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PLEASE ANSWER QUESTIONS 10.4, 10.5, 10.6, 10.7, AND 10.8 USING EXCEL AND EXCEL F

ID: 3123576 • Letter: P

Question

PLEASE ANSWER QUESTIONS 10.4, 10.5, 10.6, 10.7, AND 10.8 USING EXCEL AND EXCEL FORMULAS.

What sum would be available in seven years' time if pound 3250 is invested now with a compound interest rate of 11% per annum (use Equation (10.4) and Excel FV function)? What compound annual interest rate would cause pound 3, 265 to grow to pound 5, 776 in six years' time (use Equation (10.4) and Excel RATE function)? Find the effective rate of interest which is equivalent to the following nominal rates (use Equation (10.6) and Excel function Effect): (a) 16% compounded half-annually. (b) 16% compounded quarterly (c) 16% compounded monthly (d) 16% compounded daily (1 year = 365 days) Find the nominal rate, j, compounded monthly equivalent to 16% compounded semi-annually. At what nominal rate compounded monthly will pound 2000 amount to pound 4650 in six years time use Equation (10 A) Excel RATE function)?

Explanation / Answer

Solution:

10.4

Syntax

FV(rate,nper,pmt,[pv],[type])

Here

rate = rate of interest 11% = 0.11

nper = total number of period = 7 year

pmt = payment at each period = 0

pv = present value = 3250

type = we can omit it here

therefore formula

FV(0.11,7,0,3250)

Answer:

10.5

Syntax

RATE(nper, pmt, pv, [fv], [type], [guess])

above can be written as

RATE(nper, pmt, pv, [fv])

here time = nper = 6 year

and FV = 5776

and PV = 3250

and pmt = 0

RATE(6,0,3250,5776)

10.6

EFFECT( nominal_rate, npery )

nominal_rate= The nominal interest rate

npery = The number of compounding periods per year

therefore

(a) 16% compunded half - annually

EFFECT( 16%, 2 )

(b)

EFFECT( 16%, 4 )

(c)

EFFECT( 16%, 12 )

(d)

EFFECT( 16% , 365 )

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