Loose Leaf for Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Loose Leaf for Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
ISBN: 9781259709685
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe
Publisher: McGraw-Hill Education
Question
Book Icon
Chapter 4, Problem 59QP
Summary Introduction

To determine: The amount of quarterly check.

Annuity:

The annuity refers to the payments of equal amount to be made after certain periods. These payments are made monthly, semi-annually or annually.

Effective Annual Rate:

The effective annual rate is the rate which is incurred or received on the various investment or loans. The effective annual rate is affected by the increase in compounding years.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given,

The salary structure is offered for 6 years.

The expected increase in the contract amount is $2,700,000.

The amount of signup bonus is $10 million.

The salary is needed in every 3 months.

The annual interest rate is 5.7% that is compounded on daily basis.

Calculation of the value of the quarterly check:

The formula to calculate the quarterly check amount is,

Quarterlysalary=PresentvaluePVIFAr,period

Substitute $28,069,200 for the present value and 20.19 for the PVIFA1.43%,24 (refer working note) in the above formula.

Quarterlysalary=$28,069,20020.19=1,390,252.6

The monthly savings are $1,390,252.60.

Working note:

Calculation of the effective annual rate:

EffectiveAnnualRate=(1+AnnualpercentagerateCompoundingperiods)Correspondingperiods1=(1+0.057365)3651=(1+0.00016)3651=0.0587or5.87%

The effective annual rate is 5.87%.

Calculation of the present value of the contract offer:

Loose Leaf for Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate), Chapter 4, Problem 59QP

The present value of the contract offer is $35,369,200.

Computation of the present value of the new contract,

Presentvalueofnewcontract=(Presentvalueofcurrentcontract+Increaseincontractvalue)=$35,369,200+$2,700,000=$38,069,200

The present value of new contract is $38,069,200.

Calculation of the effective quarterly rate,

Effectivequarterlyrate=(1+AnnualpercentagerateCompoundingperiods)Correspondingperiods1=(1+0.057365)36541=(1+0.00016)91.251=0.0143or1.43%

The effective quarterly rate is 1.43%.

Calculation of the present value of the quarterly salary,

Presentvalueofquarterlysalary=PresentvalueofnewcontractSigningbonus=$38,069,200$10,000,000=$28,069,200

The present value of quarterly salary is $28,069,200.

Calculation of the PVIFA1.43%,24 ,

PVIFA1.43%,24=[{1(11+r)n}r]=[{1(11+0.0143)24}0.0143]=10.71120.0143=20.19

Conclusion

Thus, the amount of quarterly check will be $1,390,252.60.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
.a. A first-round draft choice goalkeeper has been signed to a three-year, $10 million contract. The details provide for an immediate cash bonus of $1million. The player is $2million in salary at the end of the first year, $3 million the next, and 4 million at the end of the last year. Assuming a 10% discount rate, is this package worth $10 million? How much is it worth?  .b Suppose a business takes out a GHC5000, 5-year loan at 9%. If the loan agreement calls for the borrower  to pay the interest on the loan balance each year and to reduce the loan balance each year by GHC 1000, what would the loan repayment schedule look like? .c. Example: after carefully going over your budget, you have determined you can afford to pay GHC632 per month toward a new sports car. You call up your local bank and find out that the going rate is 1% per month for 48 months. How much can you borrow?
The Ginebra San Miguel convince Stephen Curry to play for the basketball fanchise for three seasons. they offer the player P1 million in year 1, P2.5 million in year 2, and P3 million in year 3. Assuming end of year payments of the proceeds of the contract, how would we find the value of hid contract today if the player has a discount rate of 12%, compounding semi-annually?
A basketball player is offered the following contract today, Jan. 1, 2020: $2 million immediately, $2.40 million in 2020, $2.90 million in 2021, $3.60 million in 2022, and $3.80 million in 2023. Assume all payments other than the first $2 million are paid at the end of the year.  If the appropriate discount rate is 10 percent per year, what is the present value of the deal? Please show in Excel

Chapter 4 Solutions

Loose Leaf for Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

Ch. 4 - Simple Interest versus Compound Interest First...Ch. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QPCh. 4 - Prob. 6QPCh. 4 - Calculating Present Values Imprudential, Inc., has...Ch. 4 - Calculating Rates of Return Although appealing to...Ch. 4 - Perpetuities An investor purchasing a British...Ch. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Calculating Annuity Present Value An investment...Ch. 4 - Calculating Perpetuity Values The Perpetual Life...Ch. 4 - Calculating EAR Find the EAR in each of the...Ch. 4 - Calculating APR Find the APR, in each of the...Ch. 4 - Calculating EAR First National Bank charges 10.3...Ch. 4 - Interest Rates Well-known financial writer Andrew...Ch. 4 - Calculating Number of Periods One of your...Ch. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Simple Interest versus Compound Interest First...Ch. 4 - Calculating Annuities You are planning to save for...Ch. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Annuity Present Values What is the present value...Ch. 4 - Annuity Present Values What is the value today of...Ch. 4 - Balloon Payments Audrey Sanborn has just arranged...Ch. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Growing Annuity Southern California Publishing...Ch. 4 - Growing Annuity Your job pays you only once a year...Ch. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Calculating Loan Payments You need a 30-year,...Ch. 4 - Prob. 39QPCh. 4 - Calculating Present Values You just won the TVM...Ch. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QPCh. 4 - Prob. 46QPCh. 4 - Prob. 47QPCh. 4 - Prob. 48QPCh. 4 - Prob. 49QPCh. 4 - Prob. 50QPCh. 4 - Calculating Annuities Due You want to lease a set...Ch. 4 - Prob. 52QPCh. 4 - Prob. 53QPCh. 4 - Prob. 54QPCh. 4 - Prob. 55QPCh. 4 - Prob. 56QPCh. 4 - Prob. 57QPCh. 4 - Prob. 58QPCh. 4 - Prob. 59QPCh. 4 - Prob. 60QPCh. 4 - Prob. 61QPCh. 4 - Prob. 62QPCh. 4 - Prob. 63QPCh. 4 - Prob. 64QPCh. 4 - Calculating the Number of Periods Your Christmas...Ch. 4 - Prob. 66QPCh. 4 - Prob. 67QPCh. 4 - Prob. 68QPCh. 4 - Prob. 69QPCh. 4 - Perpetual Cash Flows What is the value of an...Ch. 4 - Prob. 71QPCh. 4 - Prob. 72QPCh. 4 - Prob. 73QPCh. 4 - Prob. 74QPCh. 4 - Rule or 69.3 A corollary to the Rule of 72 is the...Ch. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - Prob. 3MCCh. 4 - Prob. 4MCCh. 4 - Prob. 5MCCh. 4 - Prob. 6MC
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning