8%, while only requiring less than 6 yeas to double at 12.7%. c. Figure B correctly displays the relation between PVs of $3 future value at the interest rates 12.7% and 9.8%. d. A discount factor for 5 years at 12.7% is lower than the discount factor for 5 years at 9.8%.
4After reading the fine print in your credit card agreement, you find that the "low" interest rate is actually an 17.05% APR, or 1.4208% per month. What is the effective annual rate? a. 18.45% b. 19.41% c. 18.82% d. 19.56%
5A zero-coupon bond is a bond that pay no interest payment. You buy the bond at a discount from the face value ($1000) and are paid the face amount when the bond matures. A zero-coupon bond that will pay $1,000 in 10 years is selling today for $422.41. What interest rate does the bond offer? a. 7% b. 10% c. 9% d. 8%
6How long must one wait (to the nearest year) for an initial investment of $3,000 to triple in value if the investment earns 6.5% compounded annually? a. 22.01 years b. 9.81 years c. 17.45 years d. 25.00 years
7How much more is a perpetuity paying $5000 at the end of year worth than an
8Miller's Hardware plans on saving $40,000, $50,000, and $58,000 at the end of each year for the next three years, respectively. How much will the firm have saved at the end of the three years if it can earn 6% by reinvesting its saving? a. $155,944.00 b. $169,004.13 c. $148,000.00 d. $148,078.15
9On the day you retire you have $500,000 saved. You expect to live another 30 years during which time you expect to earn 8% on your savings while inflation averages 3.5% annually. Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime. What real amount will you be able to spend each year? a. $61,931.78 b. $79,211.09 c. $79,644.58 d. $30,695.77
10Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32
11What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36
12A car dealer offers payment of $525.32 per months for 60 months on a $30,000 car after making a $5000 down payment. What's the loan's APR? a. 10.4798% b. 9.5224% c. 1.9609% d. 0.7935%
13Assume you plan to borrow $400,000 from your bank to buy a home. The bank offers: • a 5-year fixed rate of 6.05%, compounded monthly. • a 3-year fixed rate of 5.75%, compounded monthly. If you choose to repay the borrowing in equal installments monthly over a 20 years, what would be the difference between your monthly payments at the two different APRs? a. $89.32 b. $68.94 c. $26.98 d. $154.58
14You expect that the interest rate will decrease in the near future, therefore you eventually choose the 3-year fixed rate. Then, what will be your mortgage balance after 3 years? a. $321,598.59 b. $452,321.21 c. $365,056.12 d. $379,325.89
15Three years passed, it's time to renew your mortgage. Upon your renewal, your bank is now offering a new 3-year fixed rate of 4.5%, what would be your monthly repayment amount after renewal? a. 2825.32 b. 2598.54 c. 1965.21 d. 2563.60
16How much interests in total you have paid during the first 3 years of your mortgage? a. $54,365.22 b. $45,654.21 c. $56,987.25 d. $66,156.14
17A university graduate earns a starting salary of $50,000 per year, and expects to receive a 5% increase in salary in each of the next 4 years. If the inflation rate is 5% during the 4 years, what will be her real income in terms of today’s dollars at the end of 4 years? a. $55,987.32 b. $60,000.00 c. unchanged, $50,000 d. $63,123.85
Step by stepSolved in 3 steps with 1 images
- An annual percentage rate (APR) is determined by annualizing the rate using compound interest. Select one: True False The more frequent the compounding, the higher the future value, other things equal. Select one: True False Which statement is NOT true?  a. Figure A correctly displays the relation between FVs of $1 investment at the interest rates 12.7% and 9.8%. b. Investment of $1 needs more than 7 years to double its value at the rate 9.8%, while only requiring less than 6 yeas to double at 12.7%. c. Figure B correctly displays the relation between PVs of $3 future value at the interest rates 12.7% and 9.8%. d. A discount factor for 5 years at 12.7% is lower than the discount factor for 5 years at 9.8%. After reading the fine print in your credit card agreement, you find that the "low" interest rate is actually an 17.05% APR, or 1.4208% per month. What is the effective annual rate? a. 18.45% b. 19.41% c. 18.82% d. 19.56% A zero-coupon bond is a bond that pay no interest…arrow_forwardou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +arrow_forwardH1.arrow_forward
- Assume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24arrow_forwardTask: 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)^narrow_forwardwhat is correctarrow_forward
- Answer it correctly please. I will rate accordingly. Ty-ped answer only...arrow_forwardHi expert please give me answer general accountingarrow_forwardA customer is offered an investment where interest is calculated according to the force of interest,t {0.02t 0 ≤ t ≤ 3, 0.045 t > 3If the customer invest GH¢1000 now, what rate of interest, compounded quarterly is earned over the first 4 year period.arrow_forward
- For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: a. b. C. mpt in progress a. b. C. Annual Rate 10% 8% 10% Annual Rate 10% 11% 12% Number of Years Invested Number of Years Invested 26 16 7 11 6 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) 18 Number of Rents Involved 26 32 Compounded 28 Annually Quarterly Semiannually Frequency of Rents Annually Semiannually (a) Rate of Interest Quarterly % (a) Rate of Interest % % % % (b) Number of Periods % (b) Number of Periodsarrow_forwardPlease respond b, c, d, and e if possible.arrow_forwardI am having issues simplifying the compound interest last step after dividing the rate by periods and i have tje exponent, how do I input this into a calculatorarrow_forward