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lidiya [134]
4 years ago
13

Sheldon just joined a new gym and signed up for a one-year membership. Membership fees can be paid in 12 monthly payments of $60

, due at the beginning of each month or in one payment today. If the appropriate interest rate is 10%, how much should he pay today for the annual membership
Business
1 answer:
mestny [16]4 years ago
4 0

Answer: $688.17

Explanation:

He has to pay $60 every month on the first day or a lump sum.

The lump sum will be the present value of monthly payments.

This is a stable Cashflow and so is an Annuity and because it is done on the first day of the month it is an Annuity due.

Calculating present value of annuity due is;

= Annuity + Annuity (( 1 - ( 1 + r) ^ -(n - 1)) / r)

= 60 + 60 (( 1 - ( 1 + 0.833%)-¹¹) / 0.833%) )

=60 + 60* 10.4695

= $688.17

Note: interest rate must be divided into 12 to make it monthly rate.

=10%/12

= 0.833%

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Answer: a. 0.72 percentage points

Explanation:

Given the following :

Nominal interest rate(r) = 11.85%) = 0.1185

c = number of compounding periods in a year

p = number of compounding periods rate is required for

Number of weeks in a year = 52 = p = c

Effective interest rate (E) is given as :

E = [( 1 + (r / c) )^p] - 1

E = [(1 + (0.1185 / 52)) ^52] - 1

E = [ (1 + 0.0022788) ^52] - 1

E = [1.0022788^52] - 1

E = 1.1256551 - 1

E = 0.1256551

Effective interest rate - Nominal interest rate

0.1256551 - 0.1185 = 0.0071551

(0.0071551 × 100)% = 0.7155% = 0.72%

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If Ralph has $2,900 in stable gross monthly income, what is the maximum total debt allowed for Ralph by conventional lenders
dezoksy [38]

Based on Raph's stable gross monthly income, the maximum total debt allowed per month is<u> $1,044</u>

Most conventional lenders prefer to lend to a person whose debt to income ratio is 36% and below.

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In conclusion, Ralph's maximum debt is $1,044

Find out more about debt to income ratio at brainly.com/question/24814852.

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